diff --git a/README.rtf b/README.rtf
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+{\*\ftnsep\chftnsep}\pgndec\pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803\brdrb\brdrhair\brdrw1\brdrcf1\brsp42{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\fs24\lang1033\loch\f6\hich\af6
+\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97}{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+README\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97---}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803\rtlch \ltrch\loch
+
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+--------------------------------------}{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+General Information------------------------------------------------}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+This file contains all information needed to recreate the Calculations and plot performed in the authors Bachelor\u8217\'92s thesis \u8220\'93Determining the Black Hole Population Through Gravitational Waves \u8212\'97 An Analysis of the Truncated Population Model\u8221\'94}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+-------------------------------------------}{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+Requirements---------------------------------------------------}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+To use the notebooks and Data please install a packet manager of your choice (e.g. conda, miniconda, mamba etc.) and create an python environment with following modules at the specified version.}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\fs24\lang1033\loch\f6\hich\af6
+\u8212\'97 }{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+Python 3.6.12}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+\tab Modules:}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+\tab \u8212\'97 hdf5 1.10.6}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+\tab \u8212\'97 Pesummary 0.10.0}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+\tab \u8212\'97 Seaboard 0.11.0}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+\tab \u8212\'97 Matplotlib 3.3.0}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+\tab \u8212\'97 Numpy 1.19.4}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+\tab }{{\*\bkmkstart __DdeLink__57_3298549543}\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+\u8212\'97}{{\*\bkmkend __DdeLink__57_3298549543}\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+ Scipy 1.5.1}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+\tab \u8212\'97 Caffeine\tab }
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+Please notice that the module \u8220\'93pesummary\u8221\'94 is not available for Microsoft Windows (status: 07/2021). The majority of plots will still work on MC-W}{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+i}{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+ndows but the posterior samples will have to be downloaded manually.}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+---------------------------------------------------}{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+Setup------------------------------------------------------}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+After creating the environment please navigate to the project directory. The directory should have the following structure:}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\sl340\slmult0\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\sl340\slmult0{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+```}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\outl0\expnd0\expndtw0\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+Project}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\outl0\expnd0\expndtw0\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+|\tab README.rtf}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\outl0\expnd0\expndtw0\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+|}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\outl0\expnd0\expndtw0\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+|}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\sl340\slmult0{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
++}{\cf1\outl0\expnd0\expndtw0\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+\u8212\'97\u8212\'97\u8212\'97\u8212\'97>data}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\outl0\expnd0\expndtw0\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+|\tab \tab |\tab postsamples.pkl}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\outl0\expnd0\expndtw0\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+|\tab \tab |\tab n250000.npy}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\outl0\expnd0\expndtw0\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+|\tab \tab |\tab o3a_bbhpop_inj_info.hdf}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\outl0\expnd0\expndtw0\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+|\tab \tab \u8230\'85}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\outl0\expnd0\expndtw0\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+|}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\outl0\expnd0\expndtw0\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
++\u8212\'97\u8212\'97\u8212\'97\u8212\'97>notebooks}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\outl0\expnd0\expndtw0\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+|\tab \tab | \tab Data fetching.ipynb}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\outl0\expnd0\expndtw0\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+|\tab \tab |\tab Publication_Plots.ipynb}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\outl0\expnd0\expndtw0\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+|\tab \tab |\tab MonteCarlo.py\line |\tab \tab |\tab }{\cf1\outl0\expnd0\expndtw0\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+Bayes.py}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\outl0\expnd0\expndtw0\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+|\tab \tab |\tab Dictionaries.py}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803{\cf1\outl0\expnd0\expndtw0\kerning1\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+|\tab \tab |\tab MATPLOTLIB_RCPARAMS.sty}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\sl340\slmult0{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+```}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\sl340\slmult0\rtlch \ltrch\loch
+
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\sl340\slmult0{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+The data directory contains all Dictionaries and precalculated datasets. The Notebooks are accompanied by the python Files defining the functions for the Monte-Carlo Analysis and Bayesian Analysis, and for initialising the Dictionaries used to manage the event data. The .sty file may be used to adjust the plot style.}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\sl340\slmult0{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+-----------------------------------------------}{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+Guide-------------------------------------------------------}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\sl340\slmult0{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+The notebook \u8220\'93Data_fetching.ipynb\u8221\'94 allows you to download the or}{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+i}{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+ginal prior posterior data published by the LVC. You can choose to download the data for a specific event or for all events. However, }{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+the combined GWTC-2 data will contain over 50GB. In my analysis a posterior .h5 file is only needed for one event to examplarily visualise the posterior parameter distribution in a corner Plot (cf. Fig. 3). For all other plots the relevant data is stored in the posterior dictionaries included in the folder \u8220\'93data\u8221\'94. For Windows users PESummary is not yet available and the corner-Plot won\u8217\'92t work. If you still want to explore the public data you can manually download it from https://dcc.ligo.org/LIGO-P2000223/public.}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\sl340\slmult0\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\sl340\slmult0{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+All other plots should be recreatable from the data file. For some computation intensive plots the calculation and plotting part is devided into separate cells. Feel free to play with the parameters and share your results! The framework of the algorithms as introduced in the thesis is implemented the the files \u8220\'93MonteCarlo.py\u8221\'94 and \u8220\'93Bayes.py\u8221\'94.}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\sl340\slmult0\cf1\kerning1\dbch\af8\langfe1033\rtlch \ltrch\loch\fs24\lang1033
+
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\sl340\slmult0{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+Possible issues:}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\sl340\slmult0{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+On Ubuntu get sure to install all packages necessary for the tex-rendering. The packages gan be installed though }{\cf1\outl0\expnd0\expndtw0\i\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+sudo apt-get install}{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+ (}{\cf1\outl0\expnd0\expndtw0\i\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+dvipng}{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+, }{\cf1\outl0\expnd0\expndtw0\i\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+texlive-latex-extra}{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+, }{\cf1\outl0\expnd0\expndtw0\i\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+texlive-fonts-recommended}{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+)}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\sl340\slmult0{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\fs24\lang1033\loch\f6\hich\af6
+\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97}{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+---------.--Copyright and Contac}{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+t}{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97--}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\sl340\slmult0{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\fs24\lang1033\loch\f6\hich\af6
+\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97\u8212\'97}{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+-------------------}
+\par \pard\plain \s0\ql\nowidctlpar\hyphpar0\ltrpar\cf1\kerning1\dbch\af8\langfe1033\dbch\af8\afs24\alang1081\loch\f3\fs24\lang1033\sl340\slmult0{\cf1\outl0\expnd0\expndtw0\kerning0\dbch\af7\langfe1033\dbch\af7\rtlch \ltrch\loch\fs24\lang1033\loch\f6\hich\af6
+The presented Notebooks including Code and plots are intellectual property of Marius Alexander Schulz. The Code may be used in its original or an altered form for academic purposes. Please reference the thesis or the Git page in this case. For any questions please contact schulz_marius[at]gmx.de.}
+\par }
\ No newline at end of file
diff --git a/data/MATPLOTLIB_RCPARAMS.log b/data/MATPLOTLIB_RCPARAMS.log
new file mode 100644
index 0000000000000000000000000000000000000000..5e1a9482fb4fe3ef4a86a02ccd3823d59c5c08d8
--- /dev/null
+++ b/data/MATPLOTLIB_RCPARAMS.log
@@ -0,0 +1,14 @@
+This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020) (preloaded format=pdftex 2021.1.19) 8 FEB 2021 12:15
+entering extended mode
+ restricted \write18 enabled.
+ file:line:error style messages enabled.
+ %&-line parsing enabled.
+**MATPLOTLIB_RCPARAMS.sty
+(./MATPLOTLIB_RCPARAMS.sty)
+*
+! Emergency stop.
+<*> MATPLOTLIB_RCPARAMS.sty
+
+End of file on the terminal!
+
+! ==> Fatal error occurred, no output PDF file produced!
diff --git a/data/SNR_distance weighting.ipynb b/data/SNR_distance weighting.ipynb
new file mode 100644
index 0000000000000000000000000000000000000000..b5184d583635e02c4c1bc13be6bd478a9d8fdf0b
--- /dev/null
+++ b/data/SNR_distance weighting.ipynb
@@ -0,0 +1,333 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "0.10.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "import numpy as np\n",
+ "import matplotlib\n",
+ "import matplotlib.pyplot as plt\n",
+ "#matplotlib.use('agg')\n",
+ "plt.style.use(\"MATPLOTLIB_RCPARAMS.sty\")\n",
+ "matplotlib.rcParams['text.latex.preamble'] = r'\\usepackage{amsmath}'\n",
+ "import seaborn as sns\n",
+ "import h5py\n",
+ "import scipy\n",
+ "import scipy.optimize as optimize\n",
+ "import pesummary\n",
+ "from pesummary.gw.file.read import read\n",
+ "print(pesummary.__version__)\n",
+ "from pesummary.gw.fetch import fetch_open_data\n",
+ "import os\n",
+ "from pesummary.utils.array import Array\n",
+ "from scipy.stats.kde import gaussian_kde\n",
+ "from numpy import asarray\n",
+ "from numpy import save\n",
+ "import json\n",
+ "import pickle"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Load the event data specifying the approximant waveform"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from numpy import load\n",
+ "list_sdict = []\n",
+ "eventints = load('eventints.npy',allow_pickle=True).item()\n",
+ "approximant = 'C01:IMRPhenomPv2'\n",
+ "for i in eventints[approximant]:\n",
+ " with open('list{0}.pkl'.format(i), 'rb') as input:\n",
+ " a = pickle.load(input)\n",
+ " list_sdict.append(a)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 34,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "GWTC2_posterior_samples = [[list_sdict[k][approximant]['mass_1_source'],list_sdict[k][approximant]['luminosity_distance'],list_sdict[k][approximant]['network_optimal_snr']] for k in range (0,len(list_sdict))]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 32,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "38975\n"
+ ]
+ }
+ ],
+ "source": [
+ "print(len(GWTC2_posterior_samples[0]))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Define a function that returns random template samples"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "#define random function used to give random samples out of the posterior samples\n",
+ "def rdsample ( i ):\n",
+ " \"gives a random integer in the range of the given smple size of event i in list GWTC2\"\n",
+ " return np.random.randint(len(GWTC2_posterior_samples[ i ][0]))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Defining the testfunction used for the model analysis"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def test_func ( x , a , b ):\n",
+ " return b * ( x )**( - a )"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Define the used Threshold snr and formula for the detection hypervolume"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "thresholdsnr = 5\n",
+ "def maxvol ( luminosity_distance , network_optimal_snr ):\n",
+ " \"gives the volume in which the event could have been detected\"\n",
+ " return 4 / 3 * np.pi *(luminosity_distance/1000 *network_optimal_snr/thresholdsnr)**3"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Defina a Monte Carlo Algorithm that returns a hypersample of n randomly drawn population samples"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 40,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def mc( n ): #monte carlo algorithm for the source mass 1 event density\n",
+ " \n",
+ " # -- initialize variables\n",
+ " atracker = []\n",
+ " btracker = []\n",
+ " maxtracker = []\n",
+ " histbars = []\n",
+ " histbins = []\n",
+ " samplelist = []\n",
+ " mcsample = []\n",
+ " weightslist = []\n",
+ " a = len(GWTC2_posterior_samples)\n",
+ " \n",
+ " for i in range( n ):\n",
+ " eve= [np.random.randint(len(GWTC2_posterior_samples[ j ][0])) for j in range (0,a)]\n",
+ " #print(eve)\n",
+ " #print(len(GWTC2_posterior_samples[i][0]))\n",
+ " # -- Generate random sample of templates for each event\n",
+ " mlsnr = [[GWTC2_posterior_samples[k][0][eve[k]],GWTC2_posterior_samples[k][1][eve[k]],GWTC2_posterior_samples[k][2][eve[k]]] for k in range (0,a)]\n",
+ " \n",
+ " # -- Calculate and list source_mass_1 and max. theoretical detection volume\n",
+ " mv = [[mlsnr[k][0],1/maxvol(mlsnr[k][1],mlsnr[k][2])] for k in range (0,a)]\n",
+ " weights = [row[1] for row in mv]\n",
+ " mcsample = [row[0] for row in mv]\n",
+ " mc_hist = np.histogram(mcsample,bins=20,weights=weights)\n",
+ " maxbin = np.argmax(mc_hist[0])\n",
+ " \n",
+ " # -- fit histogram from max bin number to hightst bh mass using test function\n",
+ " #popt, pcov = optimize.curve_fit(test_func, mc_hist[1][maxbin:-1], mc_hist[0][maxbin:],bounds=(0,[20.,300.]))\n",
+ " popt, pcov = optimize.curve_fit(test_func, mc_hist[1][maxbin:-1], mc_hist[0][maxbin:],bounds=(0,[25.,350.]))\n",
+ " \n",
+ " #plt.hist(mcsample,bins=20)\n",
+ " rdma = popt[0]\n",
+ " rdmb = popt[1]\n",
+ " atracker = atracker + [rdma] #keep track of power law parameter\n",
+ " btracker = btracker + [rdmb] # keep track of scaling parameter\n",
+ " maxtracker = maxtracker + [mc_hist[1][maxbin]] #keep track of lower fit boundary\n",
+ " histbars = histbars + [mc_hist[0]]\n",
+ " histbins = histbins + [mc_hist[1]]\n",
+ " samplelist = samplelist + [mcsample]\n",
+ " weightslist = weightslist + [weights]\n",
+ " \n",
+ " return atracker, btracker, maxtracker, histbins, histbars, samplelist, weightslist"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "In order to save runtime, this cell will calculate a sample of populations and save it to a file"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 43,
+ "metadata": {
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/opt/miniconda3/envs/baenv/lib/python3.6/site-packages/numpy/core/_asarray.py:136: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray\n",
+ " return array(a, dtype, copy=False, order=order, subok=True)\n"
+ ]
+ }
+ ],
+ "source": [
+ "from numpy import asarray\n",
+ "from numpy import save\n",
+ "# define data\n",
+ "m=10000\n",
+ "data = mc(m)\n",
+ "# save to npy file\n",
+ "np.save('n{0}.npy'.format(m), data)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Plotting\n",
+ "Load a population sample and plot the fitted model test function to the data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 44,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "means: 3.2474509149079873 178.63997805309185 5.797121695076072\n",
+ "medians: 2.737595460823403 175.0 5.542281131942998\n"
+ ]
+ },
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/opt/miniconda3/envs/baenv/lib/python3.6/site-packages/ipykernel_launcher.py:25: UserWarning: Attempted to set non-positive bottom ylim on a log-scaled axis.\n",
+ "Invalid limit will be ignored.\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#get data\n",
+ "from numpy import load\n",
+ "m=10000\n",
+ "answer = np.load('n{0}.npy'.format(m),allow_pickle=True)\n",
+ "\n",
+ "#start plot\n",
+ "plt.figure()\n",
+ "with np.errstate(divide='ignore'):\n",
+ " #print key sample values\n",
+ " print(\"means:\",np.mean(answer[0]),np.mean(answer[1]),np.mean(answer[2]))\n",
+ " print(\"medians:\",np.median(answer[0]),np.median(answer[1]),np.median(answer[2]))\n",
+ " #define plotting arrays\n",
+ " xs = np.linspace(0,200,100)\n",
+ " y = test_func(xs,np.median(answer[0]),np.median(answer[1]))\n",
+ " z = test_func(xs,np.mean(answer[0]),np.mean(answer[1]))\n",
+ " #plots\n",
+ " #for i in range( m ):\n",
+ " #plt.hist(answer[5][i],bins=answer[3][i],weights=answer[6][i])\n",
+ " plt.plot(xs, y,'r')\n",
+ " plt.plot(xs, z,'b')\n",
+ " #labels and settings\n",
+ " plt.xlabel(\"mass source 1\")\n",
+ " plt.ylabel(\"bh/Gpc3/bin\")\n",
+ " plt.yscale(\"log\")\n",
+ " plt.ylim([0,2])\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.6.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/data/data_o1o2o3_mass_b_iid_mag_two_comp_iid_tilt_powerlaw_redshift_result.json b/data/data_o1o2o3_mass_b_iid_mag_two_comp_iid_tilt_powerlaw_redshift_result.json
new file mode 100644
index 0000000000000000000000000000000000000000..1b96b44aeec4cab903bcf05a25960103ae31326e
--- /dev/null
+++ b/data/data_o1o2o3_mass_b_iid_mag_two_comp_iid_tilt_powerlaw_redshift_result.json
@@ -0,0 +1,324215 @@
+{
+ "label": "o1o2o3_mass_b_iid_mag_two_comp_iid_tilt_powerlaw_redshift",
+ "outdir": "/home/shanika.galaudage/projects/gwinference/condor/o3a/population_runs_200818/outdir_o1o2o3_no_190814_low_vt_fixed_redshift/result",
+ "sampler": "dynesty",
+ "log_evidence": NaN,
+ "log_evidence_err": 0.1844694857108693,
+ "log_noise_evidence": NaN,
+ "log_bayes_factor": -411.5202179075336,
+ "priors": {
+ "alpha": {
+ "__prior__": true,
+ "__module__": "bilby.core.prior.analytical",
+ "__name__": "Uniform",
+ "kwargs": {
+ "minimum": -4,
+ "maximum": 12,
+ "name": "alpha",
+ "latex_label": "$\\alpha$",
+ "unit": null,
+ "boundary": null
+ }
+ },
+ "beta": {
+ "__prior__": true,
+ "__module__": "bilby.core.prior.analytical",
+ "__name__": "Uniform",
+ "kwargs": {
+ "minimum": -4,
+ "maximum": 12,
+ "name": "beta",
+ "latex_label": "$\\beta_{q}$",
+ "unit": null,
+ "boundary": null
+ }
+ },
+ "mmax": {
+ "__prior__": true,
+ "__module__": "bilby.core.prior.analytical",
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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Publication Plots\n",
+ "This notbooks contains the code required to obtain the plots in my thesis. The functions used are defined in the python files \"Dictionaries.py\", \"Bayes.py\" and \"MonteCarlo.py\". To run this notebook a matching pyhton environment and file structure should be used (see. readme.txt)."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import matplotlib\n",
+ "import matplotlib.pyplot as plt\n",
+ "plt.style.use(\"MATPLOTLIB_RCPARAMS.sty\")\n",
+ "matplotlib.rcParams['text.latex.preamble'] = r'\\usepackage{amsmath}'\n",
+ "import Dictionaries\n",
+ "from Dictionaries import app1, app2, app3, waveformdict, priordict, postdict, edict, eventnames, zdict"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## The Truncated Model"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import numpy as np\n",
+ "from Bayes import popprior\n",
+ "import warnings\n",
+ "warnings.filterwarnings(\"ignore\") #ignore discontinuity in x=0\n",
+ "#Specify cut-off masses and power-law parameter of the Truncated Model prior\n",
+ "U_min = 2\n",
+ "U_max = 100\n",
+ "alpha=2.35\n",
+ "#Plot Prior\n",
+ "plt.figure()\n",
+ "x = np.linspace(U_min-12,U_max+12,50)\n",
+ "y = popprior(x,alpha,U_min,U_max)\n",
+ "plt.plot(x,y)\n",
+ "plt.xlabel(r'$m_1~[M_{\\odot}]$')\n",
+ "plt.ylabel(r'$p(m_1)[M_{\\odot}]$')\n",
+ "plt.title('Truncated model',fontsize=22)\n",
+ "plt.yscale(\"log\")\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## M1-M2 Scatter Plot"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from numpy import load\n",
+ "#get mass samples for IMRPhenomPv2\n",
+ "m1_dict=np.load('../data/m1_dict.npy',allow_pickle=True).item()\n",
+ "m2_dict=np.load('../data/m2_dict.npy',allow_pickle=True).item()\n",
+ "#list median masses\n",
+ "x=[]\n",
+ "y=[]\n",
+ "for ev in edict[app1]:\n",
+ " m1=np.median(m1_dict[ev])\n",
+ " m2=np.median(m2_dict[ev])\n",
+ " x.append(m1)\n",
+ " y.append(m2)\n",
+ "#add median masses for GW190521 for IMRPHenomPv3HM\n",
+ "x.append(np.median(m1_dict['GW190521']))\n",
+ "y.append(np.median(m2_dict['GW190521']))\n",
+ "#plotting\n",
+ "x1=np.linspace(0,max(x)+5,20)\n",
+ "plt.plot(x,y,'.',markersize=7)\n",
+ "#add equal-mass line for better visualization\n",
+ "line=plt.plot(x1,x1,'--',color='grey',label=r'$m_1=m_2$')\n",
+ "plt.xlabel(r'$m_1[M_{\\odot}]$')\n",
+ "plt.ylabel(r'$m_2[M_{\\odot}]$')\n",
+ "plt.ylim([0,75])\n",
+ "plt.xlim([0,100])\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Posterior Sample Corner-Plot"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "#Specify event\n",
+ "ev='GW190620_030421'\n",
+ "#Import data from posterior samples\n",
+ "import pesummary\n",
+ "from pesummary.gw.file.read import read\n",
+ "f = read(\"../data/GWTC-2_files/{0}/{0}.h5\".format(ev))\n",
+ "samples = f.samples_dict"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 547.2x547.2 with 9 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#Make corner-plot\n",
+ "one=samples[\"C01:IMRPhenomPv2\"]\n",
+ "fig = one.plot(type=\"corner\", parameters=[\"mass_1_source\",\"luminosity_distance\",\"network_optimal_snr\"], fontsize={'legend': 20, 'label': 20})\n",
+ "warnings.filterwarnings(\"ignore\")\n",
+ "fig.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Reweighed Median Mass Histogram"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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VSiUmVwDAPnegFrIdGxvT9PR07fXWWYC2bevKlSstr8AAAN7kyhYhXpFMJpXJZGSapkqlkmzbrlu9olQqKZfLqVgs1qa527atbDar+/fvy7IsTU5OKhKJNH0AGuhX5aff6tnzF12VPXzoO/IfedXlFqHfHKiwkpqvslEViUT0+eef1x0zDENjY2NtryEI9KNnz1/od7//c1dlf/bej+WNpzGxnx2oYUAAwMF0YGYDAgAOrq7CyksrrQMADr6uwmpkZMTtdgAA0JKje1aLi4t6++239d577zW8t3m1dgAAnHAUVtWp4T/96U8b3hsfH9fc3JyTjwcAQJLDsPL5fIrFYk23EZGkDz/8UPPz806qAADAWVitra1t+77f72dlCACAY47CKhKJ6KOPPtr2HC+uIwgA2F8chdXIyIjW1tY0OjqqL774ouk5vd74EABw8DlebunWrVu6cuWK/uEf/kHHjh1TPB6vbcmRzWZZ8RwA4JgrawPevn1bpmkqnU7XZgAGAgFdunRJo6OjblQBALuOBXy9w7WFbOPxeO0qqlwuy+9n6UoA+xsL+HqHK2G1tLQk27YViUQUjUYJKgCAqxyF1erqqt5///26zQx9Pp+Gh4c1Pj6u119/3XEDAQBwFFZzc3P65JNPFA6HVS6Xlc/n9fDhQy0tLenkyZO6e/du09UtAADohKOp68eOHVM4HJa08QBwLBbTxMSEHjx4oNnZWf3qV7/S48ePXWkoAKB/9WzzxXg8rv/8z/9kfUAAgGOOwiqZTG67gkUgEJBhGE6qAADA+arr2WxWP/nJT3T9+nU9ePBAT548qTuHFSwAAE45mmAxPT2tZDKptbU1raysKJPJyOfzyTAMhcNhFQoF3bx5s67M7OwsDwoDADriKKwMw9DFixdrr8vlslZWVmSapkzT1Orqqt5++20ZhlF7aHhhYYGwAgB0xFFYJZNJpVIp/e3f/q1Onz4tv9/fsJLF5vCam5tjFXY45pP0VfGbrsu/fFFxrzEAdoXjK6vqxou2bevo0aN1728Nr1KppHfffddJlYCev3ipmT+sdF3+0jvHXWwNgN3Q9gSLnZ6XamfWXyAQaLmrMAAArbQdVisrKxocHNTo6Kjm5+cbZv3lcrm2PieRSHTWQgBA32s7rEZGRvTzn/9cKysrevjwoaamplQoFGrvp1KpnjQQAIC271mVy2Wtra3pj3/8Y9NV1Uulkt577z3F43HFYjEdP3684R4WAADdaDusUqmU/vmf/3nbAMrn88rn80qn05I27lFVr8gAAOhW22HVbLbfZoFAQF988YUsy5Jpmvr000916dIlnTt3zpWGAgD6V9v3rAKBwLbvB4NBSVIkEtHY2JgePHigfD7vrHUAAKiDsCqXy9u+32xK+sWLFzU7O9t5qwAA2KTtsDp69Gjd7L+tqvtabWYYhtbW1rprGQAA/1/bYXX+/HmmpwMA9kTbYRWLxbS2tqYHDx50VMF2V2MAALSjo/2sfvOb3+jy5cttB1a5XFalwqKhAABnOgqrSCSiX//617p8+bL+5V/+pWHJpa1SqZQikYijBgIA0PGq68lkUpJ0/fp1ZTIZJZNJJRKJuhUrCoWCUqmUcrmc/vSnP7nbYgBA3+lqi5BkMqloNKqrV69qbm5OmUym4ZyBgQHdvXvXcQMBAOh6P6tIJKLPPvustqlioVBQuVyu7Qq8eQdhAACc2DGsnjx5su0yS5s3V+zETp8LAEDVjhMs/vEf/7EnFffqcwEAB8+OYdWrqedMaQcAtGvHYcBoNKpr1665WmmlUlE0GnX1MwEAB9eOYXXjxo3daAcAAC119FAwAAB7gbACAHieq2E1ODjo5scBACDJ5bByMsOP1dkBAK10vYJFMz6fb9v3y+Vyy1BaWFjQz3/+czebAwA4ILoOq9XVVfl8vo6G/tbX1zU1NSXDMBquwizLIqwAAE1tG1aFQkGhUKjpskjhcFipVEp+v18DAwNtVWYYhsbGxhSLxRreW1xcbLPJAIB+0/KeVS6X08mTJ3XixAmNjo423btqfHxc6XS6owqbBZUkJRKJjj4HANA/WobV1NSUEomElpaWNDo6ql/+8pcN5ywtLSmbzXZVsW3byuVyXZUFAPSXlsOAhUJBt2/f1sDAgAzD0PHjxzU7O6vR0VHlcjmlUilZlqWhoaG2Knry5IkymUxtCxHDMBQKhbS0tKRTp0659oUAAAfPtvesNt+L8vv9+p//+R+9++67Wl1d1cDAgG7dutX28N1vf/tbRaNRPXz4UFNTUwoEAjpz5oyz1gMA+kLLsAqFQg3HIpGIstmsfv3rX2tkZKSjik6fPq1YLFYrZ9u2FhcX274yAwD0r5Zhtb6+rvn5eUWjURmGoaNHj+rMmTM6duxYy0kS2ymVSnWvDcNgN2EAQFu2HQacmZmRbdvy+XwKBAIaHh7W0NBQV7v8JhIJXb9+XcPDw12FHQCgf7UMq+Hh4dr2ILZta3V1VSsrK5qamlKhUFA8Htf58+f19ttvt1XR1atXFQwGlU6ndfXq1dpEizNnzrCmIABgWy3DamhoSI8fP9bg4KAMw5BhGEokEhofH6/db/q3f/s3zc3NaXZ2dseKzpw5UzcZY3V1VaZpamFhgbACAGyrZVglEgldvXpVf//3f98wtbx6v+nixYsql8tdVRwOhxUOh7sqCwDoL9uuun7r1i2tr69v+wF+v7+tiuLxuK5fv950JQwAALbT8srq2rVrGhoaUjweb/p+deJFu+sCTk1NqVgs6p133pHP51MsFqt9fqeTNQAA/aVlWK2trSkQCGhmZkalUqkWLrFYrLaqxerqatsrUESj0dozVuVyWaZp6uHDh1pYWNDNmzdd+0IAgIOnZVj967/+a+2eUqlU0szMjB4+fKj/+I//0F/+8hfFYjEdP35ca2trbYXVyMiIcrmcDMPQwMCAEokEi9cCANrSMqw2T34IBAI6fvy4xsfHa8dM01Qmk9HExETT8tVhxOqVmFS/4nqnw4gAgP7V9rb2W1egiMfjunXrllZXV5uev7a2ppWVFV24cEE/+clPdO3aNc3Pz9d2CjYMQ6VSSUtLSw6aDwDoB23vFDwwMKBr167pn/7pn/Tmm2/ueL7bw4gAgP7VdljFYjFVKhVdvnxZpVJJ0WhUfr9fhmE0DRunw4gAAFS1HVbSxtDfgwcPtLq6Ktu2ZRhG2w/2NhtGjMfjWlpa4r4VAGBbbd+z2iwcDiuRSHS0AkV1GPGLL77opkoAQB/r6MrKiU6HEQEAqHI1rCqVyrbvOxlGBAD0L1fDqt0hPhaxBQB0YteGAd2QyWQUDAYlbTxUPDY25koZy7I0PT2t27dvu9tgAIAr9k1YZTIZSRubQkobwTM5OVnbILKbMpZlaWFhQaFQqPawMgDAe/ZVWN27d6/22jAMmabpqEwkElEkEpFlWbp//777jQYAuKKrqeu7rVQqybKshuOBQKBlYHVTBgDgTfsirGzbViAQaDgeDAabBlK3ZQAA3rQvhgGLxWJtksRmfr+/5U7G3ZTpVj6f77rs977/AxXXi12Vrbx82XXZTstvPW8363az7G7V3eocJ3U/ffpUj/67+cLRvebk/9N22v3o0aOuPrvXev29nfBqn/XKvggrr4tGozp8+HBXZb8qfqNgqDFU2+F75ZWuy3ZSvrhebDhvt+p2u+xu1N2sv9yo+8iRI3rrrbe6KuuUk/9Pd2r3o0eP9ux77aSX39sJL/eZE8+ePWv5x/++CatisfGvm3K5rFAo5GoZwKt82vjl2Y3Dh74j/5FX3W0QsIv2RVhFo9GGhXCljTCKRCKulQG87PmLl5r5w0pXZX/23o/ld7k9wG7aFxMsAoFAbbPGzUqlkuLxuGtlAADetC/CSpLGxsY0PT1de21ZVl3o2LatK1eu1IXTTmWqmg0XAgC8Y18MA0pSMplUJpORaZoqlUqybbtu9YpSqaRcLqdisVibsr5TGdu2lc1mdf/+fVmWpcnJSUUiESWTyV3/fgCA1vZNWEnaNkQikYg+//zzjsoYhqGxsbG21hgEAOydfTMMCADoX4QVAMDzCCsAgOcRVgAAzyOsAACeR1gBADyPsAIAeB5hBQDwPMIKAOB5hBUAwPMIKwCA5xFWAADPI6wAAJ5HWAEAPI+wAgB4HmEFAPA8wgoA4HmEFQDA8wgrAIDnEVYAAM8jrAAAnkdYAQA8j7ACAHgeYQUA8DzCCgDgeYQVAMDzCCsAgOcRVgAAzyOsAACeR1gBADyPsAIAeB5hBQDwPMIKAOB5f7PXDQBwsPkkfVX8puX73/v+D7Z9//Ch78h/5NUetAz7CWEFoKeev3ipmT+stHy/uF5UMBRs+f7P3vux/L1oGPYVhgEBAJ5HWAEAPI+wAgB4HmEFAPA8wgoA4HnMBgQA1Ck//VbPnr/oqmyvHjUgrAAAdZ49f6Hf/f7PXZXt1aMGDAMCADyPsAIAeB7DgAA8baflmrbDUk0HB2EFwNN2Wq5pOyzVdHAwDAgA8DzCCgDgeYQVAMDzCCsAgOcRVgAAzyOsAACeR1gBADyPsAIAeB5hBQDwPMIKAOB5hBUAwPNYG9CBSqUiSfr222+7/oz/ff6t/m+X62w6KdtJ+f/9P680nLdbdbtddjfqbtZfu1X3dmWfPev+b9Netnu7/nKj7r383k7q3smzZ8969tl79b2rv0urv1s381WaHUVbyuWyvvzyy71uBgAcKG+88Yb8/voliAkrB16+fKmvv/5ahw4dks/n2+vmAMC+VqlU9Pz5c333u9/VK6/UX50RVgAAz2OCBQDA8wgrAIDnEVYAAM8jrAAAnkdYAQA8j7ACAHgeYQUA8DzCCgDgeawNCElSJpORJFmWJUkaHx9XIBCoez8YDEqSbNvW2NjY7jfSw65cuaLbt2/XHaPPGqXTaQUCgVq/DA8P196jv+pVfyYlaW1tTR9++GF//0xW0Pfm5uYaXr/zzjt1rzefs7a2VvnVr361a+3zunw+X3njjTfqjtFnjS5fvlxZW1urvX7jjTcqxWKxUqnQX1vNzMzU+qbq8uXLtf/ux/5iGLDPlUqlhmPJZFK2bcs0TUkbf8Elk8na+4Zh1N6DVCwWG47RZ/UymYyOHz8uwzBqxz777LPalQL9VW9lZaXuKkra6JPqz2s/9hdh1eds29bk5GRDaBmGIdu2VSqVakODmwUCgQP/w9GObDareDxed4w+a5RKpeqG/CTVgov+alQoFBr6pFwuKxAI9G1/EVZ9LhKJ6N69ew1/xdm2rWg0Ktu2G96TpGAw2PQHpp9YlqVIJNJwnD6rVyqVan8MZbNZmaapdDpdO0Z/NfrNb36j999/X+l0WpJkmmbtSqpf+4uwQsMv3Gw2K8MwFIlEVCwWazdxN/P7/VpfX9+lFnqTbdt1w1pV9Fm96i/XUqmk4eFhxeNxJZNJvf/++5Lor2aqf0TOzMzoxIkTtWNS//YXYYU6pVJJMzMz+uSTT/a6KZ6WzWYbhrXQXLFYVKlUqgv26pXBQR62csK2bWWzWf3xj3/UyMiILly4UDc7sB8xdR11UqmUbt26VTfM0GwCQblcVigU2sWWeUerK6rN6LO/qvbV1qGr6rBV9Qp+q37tL2ljiv+NGzckSRMTEzpz5ozef//9Wl/2Y38RVqhJp9MaGxur+0UcjUabzhgsFotN79f0A9M0VSqVGq4Kqs8QnT59mj7bZLtgDwQC/D+2hWmaDZN2IpGIbt26peXlZX344Yd92V+EFSRtTIUdHh6u+8VS/aGpTpnd/JdxqVRq+IHqF5unDFelUqm6hzLps3qRSKThirQ6iScQCNBfbYhGo7Isq2/7i3tWkGmaikajdVOJN181jI2NaXp6uvbasqwD/UPhBvqs3vj4eG1mm7TRH9VJPBL9tVk8HtfCwkLD8c3PVvVjf/kqlUplrxuBvWPbtk6ePNn0vc8//7zuoc3qX3N9sbRLm0zT1NzcnBYXF5VIJHT+/PnaLw36rF42m5Vt25Kk9fV1TUxM1L1Pf/1VqVTS9PS0QqFQ3UzKzVem/dZfhBUAwPMYBgQAeB5hBQDwPMIKAOB5hBUAwPMIKwCA5xFWAADPI6wAAJ7HckvAATI5Oal8Pi9J+uSTT5rue7SbpqamlMvlVCqVmu6bBrSLsAIOkPX1dd27d2+vm1FTXaXiypUre9wS7HcMAwJ9wrZtXblyRSdOnNAPf/hDTU5OtlXuwoUL+uEPf6iTJ0/qypUrtSWTgN3ElRXQJwzD0O3btzU1NaXV1dXacOF2stls7b8/++yzXjYP2BZXVkAfMgxjxyuk6p5Jtm0rkUjsRrOAlggroM+EQqHaat3buX//fm0fqqGhoV1qHdAcYQX0kc0bakpqeXVVPc+yLEk68Hslwfu4ZwX0kGVZMk1Tpmnqxo0bMgyjtgnh+vq6bNvW7du3JUnpdFrr6+uSpHK5rBs3brjenuXlZU1MTNSmkG/dvbfKtm3F43Gl0+nazrTAXiKsgB5aWFjQxMSEbNvW5OSkwuGwPvzww1pYnDx5shZemzfPO3HihOLxuIaHh3vSrmr4NNthdvOOtKZpKhaL9aQNQCcYBgR6xLZtHT9+vPbf+Xy+LqgkKRAIaGZmphYOVcFgsCdTxEOhUF3dW+uwLEvRaFSSajvQcr8KXkBYAT1UvTLK5/O6dOlSwwoOlmU1HK+GRCQSafqZ6XRamUym47ZU70NVNZsRmM/na/Xev39fEver4A2EFdAjmycxlEqlhl/61ckLW4f6qs8/Va9wqkzTVDqdroVIp5aXl+sCcGBgoC6sMpmMTp8+XXc+96vgFdyzAnrMNE1JarhSyufzTcMgm80qEok0XIXF43HF43GtrKy40i7DMLS4uChpI1CDwWBdnblcbtv7VbZt177b5s/kSgy9QFgBPba8vNz0F/jy8nLTMLh//74uXbokqfVsvW5svl8lSceOHZO0MeyYzWbrJnhUrwZb3a8yTVOlUqnhXptt20qn03WfBbiBYUCgx3K5XNOwyuVyDWFgWZZKpVJtaHBubs6VNmy9XyX9dZhxenq6YSiyesXUrN3VocNmMxUNw1AymezqnhqwHcIK6KFW96taHS8Wi7WhQcuyarMJnUqlUg1XaNXX1RUtNtvuflWz4NssEAgoGAy60GrgrwgroIeqw3hb71dVZ/ttDYN4PK5oNKp0Oq18Pu/4OavJyUmdOHFClmXp7/7u72rPdEkboRKPx+uG7CYnJ3X27FktLi6qVCrpwoULO14lTU1N6cKFC3XHIpFIbQIJ4AbuWQE9FI/Hm65WHo/HW+47dffuXdfqv3HjxrYrYWytq5tVM3K5XEMwBYNBWZbVcvo90CnCCoAj9+7da1gUd/PzWoAbGAYE0JFgMNgQTs0edub5LLiJsAL2CcuylE6nlcvllMlklE6nd9zmoxeGh4e3vY+VzWZ7tqYh+hfDgMA+EYlEFIlEPPEM09jYmDKZjILBoCKRiILBoPL5vCzL0vDwMFdVcB1hBRwgoVBIZ8+elSR98sknDcNzbtq8Mnt1MsXWKe1TU1PK5XJ7cgWIg8VXqVQqe90IAAC2wz0rAIDnEVYAAM8jrAAAnkdYAQA8j7ACAHje/wMm3dp74CpisQAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from MonteCarlo import det_vol_time\n",
+ "import pickle\n",
+ "with open('../data/mc_postdict.pkl', 'rb') as input:\n",
+ " mc_postdict = pickle.load(input)\n",
+ "\n",
+ "medians=np.array([np.median(mc_postdict['mass_1_source'][ev]) for ev in mc_postdict['mass_1_source']])\n",
+ "weights=np.array([365.25/149.9/det_vol_time(np.median(mc_postdict['luminosity_distance'][ev]),np.median(mc_postdict['network_optimal_snr'][ev])) for ev in mc_postdict['mass_1_source']])\n",
+ "\n",
+ "plt.hist(medians,bins=20,weights=weights,alpha=0.7)\n",
+ "plt.xlabel(r'$m_1[M_{\\odot}]$')\n",
+ "plt.ylabel(r'$\\frac{d\\mathcal{R}}{dm_1}[Gpc^{-3}yr^{-1}M_{\\odot}^{-1}]$')\n",
+ "plt.yscale(\"log\")\n",
+ "plt.gcf().subplots_adjust(left=0.2)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Population Density Plot"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from MonteCarlo import mc\n",
+ "\n",
+ "#keep activated to plot precalculated simulation-----------------------------------------------------------------\n",
+ "m=5000\n",
+ "answer = np.load('../data/n{0}'.format(m)+'.npy',allow_pickle=True)\n",
+ "\n",
+ "###activate to simulate own population sample: ------------------------------------------------------------------\n",
+ "\n",
+ "#m=5000 #set population sample size\n",
+ "#answer=mc(m,app1) #perform Monte-Carlo Simulation on sample\n",
+ "#np.save('../data/n{0}'.format(m)+'.npy', answer) #save analysis sample"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.figure()\n",
+ " #plot population histogram bin markers\n",
+ "for i in range(m):\n",
+ " plt.plot(answer[4][i][:-1],answer[5][i],\",\",alpha=0.3,color='grey')\n",
+ " plt.yscale(\"log\")\n",
+ " #plot adjustments\n",
+ "plt.gcf().subplots_adjust(left=0.2)\n",
+ "plt.xlabel(r'$m_1[M_{\\odot}]$',fontsize=22)\n",
+ "plt.ylabel(r'$\\frac{d\\mathcal{R}}{dm_1}[Gpc^{-3}yr^{-1}M_{\\odot}^{-1}]$',fontsize=22)\n",
+ "plt.yscale(\"log\")\n",
+ "plt.ylim([10**-4,5*10**1])\n",
+ "plt.xlim([0,130])\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Fit Parameter Distributions"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Opt.curve_fit-Plot"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "#Select which sample to load by specifying the sample size\n",
+ "m=250000\n",
+ "\n",
+ "path='../data/n{}'.format(m)+'.npy'\n",
+ "para_dict_log={}\n",
+ "para_dict_log[r'$\\alpha$'] = list(np.load(path,allow_pickle=True)[2])\n",
+ "para_dict_log[r'$\\log_{10}\\beta$'] = np.log10(list(np.load(path,allow_pickle=True)[3]))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 360x360 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import seaborn as sns\n",
+ "sns.displot(para_dict_log, x=r'$\\log_{10}\\beta$',y=r'$\\alpha$',kind='kde',fontsize=30)\n",
+ "plt.xlim([1,5.5])\n",
+ "plt.xticks(fontsize=19)\n",
+ "plt.yticks(fontsize=19)\n",
+ "warnings.filterwarnings(\"ignore\")\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Log_lsq-Plot"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "para_dict={}\n",
+ "para_dict[r'$\\alpha$'] = list(np.load(path,allow_pickle=True)[0])\n",
+ "para_dict[r'$\\log_{10}\\beta$'] = np.log10(list(np.load(path,allow_pickle=True)[1]))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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uaSHY1kICUYgr1K9bj/Ofr3bT1deTRTNGN+q934msAhZUhuHiR8Pp2QbCECQQhbji2O0KH/+8l29+O8SQ/r4888AIPBuxsEL66XwWvL8Zm13hlUfC6dW17Ux0kEAU4gpSUlrOPz/fQULySSaF9eThO0IaNPOkSlqmhQXvGwBY/KjjvzM8lwSiEFeIs5ftmnFrMLeN792o1WaOZph5fpkBJ42KVx5xrBkoDSWBKMQV4GiGmagVWygoLmvwsl1nO2jKZVF0Am4uGhY/OqbRK2M7CglEIdq4bXsz+ccn22nn7swbT4yjd7fGvfPbd/QML65IwMvDhVcecdxB1w0hgShEG/bfTUdY8X0yvbvpeP6hUXTUuTeqfPKhbKI+2EIHrRuLHx2DT/vGlXc0EohCtEE2u0J8Uh5bUtMZFeTHvKmhuLk27q/7jv2nWbwykc4dPVn8SDje2su/6dPlJoEoRBtjLbPx1mdJbEkt4NZxvXno1mA06sYt1Z+YcpLXP96Of2cvomaHXfSG845GAlGINsRcYOXlDxM5kJZLxDAds24PafRnbN6dwZufbqdPdx0vzQqjnYdLM9S0dZJAFKKNyMgu4MWYLeTkFfPMAyNwLTvZ6M/YkGTiX1/sIKBHB16cNRoPt5bfCe9ycoj1EIUQ57f/+Bnmv72JwuIyXnlkDOGDutY4by2z8cfuExzPrH9PoV+3HuefX+wguI8PLz0cdsWFIUgLUQiHl5CcwZJPk+ioc+eFWaPpdtYYQbtdIX7LMT5ds5/8olIG9/PhlUdqrxi/JuEY7329m6H9fXlu+sgGbzrf1lyZdy1EG/HDxsOs+CGFfvr2LJoxukbnh6XIxnPvb8Z4JAd/Py/yi0pp3652T/EPmw4T810KIwI788wDI3BxbtiisG2RBKIQDshmV1jxfTI//nGUsJAuPDU1FNezgmxLykmWrTmFXVHxyB0h/LrdhKuLhtsn9KnxOd9uOMSH/zUSFtKF+fcNx9npyn6LJoEohIMptpbz5qfb2bb3FLdf1YdpNwdVD6sxncrnkzX7SEg+SRdvZxbMGMun8fs4kp7Hc9NG0rd7++rP+fLXA3yyZh9jBndl3tTQRi3y0FZJIArhQLLzinn5g0SOZVp49M5B3BjeC6hoMX69/gCrfzmAq7OaKdcH0LdDAb8kHmdLSiazbg9mVHAXoGIjqc/W7id23QEmhHbnr5FD0UgYAhKIQjiMQ6Y8Xv5wC8VWGwsfGsXwgZ2BmpvJjx3clYdvD8Fb68a7n28gPukEt47rza3jKh6VFUXho58q1kK8fqQ/j989pNGDttsyCUQhHEBCcgZvfb4DnacLbz4ZXr1c/9EMM6+s3EqupaTGZvIJyRnEJ5kJC+nCQ7cGAxU9zjHfJfPj5qPcGN6T2XcMQi1hWIMEohCtmKIofL3+IB//vI8Af28WPDQSb6+KnuLNuzP41+odtHN35vXHx1bvn7z3aA5LPk2ie0cXnpoaikatwmZXeO/r3fySeJzbr+rDQ7cENWotxCuFBKIQrZS1zMY7sbv4fWc644d0Y86Uobg6a7DbFT7/peId4IAe3jw3bWT1wgvHMy1EfZCIr7c7947T4uqsodxm599f7OT3nelEXt+fqRMHSBjWQwJRiFYox1zM4pVbOWjK4/5JA7n72n6oVCqKSsr45+c7SDRmcv1Ifx69c1D1ZvJZucW8uDwBV2c1Lz0cTvrRfZSW2fjHJ9tJNGby4E2B3HVNvxa+s9ZNAlGIVuZweh6vfJhIQXEZz00bSVhIRe/wyexCXlmZSPrpAmbdFswt4/7cAsBSWMoLMQaKrOW8/vhYOnfw4MhBOy9/mMiuA1nMviOEm8f2bsnbcggSiEK0IgnJJ3nr8yS8PFxqrG69Y/9p/vHpdtQqeGnWaIb071RdpsRazssfbCEzp4iXHg6jV1cdhcVlfPJbNieyS5kbOZTrRvq31C05FAlEIVqBsztP+vu35/npo/DWulUf/2TNPnr4aVkwfWSNJfzLbXbe+GQ7B9JyefqBEYT08cFcYOWFmARO5JQy//7hjB3crQXvzLFIIArRwkrLbLzz1S42JKUzfmg35kRWdJ5Yy2wsXb2TTbtOMH5oN568Z0iNRRfsdoV/f7GT7ftO8fhdgwkf1JUzlhKeX2bgVE4hU8Z1lDBsJAlEIVpQjrmY11ZtIzUtl/siBnDPdf1RqVScsZSweGUiB015PHhTIHde3bdGz7CiKCz7dg+/70zngRsHEhHWk9Nninh+mYG8ghJefDiM0rzjLXhnjkkCUYgWknr8DK+u2kpRSTnPPjiieg3Doxlmoj5IpKColGcf/LNTpYqiKKz6cS9rDMe48+q+3HVNPzKyC3h+mYGi4jKiZoczoEcHkpIkEBtLAlGIFvDr1uO8+/UeOurceHNOOD0rZ55s33eKf3yyDQ+3isHWfc5ajKHKZ/H7idtwiEnhPXnwpkBMp/JZGG2g3Kaw+NExdZYRDSOBKMRlZLdXzCWO23CIIf18+fsDw/Gq3LPkp81HWf7tHnp20bFoZt1bhn6xdj+xvx7g+pH+PHLHII6dtPD8MgMatYpXHxtDDz/t5b6lNqVNB6LFYsFgMBAREdHSVRGCktJy/vn5DhKST3JjeE8evj0EjUaNza6w8r9Gvt94mBGBnZl/33Dcz9kyVFEUPl+byup1qVw3wp8n7h7C4RN5LIpOwM1Fw+JHx9D1rJWyxcVxiECcM2cOa9euBUCrrfkv4Lx584iMjKyznMlkYuHChcydOxeAoKAgIiMj671eiOaSm1/CKx9WdJLMvC2YWysHVZdYy3nr8yS2pGRy89hezLwtpNbqM2cv13XdCH+euGcIB9JyeSEmgXYeLix+JLzGUBxx8RwiEPV6Pb/++is6na7G8ejo6AuGW1xcHDqdrlaQCnG5nMgq4IXlCeTmW2t0kpyxlPDyh4kcSc9j1u3B1Ut0nU1RFD5Zs4+v/neQ60dWtAz3Hs0h6oMttPdyY/EjY/D1rv1oLS6OQwTimDFj0Ov1NY7Fx8czZcqUBpWXMBQtZf+xM0R9kIhKBa89NqZ6RZqjGWaiVmyhoLiMBQ+NYmSgX62yVb3JcRsOERHWk0cnDyL5UDZRHybSydudVx4Jr/M9o7h4DhGI4eHhNf7bZDIB1ApJIVqTxJST/OOT7XRs786Ls0bT1afiHd/ZPclnT88729lheGN4Tx6ZPIgdqad5deVWuvh48sojY2jv5VqrnLg0DhGI51q9ejXz589v0LVGo7E6QI1GI+Hh4QQFBTVn9YRg7ZaKbT37dG/PCzP/3A3vZ8NRouPO35Nctap11dCaRyYPYtveU7z20Tb8/byIejisxu56oumoFEVRWroSjREfHw/QoJ5ji8WCyWSqEYCTJ09m6dKlDWpdWq1WUlJSLr6y4oqjKAobU/L5LdlC3y5u3D22A67OauyKwq+7zBj2FdCvqxt3jak4Xpf1u81sNOYzvK8nN41ozz5TMV9vPoOftzP3X+OLu4vsf3IpQkND6z3ncC3E2NhYVq5c2aBrtVptrdZgWFgYMTExREVFNfhnBgcH4+oq/yI3h6SkpPN+QR2Jza4Q/e0efku2cM1wPU/eMwQnjRprmY1/fb4Dw74CJoX3ZHblcJu6rF6XykZjOjeM6sHjdw1m464TfG3YQUCPDrwwczSe7s4Nrk9b+t1eLg4ViCaTCbPZfEmf4e/vT2xsbBPVSIgKZeU23vpsB5v3ZDB5Ql+m3RyISqXCXGDllQ8TSU3L5aFbgrj9qj71rlb99fqDfBa/n6tDu/P4XYNZvz2Nt7/cRXBvHxbOGFVrbKJoeg7V9o6Pj6819KY+JpOJgIAALBZLM9dKXOmKSsp4MWYLm/dkMOPWYKZX7leSfjqfeW9v5MgJM888MII7JvStNwzjfjvERz/tZfzQbsydMoz4LcdYGruLIf18WTRTwvBycajfcnJycoN7lnU6HfPmzas15MZoNBIWFtYc1RNXoLx8Ky+uSOBYhoW/3TuMa4ZXfD9TDmezeOVWNBoVix8bw4AeHer9jO83Hmblj0bGDenG/907jB82HubD/xoZGejH0w8Mx8VZc7lu54rnUC3E9PR0vLy86jxnsViYM2dOdY+yVqutFYYmkwmDwdDgHmohziczp5C//2cTplMFPP/QqOow3LAjnYXRCbT3cmXJnPHnDcMfNh1mxfcphIV04W/3DuWr9Qf58L9GxgzuyrPTRkgYXmYO1ULs3r07ISEhdZ4zm80kJCRgMpmqW5GRkZHV7wstFgt5eXnExcVdtvqKtuvYSQsvLDdgLbPzyuxwBvbqgKIofPm/A3y6Zj/BfTqyYNpI2lUu3FCX734/zAc/VITh/PtC+eKXVL7630GuGa5nzj1D6u14Ec3HoQLx7bffrvecXq9n27ZttY7LvGXR1IxHcnj5w0RcnTW88fhYenTRUm6z897Xu1m3NY0Jod2Zc89QnJ3qD7S43w6x8kcj4YO6MG9qKKt+3MsPm44wcXQPHrtzsGwg30IcKhCFaGlbjZm88fE2fL3diXo4nE4dPCgqKeP1j7ax80AWU64P4C8TA86773HcbwdZ+eNexg3pxl+nDCX622TWbjnOreN7M/PWYNkzuQVJIArRQL9uPc47X+2mdzcdL1bOPskxF/PSii2kZeYz554hXD+qx3k/46v/HeDjn/cxbkg35kYO4d2vd7N+u4m7r+3H/ZMGShi2MAlEIS7g7B3xhvb35dlpI3F3deJ4poUXlydQWFLGohmjGTag03k/Z/W6VD6L31+9kVTVBlJTIwYw5fqAy3Q34nwkEIU4D5tdYcX3yfz4x1GuGtqduVMq3g0mH8pm8cpEXF00vP543Qs0nO2z+P2sXpfKNcP1PHrnYJZ8up0tKZlMvzmQyVf3u0x3Iy5EAlGIepSW2fjnFzvYvDuD26/qw/Sbg1CrVfy+I51/r95JFx8PXpwVRidvj3o/Q1EUPov/c9n/WbeH8MbH29i+7xSz7wjh5rG9L+MdiQuRQBSiDgXFZSxemUjK4RweuiWIOyb0RVGU6g6RoN4deX76+YfVnL246w2jejDjliBeXbWV3QezePyuwUSE9bx8NyQaRAY6CXGO7LxinvnPJvYfO8NTU0O5Y0JfysrtvPv1blb+uJexg7sS9XAY7TxcsNsVUo/nMmPxOoxHcqo/o2oJr6/+d5CJo3sw/eZAoj5MZM/BLObcM1TCsJWSFqIQZ0nLtPBCzBYKi8t4cWYYg/v7Yi6w8vrH20g5nMPd1/bjvoiBqFSweU8Gq39J5cTpfNwqO1mCendEURQ+/K+R734/zKTwntwXMZAXYhI4lG7mqamhjB/avaVvU9RDAlGISvuPneGlFVtwdlLz+uNj6d1Nx9EMM698mEhuvpWn/jKMCaF69hzK4oMfjBw5YcbTzYkym8K4QD9uDO+Foiis+CGFHzYe4eYxvYi8vj8Low2kZVp45oERtTadF62LBKIQVCzr/9pH2+iocyPq4TD8OnqyadcJlsbupJ17xabxPbtoeTt2J+u2ptGpgwdzI4ewfns6qWm5TL664h3j8u8qeqRvHdebyVf3ZcEyA5nZhSyYPorhAzu39G2KC5BAFFe8jTvT+efnO+jRRcuLs0aj9XTl458r3v8N7NmBZx8cgV1ReO69zaSm5XLXNf2YckMAX6zdT/LhbObcMwR9Jy+Wxe3hZ8Mxbhvfh1vG9eLZ9zaTaynhhVmjGdTXt6VvUzSABKK4oq0xHOX9uD0E9urIwodGoVLBqyu3snVvJjeM6sEjkwdxNMPM4pWJFJWU8+yDIwgf1JXfkkx889shJoX15NoR/rz3zW7WbjnO5Al9uWGUP8+8u5nikjJenh3OgJ71r3YjWhcJRHHFqppGNyKwM08/MIJcSwlRHyRyIquAR+4I4cYxvfgtKZ3/fLULb60bb84Jp2cXLcYjObwdu4uQPj7MuC2Yt7/cyf+2VUy/Gz+kG8++txmbXeHVx8ZecMC2aF0kEMUVp2pIzDe/HeKqod35671DST2ey+KVW1EUhahZYQT39WHlj3v5dsMhBvX14e/3D0fXzhXTqXwWr0ykcwcPnr4/lHdid/H7znT+ckMAwwZ04rn3N+PspOH1x8eg71z32p2i9bqoQFy7di3p6elMnDiR7t1rDiFISEggJCSEdu3aNUkFhWhKdrvCsm/3sMZwjElhFVt8bthh4p0vd9G5gwcLZ4xG5+lC1Iot7Eg9zc1jejHjtmCcNGrOWEp4ccUWNBo1C6aP5P24ZDbvyeCBGwcyoGcHFkYb0Hq68soj4fh19GzpWxUX4aIGZk+cOJEZM2ZgNBp56623KCgoqD4XFhZGdHR0k1VQiKZSbrPzry92sMZwjDuv7ssjk0P4/Jf9/OuLnQT26siSOeOx2ez839KN7DmUxRN3D2H25EE4adQUFpfxwvIELAVWnn1gBCt/NLJ5TwYzbwumZxctLy5PwKe9O288MVbC0IFd0iPzxIkT0ev1vPnmm4wdO5aBAweSn59/yTvjCdHUysptvPHxdhKNmdw/aSB3TOjLv1bvZENSOteP9OfROwezY/8p3vo8CVcXJ159dCwDe1V0hljLbLz8YSKmU/k8++AIvliXyq4DWTx25yDaubuweOVWenXV8uIs2UDe0V1UIP7yyy+8+eabpKenAxXvZGJjY1GpVGi1Wl5++eUmraQQl6LYWs7ilYnsPpjN7DtCmBCq58WYBPYcyua+SQO4+5p+fPW/g3wav5+++vYsmDYSn/buQEWr8s1PtrP3aA5P3j2Eb38/zL6jOfx1ytCKc59tJ7BXRxbNGIWHW8P3TBatU6MDce3atSxZsoTIyMham8BXbfl5ww03NE3thLhEBcVlvBSTwIG0XP46ZSiD+vryzH82cSKrgL/dO4zwkC7849MkNu/OYEJod564ewiulRs72ewKS1fvJNGYyfRbglibeJyDpjyemhpKVm4xq37aS+iATjzz4AjcXKR/si1o9P+LKSkprFu3rt7za9euvaQKCdFUcvNLeHH5FtJOWXj6gRF069SO+e9spKiknBdmjqarbzue/s8fHD1pZvrNgTX2TbbbFf7z5S427Ejnnuv6s3FnOsdPWnj6/uEcNOXx9fqDjBvSjb/dO+y8e6cIx9Lo/yfbt29/3vMTJ07kq6++utj6CNEkTucW8ey7f3Aiu4CFD43Gy9OFp9/ZhKIovPHEWJydNPzfv38n80whi2aMZvLV/arDUFEUlsXt4ddtadx+VR+2GjNJy8znmQdHsutAFl+vP0hEWE+emhoqYdjGNLqFmJycfMFrFEW5qMoI0RTST+ezMDqB4pIyoh4O44ylhLc+3IFfRw9eejiMHftPE/3tHjp5e/D8Q6NqjBdUFIWY71NYk3CMm8b0Yvu+TE7nlvDctJGs325i064T3HVNPx64UfY/aYsa/c9beHg4H3zwwXmvkS+KaCmH0/N45t0/KC+38+pjYzmcbuYfn2ynn749rz46hq/XH+Tdr3czqJ8vb80dXysMV/24l/9uOsINo/zZmXqK7LwSnps2gv/+cYRNu04w/eZAHrwpUL7jbVSjA/Gee+5hz549/PWvf2X//v11XpOWlnbJFROisYxHcqpniix+LJyNO9NZ/l0yIwP9+L+pw3j9422sMRxj8oS+LJoxutZq15+t3U/chkNcHdqdPQezyc0v5ZkHRhC77gC7Uk/zxN2DZf+TNu6iusaWLl3KnDlzuP322/H39yc8PLy6x3nz5s2EhIQ0aSWFuJBtezN5/aNt+Hp78MLM0axel8r67SYiwnpydWh3nn7nDwpLyph/X90LtMauSyV23QHGDe6K8UgOhcUV1676aS/pp/OZf/9wxg7u1gJ3Ji6nix4r8Pbbb2MwGIiJiWH16tUAaLVaZs+ezYwZM5qsgkJcyIYkE/9evZNeXbU888AI3vtmDztSTzM1YgDeXq4seN9AR50bbz45jl5day+28M36ijGIo4P92Hf8DMVWG3+7dxgx36dwxlLCwhmjGRZw/i1GRdtwSYOnwsPDCQ8PByA/Px8vL5nMLi6v/246wvLvkhnU14cn7h7M659s50h6Ho/fNRjTqXw+i9/PkP6+/P3+4XjVsSHUd78fZtVPexkxsDMH03IpLbfzxN2Dee+bPZSW2XjlkXAG9JDlu64UTTaaVMJQXE6KovD52lRWr0tldLBf5b4lW8gxl/DUX0L533YTO1JPc+v43jx0cxAaTe3X5T/+cYQPfkhhaH9fDqXnYrPDrNuCee/r3Tg7qXmtcpVsceWQ4fXC4djsCsu/rVid+roR/kSE9WDBss3Y7fC3e4fy6Zr9ZOYU8sTdQ5g4ukedn7HGcJTobytalkcyzKhQcf+kAbz7zR46eLkRNTtMFmm4AkkgCodSVm7n31/sYOOuE0ye0JdB/Xx4fpkBracLUyMG8N7XuwF45ZFwgvv41PkZa7cc471v9hDUuwNHM8w4O6mZfHVfor/dQ/dOXkQ9HIa31u1y3pZoJSQQhcMosZbz2sfb2LH/NNNuCsRb68rLHyTi7+fFNcP1vPPlLvw6erJoxmi6+NTduluXeJx3v97NgJ7eHMuw4O7qxMTRPfngByMDenRg0czRtHOXRRquVBKIwiEUFJcRtWILqcfP8PhdgykoLuNfX+wkpE9HenfT8cEPRob09+Xp+4fXGl9Y5detabzz1S766b05ftKCl4crYwZ34bO1+xk+sDNPPzBcFmm4wjnEREyLxUJ8fHxLV0O0kLx8K8+99wcHTbnMv284aafy+einvYwZ1AVPd2e+33iEiaN78MLM2oOtq/y6NY23v9xJn27tOX7STHsvN4b09+XbDYeZMKw7C6aPlDAUjtFCNJlMLFy4kLlz5wIQFBREZGQkkZGRFywbHx+P2WxGp9NhMpmIiIhAr9c3d5VFE8nKLWZh9Gay8kp49sGR/JZk4o/dGUwc3YMjJ8wcSs/joVuCuP2qPgDkF5XWGl5TFYa9uuo4ftKMn48n/p21/JJ4nFvG9WbmrcGo1TIVTzhIIALExcWh0+nQahs+DMJgMJCcnMz8+fOrj02fPp2VK1c2RxVFEzuZXcjzyzZTUFzGc9NG8M36QyQfzuaOq/rwx54MLIWlPDdtJCMD/Vi/3UTsrwc4mV3IW3PH09/fG6h4Z/jOV7vo2UXL8ZMW9J298PZyY/OeDP4ycQBTru8v85JFNYd4ZK7SmDAEiImJYcqUKTWOBQYGyuO3AzCdyueZd/+g2Grj7/cP56Of9rL3aA53Xt2XtYnHsdnsvP7YWHx07vztX7/z79U7OZldCMCh9DwA1m45zttf7qKHn5ZjJy306qrDzUXDroOneWTyIO69IUDCUNTgUIHYWAaDodbjcUhICD///HML1Ug0xLGTFp57bzN2ReFv9w7lvW/2cDK7kEnhvfj298N08vbg9cfHsXVvJk+9vZG8AiuP3zWY7p3aoWvnwqggP9YYjvKfr3bh7+fFsZMWAvy9KSu3cSg9j3lTQ7lpTK+Wvk3RCjnMI7PRaMRkMlX/+ewFJeq7vi5arZa9e/c2Sx3FpTucnsfC6AScndQ8fEcwS2N3YrcrDA/szI9/HGH4wM7cP2kAb32WRGpaLleHdufh20NYGruTjOxCXp4dxuY9GcR8l4K+sxdpmfkE9+5ItrmY3HwrCx8azbABMi9Z1E2lOMBqrhaLBZPJVCMAJ0+ezNKlS+vtIDEYDMydO5dt27Y16HhdrFYrKSkpl1Z50WAnckr5ZH0Wrs5qrhmk5aftebi5qGjv6URaVimjAzzx1ToTv9OMRgU3j/QmuIcHG5ItbEi2MHGYDrsd1u0y46t1IstSTq/OrmSZSym3w9SrfND7yq54V7rQ0NB6zzlEC1Gr1dZqDYaFhRETE0NUVFS95ao2vbrQsQsJDg7G1VX+IjWHpKQkQkNDOZCWy+dxBrRe7kye0JcV3yfTuYMHKpWKE9mFzLotGOPRHP677SSD+vrwt3uH4dPenY0709mQnM7Vod3p6OPJ52tT6e7bjvSsAoYFdCL1+BlcXVx4/eFwelxh85Krfrei4RwiEOvi7+9PbGxsved1utrLPAHVQ3BE65F6/AyLlieg9XThhlE9iP52Dz38tOTlWykrtzHrtmC+/f0w2XnFPHhTIJMn9EWtVrH7YFblJvMd8PZy5fO1qXT18SQ9q4ARgZ3ZfTCLjjp3oh6WecmiYVp9p4rJZCIgIKDRLbuqFuW55SwWC4GBgU1WP3Fp0rOtFWHo4UJ4SFc+/nkfvbvpyMguwNlZzc1je7PiB2NFr/LjY7nrmn6o1SoOpOWyeGUiXX088ffzIm7DYbp09CQju5BRQX7s2H+K7r5evPHEWAlD0WCtPhB1Oh3z5s2rNeTGaDQSFhZ23rJBQUHVHTFV8vLyGDNmTJPXUzTe/uNn+Hh9NloPFwb18yVuwyH6dNdx5IQZ/85e9O3WnthfDzConw///r8JDOhZsS7h8ZMWXliegNbTld7ddcQnHKdzBw9O5hQyMsiPrXszGdCzI68+NgZvL1mkQTRcqw9ErVZbKwxNJhMGg6HGgGuLxcKcOXNqBOC8efOIjo6uUTYhIaFBM1xE89p7NIdF0QY8XdX07q7jl8Tj9Oyi5XC6mUF9fSi22kg0nuT+SQN5YcZodO0q3uGeyCrg+WgDzk5qenXVsiEpHV9vd06dKWL4gE5sNWYyYqAfLz0chqcs0iAaySHeIUZGRla/L7RYLOTl5REXF1fjGrPZTEJCAiaTqbrnOTw8vMY8aJPJxNKlSy9v5UUtyYeziVqxBW+tK+4aG4Y9J+nm245jJy2MCOxM8uFs3JydiJodzuB+vtXlMnMKeX6ZAbtdoXc3HVtSMvHRuZFjLmFQXx+27z/NdSP8eeLuwXUuCCvEhTjEsJuWUjXsRnqZm87uA1lEfZiIb3s3PN2dOZCWh6+3O9m5xQzp78vOA1kM6OHNMw+OoKPOvbpcVm4xz75XsVGUf2cv9h49g7eXKwXFZfTuqiM1LZc7r+4rW4SeRXqZG88hWoiibUjaf4rFK7fSuYMHAIfTzXi4qjEXWOnfw5udB7KYOLoHs+8YhLPTny28HHMxC97fjKWwlG6+nuw7egYvD2eKrOV09W1HalouM24Nrl7gQYiLJYEoLovElJO8/vF2/Dp4UGwtJ7+oFGcnNQp2fNt7ciAtl5m3BXPruN41Wng55mKee28zufkl+HX05PAJMx5uTtjtCt7tXDlxOp95U0O5aljtrUWFaCwJRNHs/th9giWfJtHV15PcfCt2m4LNpuDd3o2CohLOWIpZ+NAoRgT61ShX1TI8Yymho86NtFP5uDprcHJSo1arMBdaeWHmaIb0l6l4omlIIIpmtX67iaWrd9DVtx2ZOYW4OjtRZC2nh58XmTlFuDmrePnR2vslV4VhjrkEXTsXTp0pQq1W0c7dmWJrOc5OGl59bCx9u7dvmRsTbZIEomg28QnHeO+b3XTzbceJrALauTuTX1RG7246jmaY6advzy2h7nWG4bPvVbQM27k7c8Zixa4o+OjcybWU4KNz56WHw+rdN0WIiyVjE0Sz+H7jYd79ejddfdqRfvrPMOzVVcuRE2bCB3Xl1cfGoqLi/WKV07lFPPPuH+RaSvBw1ZBfWEpZuZ3OHTzJyi2ih58X/3hynIShaBbSQhRNSlEUvvz1AJ/G78evowcnsgrwdHOmsLiM7p3acTTDQuR1/Qnu48MrHySSdSYPF9dCgvr4UFBUyoJlBvILS3FxVlNYUk5pub26hTksoBPPPDgCd1f52ormId8s0WQUReGjn/byzW+H8PV2r3hH6KLBZrfTQetGZk4Rj901iINpeSyMNlSXe+WREVgKrSx430BRcRlqFVhL7ZSW2enq68mJrAKuGa7nyXuG4CQDrkUzkkAUTcJuV4j5LpkfNx+lg9aNrNxinDRqXJ01lNvsWMvszLotmG/WHyIrt4hbx/cmMSWTouISXF00PPvuZkpKy7ErCoodrGU2/Dp6kJFVyF3X9OOBGwfKgGvR7OSfW3HJbDY7b3+5kx83H0Xr6UJufglqFbRv50JBcRm6di6MH9qN6G/3oACvPT6WM+YSTucWMSFEy+KVW7GW2Sgrt2NXFKxlNjpVzk+efUeIzD4Rl420EMUlKSu3s+Sz7Rj2nMTDzYnC4jIUBTp5e3Aqt4gBPbxRFPhp81GuGa5n9h0hfPFLKn/szuCWsb3537ZjqDUaSqxlaDRqysrseHu5kptv5ekHRjBmUNeWvkVxBZFAFBetpLSc1z7axo79p3F1VlNWbsdmV/Bt786p3CKGBXTioCmXcpudp6aGMmFYd1avS+W73w8zdnBX1m9PQ1GgsKgMJyc1il3B092J0nI7L88OJ6h3x5a+RXGFkUAUF6WwuIyXP0zEeCQHJ40KhYrWYvt2rmTnVSzUsCP1ND27aHnmwRF0823HDxsP81n8foYFdGL7vlM4O6kpLLHjpFHhpFFhV1S4uTjx4sNh9PC7spb7F62DBKJoNHOBlRdjEjh8woxKBWqVirIyO+6uTljLyunRRcuuA1lcN8KfR+4chKuzhrVbjhHzfQpBvTpgPJKNi7OG/KIyVCpwd3WiqKSMbp28eHFmGL7e7heuhBDNQAJRNEqOuZiF0QYysgpRFHDSqLErCmq1Cg9XJ8psdjKyCpgbOZTrRvoDsH57Gu9+vZu+3dtzIC0XVxen6jD0cFGRX1RGUO+OPD99JO08XFr4DsWVTAJRNNjJ7EIWLNtMrqUEm11BrQKNWoW1zE6Xjh6cyi3Gr4MHix8dQ8/KHe427kxn6eqd9PDTcjQjDzdXZwqKywDw9nLljMVK+KAuPPWXUFycNS15e0JIIIqGOX7SwsLozRQUl1NuU1ABLi4aSqw2/Dp4cDKniLCQLsyNHFq9dP/mPRm89XnFwg7HMy24u1b0QgP46NzINpcwsr8nf79/BBq1DKsRLU/GIYoLOpCWyzPvbqKwuJyycjsArpVh6O3lyuncIiaO7kFpmY2Nu04AkJB8kjc/2U4nb3fSTxfg6qKhqKQcgA7aijCcdlMgk0LbSxiKVkNaiOK8kg9lE/VBAjabQpmtYrcJFyc1NruCq4uG0jIboQM7s3bLcaCip7mDlytvfLwNb60rmTlFuDirsVptAOg8XTAXlPDUX4YxIVRPUlJSi92bEOeSQBT12mrM5LWPtqJSUR2GalVFR0qxtRxfb3dKy+wk7TtVXaZHFy2vf7wNbTsXsvNKcNKoKS+3owCebhVjDF+aFc7g/r71/FQhWo48Mos6bdiRzuKViaiActuf+5C5u1XsZdKpgwenc4tp7+XKTWN7AxDYqwM/bz5CO3dnci1WNGoVilIRhi7OalxdnHjjibEShqLVkhaiqGWN4SjvfbMHJ42qumUIVE/N03q6cDq3iLuv7ceAHh14ddVWevh5sf/YGTzdXcgrKKXiraACqFCpFDp38OTFWaPp5O3RQnclxIVJIIoavl5/kI9+2otGXdEyVKlAUcDZSUVZuR21SoWLk5rFj47BWaNmwTJD9X4nHm7O5BeVAqDWqNCoVJSW2wnu05EF00fRTjaOF62cBKIAaq5lqFaBzf7nORWgUqkpLbMxZnBXnrhrMKfOFLHg/c14uDpxOre4uvUIoFarcKocnzh+aDf+OmUozk4yxlC0fhKIArtdYdm3e1hjOIYKsFc+JTtpVJTbFJw0KlQqmBs5hGtH+JN2Kp8XYhJQqVXkFVhxP2tIjUpV0QtdUmpj8oSKjePVMqxGOAgJxCtcuc3Ov7/Yye8704GKt37wZxgCdPVpxzMPjkDf2YsTWQUsijZQVmanyFqOq7OGklJb9ee5uWgottpk43jhkCQQr2DWMhv/+Hg7W/dm1jiuUVe0GgHGD+nGk/cMwc3ViZPZhTz33mYKS8qxltpwdlJTWm6rDlEPNydKrOXVYwyFcDQSiFeoopIyXv4gkZQjObXOKahQFIVBfX04lJ7H3mNn6OrjyXPv/UF+UcUueBUtSDtKZRq6uTphs9l5YWYYwwbIxvHCMUkgXoEshaW8sNzAoXRzrXMqwNVZDajYcygbgJ/+OMKRDAvmyi1B1WoVNrtS/Xzt4qzBxUnFCzPH0t/f+/LdiBBNTAZmX2FyzMU8/Z9NdYYhgIe7M8VWGx11bmgql/Q6kJZLXr6VsnJ7xTAc+59jEzUaFR21brw5Z7yEoXB4EohXkJPZhcx/exMnThfUed5Jo6Ks3MZ9kwbg5eGCSqVCrVZRUFxG+TnjcDRqFaigV1cdbzw5lq4+7S7TXQjRfCQQrxDHTlqY//ZGsvOKUc45V7WhXUCPDvz7bxPYd/QM+4+dwdlJRbG1vMbUPUWpGFZTblMIHdCZVx8dg7eX22W7DyGaU5sORIvFQnx8fEtXo8XtO3qGv7+zCUthaa0wrJhvDJHX9efl2WF8tnY/SftP4+ysobSsYtOos7m7arCW2blhVA+enz4Sd1d5DS3aDof5NsfGxgKQlpaGyWRi9uzZBAUFnbeMyWRi4cKFzJ07F4CgoCAiIyOJjIxs9vq2Fjv2n+blD7fUaOVVUasqhsrMmzqcwf19eTt2J5t3Z+CkUWGzVeyRfDZ314oxhvdFDOCe6/rLXsmizXGIQIyNjWXSpElotRXL0ptMJiZPnsyqVasuGIpxcXHodLrqsleSTbtO8OYn22u1Cqv09/fm7/ePoIPOjXe+3Mn67SY0ahV2O4DC2Xno5lIxde///jKMq2WMoWijHOKR2WKx1Ag0vV7PpEmTiI6OblD5KzEMf958hH+cJwz7dNcxsFcHdF6uvB27k/9tM6FSUdkqVDj7SdnZSYVGreblR8ZIGIo2rdW3EE0mE0uWLCEiIgK9/s+/jHq9HoPB0II1a50URWH1ulQ+X5ta53knjQoXJw2H080cTjeTmV1EQsrJysJUhuKf12vUKnzae7DwoVHoO3tdhjsQouW0+kDU6/XExcXVCEOA5ORkAgMDL1jeaDRiMpmq/xweHn7Bx2xHZbcrRH+bzM+Go3Wed3FSU1pup9xWsRCDvrPXn2EIcFYYqqgYdz2gZweefXAEunauzVt5IVoBlaIo9T1VtVoWi4Vrr722zqA89zqTyVQjACdPnszSpUvPW66K1WolJSWlSerc3Gx2ha8357DPVFLnebWqYgbK0D4eJKYW4OKspthqr/PaqjUQB/fy4JaR3jhppPNEtB2hoaH1nnPIQJw+fTqzZs0iPDy80WXffPNN8vPziYqKuuC1VYEYHByMq2vrbSGVWMt5ccUWjHXMS64S3Lsjd0zoy5LPkrDbFaxltjqv06gr1kKcfnMQd0zo0+w9yUlJSef9goqLJ7/bxmv1j8zniomJITIy8qLCEMDf3796CE9bkGsp4Zn3/iAjq7DWOVXFZBLunTiA0AGdWBidQFm5veask7No1ODspOa5+0cwMtCvmWsuROvjEL3MVeLj49Hr9URERFzwWpPJREBAABaL5TLUrGUczTDz6D/+V2cYAvi0d+eNJ8YxLKATzy8zUFJaXm8YqlXQzsOF1x8fJ2EorlgOE4gGgwGtVlsjDM/Xy6zT6Zg3b16tITdGo5GwsLBmq+flstV4kr/963cKi8vrPB86oBNv/98E7IrC88sMWEtt2OoYnA0VrUi/jh4smTOePt3bN1+lhWjlHCIQjUYjQI3HZJPJVH0cKjpQ5syZU92jrNVqa4WhyWTCYDAwf/78y1Dr5qEoCt9vPMzLH26tNa0OKvc/AZL2n2b5d8ksjDZgLbPVeW2Vfvr2/OPJ8fh19Gy+igvhAFr9O0SLxcLkyZPrPDdz5szqP5vNZhISEjCZTNU9yJGRkdXvCy0WC3l5ecTFxTV/pZuJzWZnWdwe4rccr/O8pmqdwkq/70wHpea4wnONDPRj/n2huMmcZCFafyBqtVpSU+seZHw2vV7Ptm3bah1vK/OWi63lvPxBIsmHs+s8r1JVLNRabK3c7ImKoTN1jSGoGmM4cXQPHp08CI3GIR4UhGh2rT4QBWTlFrMw+g9OZBXVe83gfr4UlZRxIC0PqFzMuo4wVFcOvv7LxAFMuV4WaBDibNI0aOUOpecx95+/1RuGGrWKWbcHo4LqMKyPRl2RkXMjh3LvDQEShkKcQ1qIrdj5lu4C8PZy5a/3DuPz+P2kpuWe97Oqxhg+++Ao2QRKiHpIILZSv2w5xjtf7a73fGCvjsy8LYi3PkuqdxxiFbUKdO1cWTRjtAyrEeI8JBBbGUVR+OjnvXyz/lC919w8thdXh+p5acWWOlfBPpe/nxeLZoTh6+3etJUVoo2RQGxFbDY7b32WxKbdGXWe16hVPHnPENxdnXj2vT8oK7fX2Yt8ttABnfj7/cPxcHNuhhoL0bZIILYSJdZyXohJYO/RM3We13q6sGjGKLbtPUXsrwfO+1lVPcm3je/D9FuCKnbIE0JckARiK2AusDL/7Y2czKm7J7l3Nx3zpoay4vsUdqSePu9nqdUV4wzn3jOU60b6N0NthWi7JBBb2OkzRfztXxuwFJXVeT4spAu3je/DC8sTyM4rPu9nqYD27Vx5btpIAnp0aIbaCtG2SSC2oP3HzrBg2WZKy+pegea28b3p1MGDBcs2o9jrHGddQ69uWhbNGE1HnXSeCHExJBBbyPrtJv71xY56z98Y3pOTOUV8v/FI9VS78xkV5MdTU0Nln2QhLoH87bnMFEXho5/28s1v9Q+r8fZyZf12E6WVq1rXF4ZVq1tPntCXB24KlM4TIS6RBOJlVFZu442Pt5NozKzzvF9HDzJzisjNt+KkUZ93lRqNGlQqFXMjh0jniRBNRALxMskvKmXhMgOHT5jrPD83cggjAv1458tdJBoz613ZuoqunSvPThvJAOk8EaLJSCBeBqdzi3j23T84nVt3L/GMW4NRqVQ8+dZv5FqsF/y8kD4defoB2RpUiKYmgdjMjmdaePbdTeQX1b3Uv9bThfXb0ziaYTnvdp9qNSh2mBoxgLuu7S/vC4VoBhKIzeh8w2rGD+3Gxp0nsBSWVnee1LeqjVoFWg8X/n7/CEL6+jRrnYW4kkkgNpMd+08T9UECdb0KnBoxgFvH9cbby5U1hmOUlNa9R3KV3t10PP/QKBlfKEQzk0BsBoY9Gbz+0bZaw2XUalXFJvGlNma9+iuWwlLqe/CtGlIzKawns24PwdlJ1vIVorlJIDax35JM/PPz2gOug3p3JLh3R2J/PcDX6w9WB1x9I2tcnTX89d5QwkK6NGNthRBnk0BsQr8kHuedL3fVOKbRqCrf/w1nz8Es/P28SMvMr3NYTVULclSQH4/eOUgekYW4zCQQm8i5YahSgYuTBmuZjdx8K0+8uZ78ojKcqna4O6dpqFGrUKtg1h0h3DSml+x3IkQLkEBsAr9uTasVhooCj981CG+tGyt/3MvpM1VLeyln/e+faxd28nbn2Wkj6dVVd1nrLoT4kwTiJfp9RzpLY3fWONZR5052XjH7j+diSD5JXr4VNxcNUHNoTVXHyS3jejPtpkBcnDWXte5CiJokEC9B0v5T/POLpBrHbh7biwB/b97+che/JKbRUeeGWk2NoTVVQdi9kxdzIofS39/7clddCFEHGctxkQ6l5/Hqqq3Y7RWPyFpPF3SeLtwXMRAPd2dGBHbGbreTlVuEclb/iYuTGru9Ynn/t/56lYShEK2ItBAvwsnsQl6MSaCs3I5arcLLwxmtpwumUwVMf/kXiq3luDprUKtV1Y/Izk4qysoVuvq2Y/YdIQT3kRknQrQ2EoiNZCks5YWYBAqLy0EBu6Iw89ZgBvbqSNxvB9l37Aym0wVYK6fjqQCVWoVKpeLh24O5aUwv1DIPWYhWSQKxEcrK7bz8wRZOnynCZlcI6duR5EM57Dt2hm83HOZIhhkVFWMPATzcnCgqKWdoP18evXMQfh09W/YGhBDnJYHYCKt+NLL/eC5dfTwpKinnrqv7U1q2n18Sj6P1dMXVuWLcoZeHC7n5Vjpo3ZgbOZCwkC4yrlAIByCB2EBJ+0/xw6Yj3Dy2F3uPniEju5CDplxcnDSU2xTMBVZ82ruTnVdESamNv9wQwF3X9sPZSYbSCOEoJBAbwGZXiP42mW6+7XjoliCOZlh44+NtfBq/n64+ngzq68O+ozlk5xVz3cge3D9poCzeKoQDcphAjI+Px2w2o9PpMJlMREREoNfrm63c2ZIPZXEyu5BnHhyBs5OG/v7eLJo5mrjfDrF5TwYZ2YWMGdyVaTcFyntCIRyYQwSiwWAgOTmZ+fPnVx+bPn06K1eubJZy58rLr1jWv6ColO9+P4Rhz0n2HTuDk0bN1aHduXV8H3p20TbqM4UQrY9DDMyOiYlhypQpNY4FBgYSHx/fLOXO1aurDhcnNf/5ajcf/GCkpLScB28KZMWC65gTOVTCUIg2wmFaiOc+5oaEhPDzzz8TERHR5OXO1aOLlk9eimD/8Vy6dPSki488FgvRFrX6QDQajXUe12q17N27t8nL1cfDzZlhAZ0aXU4I4ThafSCazWa02rofSc3muvc4vpRydUlJSWnU9aJxkpKSLnyRuCjyu60tNDS03nOtPhABLBZLg441VblzBQcH4+oqw2iaQ1JS0nm/oOLiye+28Vp9p4pOV/eCqVVDaZq6nBDiytXqAzEoKAio3bKzWCwEBgY2eTkhxJWr1QciVISbyWSqcSwvL48xY8Y0SzkhxJXJIQJx3rx5REdH1ziWkJBAZGRk9X9bLBbmzJlTIwAbUk4IIao4RKdKeHg4FoulekC1yWRi6dKlNa4xm80kJCRgMpmqxx42pJwQQlRxiEAELjiQWq/Xs23btkaXE0KIKg7xyCyEEJeDBKIQQlSSQBRCiEoSiEIIUUkCUQghKkkgCiFEJQlEIYSoJIEohBCVJBCFEKKSBKIQQlRymKl7LUFRFABKS0tbuCZtm9VqbekqtFnyu62bi4sLKpWq1nGVUvW3XtSSn5/PgQMHWroaQogmVt8q+BKI52G32yksLMTZ2bnOf02EEI5JWohCCHEB0qkihBCVJBCFEKKSBKIQQlSSQBRCiEoSiEIIUUkCUQghKkkgCiFEJQlEcVmdvS2sEK2NDMyuR3x8PGazGZ1Oh8lkIiIionq/Z3HxjEYj06ZNw2KxABAUFERkZCSRkZEtXDPHZDKZmDt3LnFxcXWel+9x48jiDnUwGAwkJyczf/786mPTp09n5cqVLVirtiMuLg6dTodWq23pqjgsk8nE6tWr8ff3x2g01nmNfI8bTx6Z6xATE8OUKVNqHAsMDJRHvSYkYXhp9Ho98+fPP2/LWr7HjSeBWAeDwVDrsSIkJISff/65hWokROPJ97jx5JH5HPU9fmi1Wvbu3XuZa9M2GY1GTCZT9Z/Dw8MJCgpq4Vq1LfI9vjgSiOcwm831Ps6ZzebLXJu2p6rFUhWA4eHhTJ48maVLl8rL/iYk3+OLI4/MdajqAb3QMdF4Wq22VmswLCyMmJiYFqpR2yXf48aTQDyHTqer83jV0AXR9Pz9/UlJSWnparQp8j2+OBKI56hqvZz7L6nFYiEwMLAlqtRmmEwmAgICpJVyGcj3+OJIINYhKCio+qV/lby8PMaMGdNCNWobdDod8+bNq/Vuy2g0EhYW1kK1arvke9x4Eoh1mDdvHtHR0TWOJSQkyGyKS6TVamuFoclkwmAw1Bg8LJqGfI8bT6bu1ePswasy5alpxcbGAhWPb3l5ecyePVsGajeSxWIhNjaW5ORk1q5dy8SJEwkJCSEyMrLG71K+x40jgSiEEJXkkVkIISpJIAohRCUJRCGEqCSBKIQQlSQQhRCikgSiEEJUktVuRKtkMpl48803yc/PZ9asWYSHh7d0lS5ZfHw8JpOJoKCgNnE/bZG0EEWrVLUitMFgcPi5z1XhHhQUxKxZs7BYLEyfPr2lqyXqIIEoWi29Xu/wC8eaTCbi4+OZP39+9QyRiIgIzGYzBoOhhWsnziWBKEQzWr16NbNmzap13GQyOXzLty2SQBSimRgMBm688cZax6vCUN4jtj4SiEI0k82bN9f5yD937lyioqJkQYtWSHqZhcOpWumlKlAsFkutVV6golc3OTkZf39/0tLSuPHGG6tX5k5LS2v2Jcfat28PUN2BYjabsVgsREVFSeuwlZJAFA7FZDKxaNEili5dWiMQ586dW+NYfHw8y5cvJy4urrrsddddR1xcHFqttt5d6ZqK0Wisbh1GRUVhMpkIDg5mzZo1rF69WgKxlZJHZuFQFi1aVKs1qNVqiYiI4Pnnn68+FhsbS3BwcI2yer2+ei3G5u69NhgM1aGn1+sJDw9Hq9USGRnJ2rVra61kLVoHCUThMKpW166rdTVp0iTWrl1b3XNb1yKol3P7zby8vHrP6fV6GXLTSkkgCodR1aqqqzOi6ljVO8JZs2bVGNRd1bN7vuXzY2JiqluQdZ2Lj48nNja2QWFW9f7wfPchWh95hygcRmPG7el0OpYuXcqaNWuqy1a9PzyXwWDAaDSyZs2aOgNz0aJFREREVLdMp0+fTnBwcL29xGe/PzxXVRjKMv6tkwSicBhnb61Z12ZVQPV7w6pwa8i7wvDwcMLDw0lOTq7z/Jo1a4iKiqpxfWxsbJ0DrqEiYOtricbHx1e/UxStjzwyC4dRNZWvqtV3tvj4+OqOC6gIzaboSTYajbU2dtdqted9bDYYDHW+r7RYLCxfvpylS5decr1E85BAFK3auY/JS5cuJTY2tsZxk8lUqxUXFBRU7/vAxjCZTLVaozqd7rwdNIGBgTV2u4M/hwa9/PLLDj8/uy2TR2bRKlWtEGMymViyZAkmk4lZs2ah1+tZtWoV0dHRtG/fHq1WS1paGqtWraoRXOHh4SxZsoSAgIDqY1qtluDgYObNm3fJoVTf+0yj0Vg9XS8mJqa6TmlpaTXGSYrWSQJRtEp6vZ633367znNarfa8s0wsFgtLliyp0RqzWCyYzWaMRiPTpk1j1apVDQ7Fc8PPbDbXG2wGg6H63aK0BB2PBKJoc2JjYwkKCqoRSFqtFq1Wi16vrx7P2JDA0uv1dT4en/teUbQN8g5RtDnh4eG13uGdzWAwEBER0aDPqis0ZaWatktaiKLNCQoKIioqqsY7vCpViys0ZhzgpEmTaowtNBgMdfYUG41GCUoHp1IURWnpSgjRkoxGIwaDgeXLl6PX65k0aVKt+dIxMTHVj9uyJ0rbJYEohBCV5B2iEEJUkkAUQohKEohCCFFJAlEIISpJIAohRCUJRCGEqCSBKIQQlf4fKnhjX1w1rNIAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ "<Figure size 360x360 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "sns.displot(para_dict, x=r'$\\log_{10}\\beta$',y=r'$\\alpha$',kind='kde')\n",
+ "plt.xlim([0,14])\n",
+ "plt.xticks(fontsize=19)\n",
+ "plt.yticks(fontsize=19)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Monte-Carlo Median Parameter Tracking"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "m=5000\n",
+ "answer_log = np.load('../data/n{0}'.format(m)+'.npy',allow_pickle=True)[2]\n",
+ "answer_opt = np.load('../data/n{0}'.format(m)+'.npy',allow_pickle=True)[0]\n",
+ "path='../data/n{}'.format(m)+'.npy'\n",
+ "pop2_a= list(np.load(path,allow_pickle=True)[0])\n",
+ "pop2_b= list(np.load(path,allow_pickle=True)[1])\n",
+ "pop2=[[pop2_a[i],pop2_b[i]]for i in range(len(pop2_a)) if pop2_b[i]<5*10**12]\n",
+ "answer_opt_ex = [pop2[0] for a in pop2]\n",
+ "mctracker_log=[]\n",
+ "mctracker_opt=[]\n",
+ "mctracker_opt_ex=[]\n",
+ "a_log=[answer_log[0]]\n",
+ "a_opt=[answer_opt[0]]\n",
+ "a_opt_ex=[answer_opt_ex[0]]\n",
+ "n=len(pop2)\n",
+ "for i in range(0,n):\n",
+ " a_log.append(answer_log[i])\n",
+ " a_opt.append(answer_opt[i])\n",
+ " a_opt_ex.append(answer_opt_ex[i])\n",
+ " mctracker_log.append(np.median(a_log))\n",
+ " mctracker_opt.append(np.median(a_opt))\n",
+ " mctracker_opt_ex.append(np.median(a_opt_ex))\n",
+ "np.save('../data/mctracker_log_{0}.npy'.format(m), mctracker_log)\n",
+ "np.save('../data/mctracker_opt_{0}.npy'.format(m), mctracker_opt)\n",
+ "np.save('../data/mctracker_opt_ex_{0}.npy'.format(m), mctracker_opt_ex)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "findfont: Font family ['Times New Roman'] not found. Falling back to DejaVu Sans.\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "m=250000\n",
+ "mctracker_log=np.load('../data/mctracker_log_{0}.npy'.format(m),allow_pickle=True)\n",
+ "mctracker_opt=np.load('../data/mctracker_opt_{0}.npy'.format(m),allow_pickle=True)\n",
+ "mctracker_opt_ex=np.load('../data/mctracker_opt_ex_{0}.npy'.format(m),allow_pickle=True)\n",
+ "n=len(mctracker_opt_ex)\n",
+ "plt.plot(np.linspace(0,n,n),mctracker_log,'r',label=r'log\\_lsq')\n",
+ "plt.plot(np.linspace(0,n,n),mctracker_opt,'b',label=r'scipy\\_opt')\n",
+ "plt.plot(np.linspace(0,n,n),mctracker_opt_ex,'g',label=r'scipy\\_opt*')\n",
+ "plt.ylabel(r'$\\alpha$')\n",
+ "plt.xlabel(r'$N$')\n",
+ "plt.ylim([2.5,3.1])\n",
+ "plt.legend()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Population Fits"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Log_lsq-Plot"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "medians: alpha: 2.7851626697096927 scaling factor 1818.3810098241033\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from MonteCarlo import test_func, ninetyfive_p, five_p\n",
+ "m=5000\n",
+ "answer = np.load('../data/n{0}'.format(m)+'.npy',allow_pickle=True)\n",
+ "a,b = answer[2],answer[3]\n",
+ "plt.figure() #plot of the source mass population of a random template sample\n",
+ "with np.errstate(divide='ignore'):\n",
+ " #print parameters\n",
+ " print(\"medians:\",\"alpha:\",np.median(a),\"scaling factor\",np.median(b))\n",
+ " #plot population histogram bin markers\n",
+ " for i in range(m):\n",
+ " plt.plot(answer[4][i][:-1],answer[5][i],\",\",alpha=0.3,color='grey')\n",
+ " plt.yscale(\"log\")\n",
+ " #plot fit and credible fit interval\n",
+ " x = np.linspace(2,100,100)\n",
+ " plt.plot(x, test_func(x,np.median(a),np.median(b)) ,'r',alpha=0.9,label=\"median\")\n",
+ " plt.plot(x,test_func(x,ninetyfive_p(a),b[np.argmin(np.abs(a-ninetyfive_p(a)))]),'b--',alpha=0.9,label='95\\% credible interval')\n",
+ " plt.plot(x,test_func(x,five_p(a),b[np.argmin(np.abs(a-five_p(a)))]),'b:',alpha=0.9,label='5\\% credible interval')\n",
+ " #plot adjustments\n",
+ " plt.gcf().subplots_adjust(left=0.2)\n",
+ " plt.xlabel(r'$m_1[M_{\\odot}]$',fontsize=30)\n",
+ " plt.ylabel(r'$\\frac{d\\mathcal{R}}{dm_1}[Gpc^{-3}yr^{-1}M_{\\odot}^{-1}]$',fontsize=30)\n",
+ " plt.yscale(\"log\")\n",
+ " plt.xscale(\"log\")\n",
+ " plt.ylim([10**-4,5*10**1])\n",
+ " plt.xlim([5,130])\n",
+ " plt.legend()\n",
+ " plt.gcf().subplots_adjust(bottom=0.2)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Opt.curve_fit-Plot"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "medians: alpha: 2.8460134495255023 scaling factor 3077.2101579744403\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "m=5000\n",
+ "answer = np.load('../data/n{0}'.format(m)+'.npy',allow_pickle=True)\n",
+ "a,b = answer[0],answer[1]\n",
+ "plt.figure() #plot of the source mass population of a random template sample\n",
+ "with np.errstate(divide='ignore'):\n",
+ " #print parameters\n",
+ " print(\"medians:\",\"alpha:\",np.median(a),\"scaling factor\",np.median(b))\n",
+ " #plot population histogram bin markers\n",
+ " for i in range(m):\n",
+ " plt.plot(answer[4][i][:-1],answer[5][i],\",\",alpha=0.3,color='grey')\n",
+ " plt.yscale(\"log\")\n",
+ " #plot fit and credible fit interval\n",
+ " x = np.linspace(2,100,100)\n",
+ " plt.plot(x, test_func(x,np.median(a),np.median(b)) ,'r',alpha=0.9,label=\"median\")\n",
+ " plt.plot(x,test_func(x,ninetyfive_p(a),b[np.argmin(np.abs(a-ninetyfive_p(a)))]),'b--',alpha=0.9,label='95\\% credible interval')\n",
+ " plt.plot(x,test_func(x,five_p(a),b[np.argmin(np.abs(a-five_p(a)))]),'b:',alpha=0.9,label='5\\% credible interval')\n",
+ " #plot adjustments\n",
+ " plt.gcf().subplots_adjust(left=0.2)\n",
+ " plt.xlabel(r'$m_1[M_{\\odot}]$',fontsize=30)\n",
+ " plt.ylabel(r'$\\frac{d\\mathcal{R}}{dm_1}[Gpc^{-3}yr^{-1}M_{\\odot}^{-1}]$',fontsize=30)\n",
+ " plt.yscale(\"log\")\n",
+ " plt.xscale(\"log\")\n",
+ " plt.ylim([10**-4,5*10**1])\n",
+ " plt.xlim([5,130])\n",
+ " plt.legend()\n",
+ " plt.gcf().subplots_adjust(bottom=0.2)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Rate Distribution"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "30.185740694558774 + 42.41869674046775 - 13.715971539579481\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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bN27Itm1du3ZN77zzjj+wyjRN5fN5RTZMcL/xNQAAnSSQwVXrZ6vKZDKybVu5XE79/f3+lJJvvvmmTpw4oe9+97uNHhIAgB2roeAdHh7W2NiYvvvd7+rkyZOS1lYHKoxwXu/FF1/U1NSUhoeHGzkkAAA7WsM93uHhYeXzeS0uLmrv3r2bvu/ChQuNHgoAgB1vy8eJFhcXdeXKFX3xxRdFZSdPntSbb76pK1euSFq7b7tV6AIAgDWb9nivXbumd99915+z+MSJExoeHtbg4KD6+vq0e/duXbx4UZL0s5/9LLQGAwCwk20avLZtF/V0f/e73+mXv/ylpqeni0Ymj4yMELwAAFRp00vNG+c4PnXqlOLxeMnjQOvXswUAAFvbNHgLszddv37dLys3QUW5xQkAAEB5mwZvKpXS2NiYxsbGtLi4KOmvk1/k83n97d/+rT766KNNFy4AAAClNr3HG4lENDw8XPa520gkosnJybKXngEAwObqXp2ov79ftm3r9ddf109/+tOS7et7ygAAYE1DywIWVgB65ZVXSrYNDw9ramqqkd0DWl1Z0cOv7hX9eZLPN7tZAFC3hmau6urqUn9/v/r7+8tuf/vtt3XlyhUeN0LdVh4/1n17rqjsez/+kZ7lFgeAHaqhHu/du3e33B6JRJTL5Ro5BAAAbaWh4I3FYvroo4+2fE9XV1cjhwAAoK00FLzHjx/X3bt3dfLkyaJZrtZbXl5u5BAAALSVhlcnOn/+vIaGhvSP//iP2rdvnxKJhD/rVSaT4TlfAADWaTh4pbUl/2zb1sTEhD+S2TAMnT592l+nFwAABBS8kpRIJPzebT6fZ2INAADKCCR4r1+/Ltd1FYvFmM0KAIAtNBS8t2/f1ltvvVW0UEJXV5eSyaSGh4f14osvNtxABOdJPq+nX39TVLby5EmTWgMAnamh4J2amtLly5fV19enfD6vbDarP/7xj7p+/bpee+01TU5Olp3VCs3x9OtvdO+zz4vK9iTKT34CANgeDT1OtG/fPvX19Ulamyyjv79fZ86c0Y0bN3Tp0iWdPXtWd+7cCaShAAC0g4aCdyuJREJ/+MMfmK8ZAIB1GgreVCq15cxVhmHINM1GDgEAQFtpeHWiTCajw4cP64MPPtCNGzf04MGDovcwcxUAAH/V0OCq8fFxpVIp3b17V7du3ZJlWerq6pJpmurr69Pi4qI+/vjjojqXLl1iUg0AQMdqKHhN09SpU6f81/l8Xrdu3ZJt27JtW7dv39brr78u0zT9CTauXr1aVfBalqVoNCpprWedTqcbrmNZliTJcRxJa2sGG4bR0DEBAKhFQ8GbSqU0NjamH/zgBxoYGFAkEimZwWp9EE9NTVW1WlEhIJPJpKS1EBwZGdHo6GjddSzLUiqVKnr/W2+9penp6bqPCQBArRru8Q4PD0taC6rdu3cXbd8YxJ7n6c0336y4X8uy/EAsHMe27brrrJ/go6DwS4Nt20okEnUdE82xurKih1/dKyp75vldepYZ0wDsAFUPrqr0PG41o5cNw/CDejOe5/mXgjfW3SwIK9Up9F43BrBpmnJdt65jonlWHj/Wvc8+L/qzcUYuAGhVVQfvrVu3dODAAZ08eVJXrlwpGb08NzdX1X6OHj265XbXdYvuuxZEo9Gy4VhNnVgspunp6ZL3uK6reDxe1zEBAKhH1Zeajx8/Ls/zdPHiRe3evVvZbFbpdFp79+6VJI2NjekPf/hDww3K5XL+AKf1IpHIpo8mVVOnsEZwQSaTkWmaisVism275mNuJpvN1vT+ML2w63ktLS0Vle1+9DCwsqWlpUD3V0vZM/fv68+LrpphYWGhKcdtBZx7Z+rkcw9C1cGbz+d19+5dffrpp2VXH/I8Tz/96U+VSCTU39+vgwcPltzzbRWFXyAuX74c+L7j8bi6u7sD328QHn51T097e4vKurufU28AZUtLS+rt7Q1sf7WW7dmzRy9+/0DJOW+3hYUFHTp0KPTjtgLOnXPvFI8ePQq0U1V18I6Njelf/uVftgzTbDarbDariYkJSWv3SI8fP67333+/pkblcrmSsnw+r56enkDqjI2N6fz580WXl+s5JgAAtao6eMuNWl7PMAx98cUXchxHtm3r97//vU6fPq2f/exnNTUoHo+XHYWcy+VKLhfXU2diYkLpdLpoMFg9xwQAoB5VD64qN/hovcI90lgspnQ6rRs3btTVNS/M77wxCD3P8x9LqreOZVlKJpNFoWvbdl3HBACgHlUHbz6f33J7uceETp06pUuXLtXcqHQ6rfHxcf+14zhFAei6roaGhoqCslId27YVj8f90PU8r+hRoUr1AQAIQtWXmnfv3q3FxUV/FPNGhXV51zNNU3fv3q25UalUSpZlybZteZ4n13WLZpDyPE9zc3PK5XJ+T3yrOq7ranBwsOyx5ufnqzomAABBqDp4T5w4obGxsZJFD7bL+ukdN4rFYn5gVlPHNE396U9/auiYAAAEoepLzf39/bp7965u3LhR0wEWFxdrbhQAAO2qpvV4f/WrX+mdd96pOnzz+bxWV1frahgAAO2opuCNxWL68MMP9c477+hf//VfS6aN3GhsbIzHcQAAWKfm1YkK90E/+OADf6m9o0ePFs1Utbi4qLGxMc3Nzenf/u3fgm0xAAA7WF3LAqZSKcXjcb377ruampry17Jdb+/evZqcnGy4gQAAtJO61+ONxWK6efOmv8D94uKi8vm8TNNUIpHQqVOngmwnAABtoWLwPnjwYMupItcvdF+LSvsFAKAdVRxc9fOf/3xbDrxd+wUAoJVVDN7tehyIx4wAAJ2o4qXmeDyu9957L9CDrq6uKh6PB7pPAAB2gorBy3zFAAAEp6YJNAAAQGPqfpwIaCWrKyt6+NW9orJnnt+lZyORJrUIAMojeNEWVh4/1n17rqjsez/+EcELoOU0FLx37tyRbdtaXl6W53laXFxUJBJRNBrVvn37ZJqmfvKTnwTVVgAAdryag/fOnTv67W9/qzt37qivr0979+5VT0+P4vG4vyi967ryPE9//OMfNTU1pa6uLiWTSf3sZz8L/AQAANhJqg5e13U1Njamffv26e2331ZfX9+m7+3v7y96nc/nNTMzo/fee09HjhwhgAEAHauq4J2bm5Nt2/r1r3+tSB33zCKRiI4fP67jx49rbm5OH330kd5///2a9wMAwE5X8XEi13UlSe+//35dobtRf3+/3n//fV25cqXhfQEAsNNU7PGapinTNAM/MJebAQCdiAk0AAAI0bYEbz6f15tvvqkHDx5sx+4BANixtiV4I5GI0um03n333e3YPQAAO1ZNwfvBBx/o8OHDevPNN/XJJ59s+d5kMqkDBw7o+vXrDTUQAIB2UnXwzs3NybIs5XI5ua6r3/zmN/rpT3+6ZZ0jR47IsqyGGwkAQLuoOngLM1BduHBB//7v/64vvvhChw8f3nKt3nPnzimbzQbRTgAA2kLVwXv79m0lEomiuZfPnDmjeDxecjn50qVLOnz4sG7fvq1oNBpcawEA2OGqDl7XdZVMJkvKT5065V9O/v3vf6/Dhw9rbGxMuVxOfX19unTpUnCt3Uau68q27WY3AwDQ5mpaJGGz3uvu3bt1+PBheZ6n1dVVmaap4eFhHT16tO6GWZblH891XaXT6UDqOI6j8fFxXbhwoaT87Nmz8jxPhmEoHo9reHhYsVis7nNAc7FGL4BWVFPwbjaD1cGDB3Xt2jUZhqHh4WEdP368oUYVetCFHrbruhoZGdHo6GjddRzH0dWrV9XT06PFxcWy+5ifn/eDFzsfa/QCaEU1BW9XV1fZ8qNHj+rixYv67LPPtHv37oYbZVmWpqen/demaVa8DFypTiwWUywWk+M4mpmZ2XQ/hC4AYDvV9BzvL37xC33wwQe6cuWK5ubm/JmpTNPUp59+Gkjoep4nx3FKyg3D2DR866kDAEAzVN3jNQxDjuPIcRxZluX3fk3TVCKRUDKZ1CuvvNJwg1zXLdvrjEajchxHiUQikDrlrA9px3Gquq8MAEAtqg7eeDyudDqteDwu13WVzWb9P1NTU/5zvolEQidOnNDrr79eV4NyuVzZQVyRSETLy8uB1dmoMIiqcB/bNE0NDg5qcnKyuoYDAFCFqoM3mUwqn88rEomor69PfX19RYOobNtWJpNRJpPR7OysotGoUqmUTp8+Hcgl6O22ceCYaZpyXVeO49Q0srmVJwx5YdfzWlpaKirb/ehhYGVLS0uB7m87yp65f19/XnQVpIWFhUD3t5Nw7p2pk889CFUH78DAgMbGxoom0FgvkUgokUhodHTUvxx98eJFOY5T87O8uVyupCyfz6unpyfQOpWYpqlsNltT8MbjcXV3d9d9zO308Kt7etrbW1TW3f2cegMoW1paUm9vb2D7266yPXv26MXvH1BQFhYWdOjQocD2t5Nw7px7p3j06FGgnaqqB1dFIhGZpqmPPvqo4nJ/sVhMo6Oj+uKLL2p+tCgej8vzvJLyXC63aQDWU2c913X10ksvld3GzFsAgCDVNKr51KlT+o//+A/9/Oc/r7pOrZNoGIYh0zRLgtTzvE0HSdVTZ71oNFr2GeFae7sAAFRS83q8Fy5c0OnTp7ejLb50Oq3x8XH/9caRya7ramhoqChoK9UpKHdJutyIaMuyNDAwsOmkIQAA1KOmCTQKGpkKshqpVEqWZcm2bXmeJ9d1i3qknudpbm5OuVzOD81KdVzXVSaT0czMjBzH0cjIiGKxmFKplF9/YmJChmH4gb7VTFkAANSjYvC6rqvvfve7gY9MnpubU39//6bbC4FYTiwW0/z8fE11TNNUOp3e8tlcntsFAGy3ipeaTdPU1NSU5ubmKr21amNjY1zCBQB0pKru8Z46dUqu6+q9997TnTt36jrQgwcP9Pvf/17vvfee/vmf/1l79+6taz8AAOxkVd/jPX78uAYGBjQ+Pq5f/vKXisfjOnLkiEzTVCQSKQrSBw8eaHl5Wa7ranFxUTMzM8rlcnr77bf18ccfb8d5AACwI9Q0uCoSiWh4eFiSdPv2bV29elW//e1vlc/n5bquP3+zYRiKRqM6cOCADh48qA8//JBLy2gJrNELoNnqGtUsyZ82EthJWKMXQLPV/BwvAACoX9093vWuX78u13XV19engwcP7ohFEQAAaIaGgvf27dt66623imaQ6urqUjKZ1PDwsF588cWGGwgAQDtpKHinpqZ0+fJl9fX1KZ/PK5vN6o9//KOuX7+u1157TZOTk3rllVeCaisAADteQ/d49+3b5w+wikQi6u/v15kzZ3Tjxg1dunRJZ8+erfu5XwAA2tG2Da5KJBL6wx/+oKmpqe06BAAAO05DwZtKpfTRRx9tur2wXB8AAFjTUPAWVvw5fPiwPvjgA924cUMPHjwoes/y8nIjhwAAoK00NLhqfHxcqVRKd+/e1a1bt2RZlrq6umSapvr6+rS4uFgyReSlS5d08uTJRg6LKjzJ5/X062+KylaePGlSawAABQ0Fr2maOnXqlP86n8/r1q1bsm1btm3r9u3bev3112WaphKJhBKJhK5evUrwhuDp19/o3mefF5XtSWy+DCMAIBwNBW8qldLY2Jh+8IMfaGBgQJFIxA9YqTSIp6am/PmcAQDoRA33eAuLJriuWzJj1cYg9jxPb775ZiOHBABgRwvscaJqRi8bhuEHNQAAnSiQuZprcfTo0bAPCWyJpQIBhCn04AVaDUsFAggTywICABAighcAgBARvAAAhIjgBQAgRAQvAAAhIngBAAgRwQsAQIgIXgAAQtSyE2hYlqVoNCppbR7odDodSB3HcTQ+Pq4LFy4EckwAAGrRksFrWZYkKZlMSloLwZGREY2OjtZdx3EcXb16VT09PVpcXAzkmAAA1Kplg3d6etp/bZqmbNtuqE4sFlMsFpPjOJqZmQnkmGhfzN8MYLu03D1ez/PkOE5JuWEYmwZhPXWCrI/2s/L4se599nnRn6dff9PsZgFoAy0XvK7ryjCMkvJoNFo2HOutE2R9AACq1XLBm8vl/AFO60UiES0vLwdWJ8j6AABUqyXv8e5k2Wy22U2QJL2w63ktLS0Vle1+9HBby5aWlrb9GM0se+b+ff150dVGCwsLJWWdgnPvTJ187kFoyeDN5XIlZfl8Xj09PYHWCbJ+QTweV3d3d011tsPDr+7paW9vUVl393Pq3aaypaUl9fb2busxml22Z88evfj9A0VlCwsLOnTokDoR5865d4pHjx4F2qlquUvN8XhcnueVlOdyOcViscDqBFkfAIBqtVyP1zAMmaYpz/OKBjx5nqdEIhFYnSDrozOUe8Tov/N4EYAatVyPV5LS6bTGx8f9147jFAWg67oaGhoq6qVWqlNQ7pJyLfXRuco9YvTMfz5tdrMA7DAt1+OVpFQqJcuyZNu2PM+T67pFM0h5nqe5uTnlcjm/h1qpjuu6ymQympmZkeM4GhkZUSwWUyqVqqo+AABBaMngleQHYjmxWEzz8/M11TFNU+l0esv5l7eqDwBAEFryUjMAAO2K4AUAIEQELwAAISJ4AQAIEcELAECICF4AAEJE8AIAECKCFwCAELXsBBrATrDruedK5m9+5vldepY5nAFsguAFGvGfT3Tvs8+Lir734x8RvAA2xaVmAABCRPACABAighcAgBARvAAAhIjgBQAgRIxqBgK2urLCI0YANkXwAgFbefxY9+25ojIeMQJQwKVmAABCRPACABAighcAgBARvAAAhIjBVUAIGOkMoIDgBULASGcABVxqBgAgRAQvAAAhIngBAAgRwQsAQIgI3v/iuq5s2252M9BBCiOdC3+e5PPNbhKAELTsqGbLshSNRiWthWI6nW64zlbbHcfR2bNn5XmeDMNQPB7X8PCwYrFYUKe0bZ7k83r69TdFZStPnjSpNajWxpHOjHIGOkNLBq9lWZKkZDIpaS0kR0ZGNDo6WnedavY5Pz/vB+9O8vTrb3Tvs8+LyvYk+pvUGgDAVlo2eKenp/3XpmlWvAxcqU61+9xpoQsA2Fla7h6v53lyHKek3DCMTcO3Up169gkAwHZouR6v67ple53RaFSO4yiRSNRcJxqNVrXP9SHsOE5V95WBoDCtJNAZWi54c7mcPwBqvUgkouXl5brqVLPPwiAq0zT9vwcHBzU5OVnnmQC1YVpJoDO0XPA2SyFw1792XVeO49Q0sjmbzQbdtIpe2PW8lpaWisp2P3oYetnS0lJTjtvMsv2H/vfA9lfuPc/cv68/L7pqVQsLC81uQtNw7qhXSwZvLpcrKcvn8+rp6am7Tj37NE1T2Wy2puCNx+Pq7u6u+v1BePjVPT3t7S0q6+5+Tr0hli0tLam3tzf04za7TFJg+yv3nj179ujF7x8oOWYrWFhY0KFDh5rdjKbg3Dvr3B89ehRop6rlBlfF43F5nldSnsvlNg3ASnUqbXddVy+99FLZfZe7RA0AQL1aLngNw5BpmiVB6Xle2YFV1dSptD0ajZZ9RrjW3i4AAJW0XPBKUjqd1vj4uP9642hm13U1NDRUFKSV6my1vdyIZ8uyNDAwUHLvFwjTxmklmVoS2Pla8h5vKpWSZVn+M7iu6xb1SD3P09zcnHK5nB+alepUs31iYkKGYfiBvtVMWUAYGOkMtJ+WDF5pLQg3E4vFND8/X1Odarbz3C4AYLu15KVmAADaVcv2eAGUxwxXwM5G8AI7DPd9gZ2NS80AAISI4AUAIEQELwAAIeIeL9AGGHAF7BwEL9AGyg24+u//1/+pp19/U1RGGAPNR/ACbYrRz0Br4h4vAAAhIngBAAgRl5qBDsIgLKD5CF6gg3DfF2g+ghfocPSCgXARvECH41EkIFwEL4ASXJIGtg+jmgEACBHBCwBAiLjUvMM8yedL7r2tPHnSpNagk2wchPXCruf1JJ/n8jNQI4J3h3n69Te699nnRWV7Ev1Nag06ycb7vktLS9rz//zfBC9QI4IXQN3KPYrU9cy3tPp0paiMEdHAXxG8AOpWbvTznkQ/I6KBLRC8ALYdk3QAf0XwAth2TNIB/BXBC6ApCGN0KoIXQMsgjNEJCF4ALY0wRrsheAHsOIQxdjKCF0BbqDaMyz1nzLPHCFPLBq9lWYpGo5Ik13WVTqcbrtPodgA7S7XPGZcr2yq0X9j1vP94FAGNWrVk8FqWJUlKJpOS1kJwZGREo6OjdddpdDuAzrJVaC8tLelpb68ketWoXcsG7/T0tP/aNE3Ztt1QnUa3NwMLIgCtb7t61fWUEeQ7Q8sFr+d5chynpNwwDNm2rUQiUXOdeDze0PZyxwwDCyIA7a2R0A4jyMuV/WDPf6tqfm5+MdhcywWv67oyDKOkPBqNynGcsiFYqU40Gm1oezXBu7q6Kkl6/PhxxfdW6/F//qee/k3xR/T46dPWLHuuW0//5m9aoy0hlj1ZWQlsf610XlWVPdfdOm0Ju+y/ft5boi3rPPzmGy0v/M+isp5D/0egZc8fjOn/n/8fddX93145rC4vX1QW9C8G21H2+NHav+uFf+cb1bUa1J4CYtu2RkZGdPPmzaLyoaEhmaapM2fO1FznyJEjDW0vd8yN8vm8vvzyy2pPEwCww+zfv1+RAHrsLdfj3am+853vaP/+/Xr22WfV1dXV7OYAAAKyurqqJ0+e6Dvf+U4g+2vJ4M3lciVl+XxePT09dddpdHsl3/rWtwL5TQgA0Hqee+65wPb1rcD2FJB4PC7P80rKc7mcYrFYXXUa3Q4AQFBaLngNw5BpmiVB6HnepoOcKtVpdDsAAEFpueCVpHQ6rfHxcf/1xpHFrutqaGioKCgr1Wl0OwAAQWi5Uc0FlmX5vdCN0zc6jqO33npL09PTMk2zqjpBbAcAoFEtG7wAALSjlrzUDABAuyJ4EQjXdZs+t/V2aedzaxT/bzpbO3/+23luLfkc707TKcsJFlZwKsxrPTw87E+16TiOzp49K8/zZBiG4vG4hoeH2+JxrGrOrV1/BgYHB2XbdsmUqtFoVDdv3my7z91xHI2Pj+vChQsl29p5WdFK5114j9R+3/vNzn07v/cEb4M6ZTlBy7KUSqWKXhcGuBXMz8/7P6TtZqtza+efgb6+Po2Ojvr/uEhr5+e6rv+6HT53x3F09epV9fT0aHFxsWR7uy4rWs15t+v3vtK5S9v4vV9FQ954442SsldffbUJLdk+uVxudWpqqqT8hz/84ers7Ozq6urq6szMTNjNCk2lc2vXn4FcLreazWZLytf/LLTb557NZst+npU+453+M1DuvDvle7/ZZ76d33vu8Tag0nKE7aLwm9zGCUZM0yzq+XSidv4ZMAyj5JJhJpPRwMBAk1rUHJU+43b9GeB7v7lGP3MuNTegniUMd6JYLKbp6emSc3VdV/F43H+9/gfOcZwddY+rks3OrVN+BgpyuVzJ+bbz5y41vuzoTv0Z4Hu/fd97grcBuVyu6N5XQSQS0fLycvgN2kblej6mafrlhb8LE5qYpqnBwUFNTk6G29BtsNW5ddLPgGVZJb3ddv7cCyp9xu38M8D3fnu+91xqRs08z9PFixd1+fJlv8w0zaJZxAqXo8pdjtlp2vncauE4Tslv+fy/6Rx874M7N4K3QY0uJ7gTjY2N6fz58xVHMZqmqWw2G1KrwrX+3DrhZyCTyVS97GU7fu7bvazoTsD3PrjvPcHbgE5cTnBiYkLpdLroN0HXdfXSSy+VfX+5yzE7SaVz65SfgcJjF+u18+e+HsuK8r1fL4jvPcHbgE5bTtCyLCWTyaIvn23bikajZZ9dy2azO/4fnkrn1ik/A7dv3y763KXK/2/aRacvK8r3/q+C+t4TvA3qlOUEbdtWPB73v3ye5/kj/jZ7uHxgYKDkH+udpppz64SfgXKjONvxcy93+VBq/2VFNzvvTvjelzv37f7eszpRANp9OUHXdfXaa6+V3TY/P+//kE5MTMgwDP+3wHb6/1Dp3Nr9Z+C1117T5ORk2X9Q2+Fzd11XmUxGMzMzchxHqVRKsVisZNamdltWdKvzbvfvfTWf+XZ97wleAABCxKVmAABCRPACABAighcAgBARvAAAhIjgBQAgRAQvAAAhYnUiANvK8zxZliXDMPxJBpLJZLObVVbhuc31z3ICQSN4AWyr8fFxnTlzxn/90ksv6ebNmy01u5Ft23IcRzMzM4Quth2XmoEWMjIyomPHjunYsWNlJ2Hfia5du6ZMJuO/Nk2zaIHxVpBIJJROp7V3796SbefOndOxY8f02muvtc1nguaixwu0kOXlZU1PTze7GYHaONWk67qKx+NNbFFtCr31oaGhJrcE7YLgBQLgeZ5mZmaUyWSUzWbL9oxM01RfX59OnDjR8AT6tm1rampK+XxekUhE+XxepmlqeHhYhmHIsizF4/GWWCVmfehOTEz4c+ICnYrgBRo0MTEh13X9y5WDg4OKxWL61a9+JWmth5fL5ZTJZHTt2jVdu3ZNqVSq7LJjlTiOo7Nnz2rv3r06c+ZMUah5nqexsTGZpqmxsTH96U9/CuwcG1UYYHXr1i39+te/bnZzgKYieIEGDA0NyTRNP0QLPd31vc3C36lUSplMRu+++65mZmZqDl7LsjQyMqLz58+XHRVsGIaGh4f16quvttySdIZhKJ1Oy/M8HTt2bNOVjoBOQPACdcpkMlpcXCzqwbmuK0mbXkpNJpP+Itq1qBS6BYZhqL+/X0eOHKlp/7W2xXGcLd+TTCb98Pc8z19CzjAM9fX1aWRkRJOTky3TRiBMBC9Qp2QyWRKC2WxWkrYMVs/zNDAwUPVxHMfRyMiIUqlUVc+/9vT01LT/WtXyuI1t2xocHCy57L3ZwutB4ZEgtDKCFwhQoZe12ajdc+fOKRaL1bRY+LvvvitJGh4erur96XTa72FKa73wqakpua6rt99+W6ZpyrIsf9tmg50KvcbCLxGmadY88UU8HtepU6eKym7fvl1y/ufOnfP/e/0zv5I0ODjo/9LhOI5s29atW7f89xUeVXJdt6775kDoVgEE5o033lh99dVXy267ePHi6jvvvLNl/Y3bZ2dnV/fv37969uzZutv0m9/8xj/+q6++6r9eXV1dzWazqz/84Q/LtmP9+2ZnZzc9r0qy2ezqxYsXV6emplbPnj27OjU1VbZ9d+/eXd2/f3/RtkLZ7Oxs0XvPnj27+sYbb/ivZ2ZmVvfv37+azWYbauMPf/jD1TfeeGP14sWLq7lcrug977zzTkkZUA96vECAHMfxL3O6rqtMJqNbt24pn88rlUrV1NOVpKmpKUlqaIrFffv2+e3J5XJFPcpYLCbP85TJZPxjDA0NKZ/PF71vdna2qBddi1gstuk9b8/z1NPTI0llJ9UoXEFIJBJyXVcHDx70z8XzPL+NsVhMo6OjdT+mVGhjrZ8PUA+CFwhIITiSyaQ/ercwsGh+fr6ufS4uLkra/NK14zgaGxtTLpfzR1QXRjcXwqpwvzebzZbc+y3UKQwKs21b165dK5nEY+Pl36Dkcjk/7DKZjI4ePVq03bbtojAt/HKQzWZ1+vRpv9w0Te7rYsdgykggIIV7jYlEQoZh6NNPP5VhGP4zrPVYH6blxGIxTU5Oanp6Wq7ryjAMTU9P+6N1TdP021BYoGC9wmCwQrhNTEzINM3QJrhYPwjNtm39/d//fdF227bV399f9N5Cb5cRydipCF4gIDMzM0VhUOh5StLY2Fhd+6z2saPCJdlCSG1UCNiNYTU7Oyvprz1q27abEmiFX1rWX1L3PE+u65Y8GlW4ssDsV9ipCF4gAI7jyPO8ksudqVRKpmnK8zxNTEyU1Ks06X4hBAuXgjdTCKPNnt+dnZ31e7/rXbt2TUePHvV7xVJzAm3jJeVCmVT+lwV6u9jJCF4gAIX1ZssNgir0ei9evFhUnslk9NZbb22533Q6LdM0ix632ez40ub3gufm5tTX11dUZtu2XNf1798ahrHlAKpKbWjE8vJyycpA5cJYWjsXghc7GcELBMCyLB0/frzstmQy6Y8ePnbsmGzb1rlz52RZli5fvlxx3+fPn9fc3JxGRkZKesiu62pkZMR/drdccBbu7xYGahXKCrNHrb+cffr06aIl/ArvPXfunE6cOFGxrfU6ePCg8vm8/9pxHFmWVXLpnPu7aAeMagYalMlklEgk9Pbbb2/6nvPnz2twcFCu6/or9FQ7UjgWi2l+fl7nzp3zJ9NYP6lFYdKIu3fvlq1fuL97/vx5nTt3Tj09PXJdV+fPny/pURZGGBfeJ631hLdrVPP64966dcvvVRcegdo42Mp13VAHfwHboWt1dXW12Y0AsGZoaEgXLlwIdJ/nzp3TtWvXdPPmzUD3u50sy9LExERLtXloaEi//vWv636eGSjgUjPQ5lr9nujQ0JCOHTtWVDY2Nlb1FJnATkPwAm1ss+d3W8ni4mLRaPDBwUGdPn26odm6gFbGPV6gTWUyGf/54YsXL8p13ZacEnF4eFiO4+jcuXPK5/MaHh7mHi7aGsELtKlyyxa2okQi0dI9ciBoBC/QQnp6evz7nZcvX2YgTws4d+6c5ubmKk52AlSLUc0AAISIwVUAAISI4AUAIEQELwAAISJ4AQAIEcELAECICF4AAEL0vwBjp/ZDRE/V6gAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from MonteCarlo import confup,confdn\n",
+ "n=250000\n",
+ "ratetracker = np.load('../data/ratetracker.npy',allow_pickle=True)\n",
+ "print(np.median(ratetracker),\"+\",confup(ratetracker),\"-\",confdn(ratetracker))\n",
+ "plt.figure()\n",
+ "plt.hist(ratetracker,bins=350,color='r',alpha=0.5,density=True)\n",
+ "plt.xlim([0,150])\n",
+ "plt.ylabel(r'$p(\\mathcal{R})[Gpc^{3}yr^{1}]$')\n",
+ "plt.xlabel(r'$\\mathcal{R}[Gpc^{-3}yr^{-1}]$')\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## The Detection Fraction"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from Bayes import xi\n",
+ "plt.figure()\n",
+ "x=np.linspace(1,7,100)\n",
+ "y=[xi(a) for a in x]\n",
+ "plt.plot(x,y)\n",
+ "plt.xlabel(r'$\\alpha$')\n",
+ "plt.ylabel(r'$\\xi(\\alpha)$')\n",
+ "plt.yscale(\"log\")\n",
+ "plt.gcf().subplots_adjust(left=0.15)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Single Event Likelihood"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "eventname = GW190909_114149\n",
+ "peak alpha = 3.32\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from Bayes import likelihood\n",
+ "#Specify cut-off masses and prior on alpha\n",
+ "U_min=2\n",
+ "U_max=100\n",
+ "a_min=-4\n",
+ "a_max=12\n",
+ "#specify waveform-model and event\n",
+ "app = app1\n",
+ "event = eventnames[app][5]\n",
+ "\n",
+ "\n",
+ "plt.figure()\n",
+ "x = np.linspace(a_min,a_max,200)\n",
+ "y = np.array([likelihood(app,alpha,event,U_min,U_max) for alpha in x])\n",
+ "amax = r'$\\hat{\\alpha}=$'+str(np.round(x[np.argmax(y)],2))\n",
+ "plt.plot(x,y,label=amax)\n",
+ "string = r'$\\mathcal{L}'+r'({0}|\\alpha)$'.format(event.replace(\"_\",\"\\_\"))\n",
+ "plt.xlabel(r'$\\alpha$')\n",
+ "plt.ylabel(r'$p(\\alpha|d_{ev})$')\n",
+ "print('eventname =',event)\n",
+ "print('peak alpha =',np.round(x[np.argmax(y)],2))\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Colored Single Event Probability Distributions"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 2 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import scipy.integrate as integrate\n",
+ "from matplotlib.cm import coolwarm\n",
+ "U_min = 2\n",
+ "U_max = 100\n",
+ "amin=-4\n",
+ "amax=12\n",
+ "app = app1\n",
+ "\n",
+ "x = np.linspace(amin,amax,300)\n",
+ "massmedians = [np.median(postdict[app]['mass_1_source'][ev]) for ev in edict[app]]\n",
+ "m,n = max(massmedians),min(massmedians)\n",
+ "plt.figure()\n",
+ "with np.errstate(divide='ignore'):\n",
+ " for ev in edict[app]:\n",
+ " y = np.array([likelihood(app,alpha,ev,U_min,U_max) for alpha in x])\n",
+ " f=y/integrate.trapz(y,x) #normalize likelihood\n",
+ " colorgradient = np.median(postdict[app]['mass_1_source'][ev])/m\n",
+ " b = plt.plot(x,f,label=ev, color = coolwarm(colorgradient, alpha=None, bytes=False))\n",
+ " #plt.yscale(\"log\")\n",
+ "sm = plt.cm.ScalarMappable(cmap=coolwarm, norm=plt.Normalize(vmin=n, vmax=m))\n",
+ "cbar = plt.colorbar(sm)\n",
+ "cbar.set_label('Posterior event source\\_mass\\_1')\n",
+ "plt.ylabel(r'$p(\\alpha|\\{d_{ev}\\})$')\n",
+ "plt.xlabel(r'$\\alpha$')\n",
+ "plt.xlim([1.5,8])\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Total Model Likelihood"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 2 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "l=np.load('../data/l_contour.npy')\n",
+ "l_tf_log=[[np.log(l[j][k][0]) if l[j][k][0]!=0 else 0 for k in range(30)]for j in range(30)]\n",
+ "x=np.linspace(2,10,30)\n",
+ "y=np.linspace(75,150,30)\n",
+ "xx, yy = np.meshgrid(x, y, sparse=True)\n",
+ "g=l_tf_log\n",
+ "h = plt.contourf(x,y,g,interpolation='none',cmap=coolwarm)\n",
+ "amin,amax=min(min(i)for i in g),max(max(i) for i in g)\n",
+ "sm = plt.cm.ScalarMappable(cmap=coolwarm)\n",
+ "cbar = plt.colorbar(sm)\n",
+ "cbar.set_label(r'$\\mathcal{L}/\\mathcal{L}_{max}$')\n",
+ "plt.ylim([80,100])\n",
+ "plt.xlabel(r'$m_{min}$')\n",
+ "plt.ylabel(r'$m_{max}$')\n",
+ "plt.gcf().subplots_adjust(left=0.15)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Power Law Parameter Probability"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [
+ {
+ "ename": "NameError",
+ "evalue": "name 'integrate' is not defined",
+ "output_type": "error",
+ "traceback": [
+ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+ "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
+ "\u001b[0;32m<ipython-input-5-20cbc2a98526>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 10\u001b[0m \u001b[0;32mwith\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0merrstate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdivide\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'ignore'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 11\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfigure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 12\u001b[0;31m \u001b[0mc1\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mintegrate\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtrapz\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mapp1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0medict\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mapp1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 13\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mapp1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0medict\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mapp1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0mc1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mlabel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'IMRPhenomPv2'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 14\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mxlabel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34mr'$\\alpha$'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+ "\u001b[0;31mNameError\u001b[0m: name 'integrate' is not defined"
+ ]
+ },
+ {
+ "data": {
+ "text/plain": [
+ "<Figure size 486x432 with 0 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import caffeine\n",
+ "from Bayes import tot_int_like, peak_alpha\n",
+ "U_min,U_max=[9.172413793103448, 90.51724137931035] #Optimal cut-off masses determined from peaking total model likelihood\n",
+ "a_min=-4\n",
+ "a_max=20\n",
+ "app=app1\n",
+ "x = np.linspace(a_min,a_max,500)\n",
+ "def f(app,_dict,alph):\n",
+ " return tot_int_like(app,_dict,alph,U_min,U_max)\n",
+ "with np.errstate(divide='ignore'):\n",
+ " plt.figure()\n",
+ " c1 = integrate.trapz(f(app1,edict[app1],x),x)\n",
+ " plt.plot(x,f(app1,edict[app1],x)/c1,label='IMRPhenomPv2')\n",
+ " plt.xlabel(r'$\\alpha$')\n",
+ " plt.ylabel(r'$p(\\{\\alpha\\}|\\vec{d})$')\n",
+ " print(peak_alpha(app1,edict[app1],x,U_min,U_max))\n",
+ " plt.legend()\n",
+ " plt.xlim([4,7.5])\n",
+ " plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Exclusion Analysis"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### High Mass Exclusion"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from Dictionaries import edict_ex_h\n",
+ "\n",
+ "#Calculate the sample yourself (warning: may take several hours for >100 data points)\n",
+ "\n",
+ "#a_p=np.linspace(-4,12,50)\n",
+ "#app=app1\n",
+ "#x=np.linspace(6,10,15)\n",
+ "#y=np.linspace(60,85,15)\n",
+ "#l = [[[max_tot_l(app,edict_ex_h[app],a_p,xx,yy)] for xx in x] for yy in y]\n",
+ "#l_tf=[[l[j][k][0] for k in range(15)]for j in range(15)]\n",
+ "#l_tf_log=[[np.log(l[j][k][0]) if l[j][k][0]!=0 else 0 for k in range(15)]for j in range(15)]\n",
+ "#np.save('l_tf_log.npy', answer) "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "x=np.linspace(6,10,15)\n",
+ "y=np.linspace(60,85,15)\n",
+ "l_tf_log=np.load('../data/l_tf_log_ex_high.npy')\n",
+ "xx, yy = np.meshgrid(x, y, sparse=True)\n",
+ "h = plt.contourf(x,y,l_tf_log,cmap=coolwarm)\n",
+ "plt.xlabel(r'$m_{min}$',fontsize=30)\n",
+ "plt.ylabel(r'$m_{max}$',fontsize=30)\n",
+ "sm = plt.cm.ScalarMappable(cmap=coolwarm)\n",
+ "cbar = plt.colorbar(sm)\n",
+ "cbar.set_label(r'$\\mathcal{L}/\\mathcal{L}_{max}$',fontsize=27)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Low Mass Exclusion"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from Dictionaries import edict_ex_l\n",
+ "#Calculate the sample yourself (warning: may take several hours for >100 data points)\n",
+ "\n",
+ "#a_p=np.linspace(-4,12,50)\n",
+ "#app=app1\n",
+ "#x=np.linspace(6,12,15)\n",
+ "#y=np.linspace(80,100,15)\n",
+ "#l = [[[max_tot_l(app,edict_ex_l[app],a_p,xx,yy)] for xx in x] for yy in y]\n",
+ "#l_tf=[[l[j][k][0] for k in range(30)]for j in range(30)]\n",
+ "#l_tf_log=[[np.log(l[j][k][0]) if l[j][k][0]!=0 else 0 for k in range(15)]for j in range(15)]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "l_tf_log=np.load('../data/l_tf_log_ex_low.npy')\n",
+ "x=np.linspace(6,12,15)\n",
+ "y=np.linspace(80,100,15)\n",
+ "xx, yy = np.meshgrid(x, y, sparse=True)\n",
+ "h = plt.contourf(x,y,l_tf_log,cmap=coolwarm)\n",
+ "plt.xlabel(r'$m_{min}$',fontsize=30)\n",
+ "plt.ylabel(r'$m_{max}$',fontsize=30)\n",
+ "sm = plt.cm.ScalarMappable(cmap=coolwarm)\n",
+ "cbar = plt.colorbar(sm)\n",
+ "cbar.set_label(r'$\\mathcal{L}/\\mathcal{L}_{max}$',fontsize=27)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Waveform Model Analysis"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "U_min=2\n",
+ "U_max=100\n",
+ "a_min=-4\n",
+ "a_max=12\n",
+ "x = np.linspace(a_min,a_max,700)\n",
+ "x1 = np.linspace(a_min,a_max,600)#different marker intervals to increase visibility\n",
+ "dict_intersect = {ev: item for ev, item in edict[app1].items() if ev in edict[app1] and ev in edict[app2] and ev in edict[app3]}\n",
+ "def f(app,_dict,alph):\n",
+ " return tot_int_like(app,_dict,alph,U_min,U_max)\n",
+ "with np.errstate(divide='ignore'):\n",
+ " plt.figure()\n",
+ " c1 = integrate.trapz(f(app1,dict_intersect,x),x)\n",
+ " c2 = integrate.trapz(f(app2,dict_intersect,x),x)\n",
+ " c3 = integrate.trapz(f(app3,dict_intersect,x1),x1)\n",
+ " plt.plot(x,f(app1,dict_intersect,x)/c1,'b',label='IMRPhenomPv2')\n",
+ " plt.plot(x,f(app2,dict_intersect,x)/c2,'r^',label='SEOBNRv4PHM',markersize=3)\n",
+ " plt.plot(x1,f(app3,dict_intersect,x1)/c3,'gs',label='NRSur7dq4',markersize=2)\n",
+ " \n",
+ " plt.xlabel(r'$\\alpha$')\n",
+ " plt.ylabel(r'$p(\\alpha|\\{\\vec{d}\\})$')\n",
+ " print(peak_alpha(app1,dict_intersect,x,U_min,U_max),peak_alpha(app2,dict_intersect,x,U_min,U_max),peak_alpha(app3,dict_intersect,x,U_min,U_max))\n",
+ " plt.legend()\n",
+ " plt.xlim([1.5,5])\n",
+ " plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Alpha Estimate Comparison"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import json\n",
+ "with open('../data/data_o1o2o3_mass_b_iid_mag_two_comp_iid_tilt_powerlaw_redshift_result.json') as json_file: \n",
+ " data = json.load(json_file) \n",
+ "answer = np.load('../data/n50000.npy',allow_pickle=True)[2]\n",
+ "x=np.linspace(0,6,300)\n",
+ "U_min=5.967\n",
+ "U_max=78.470\n",
+ "\n",
+ "plt.figure()\n",
+ "#plotting\n",
+ "plt.hist(data['posterior']['content']['alpha'], bins=50,color='b',alpha=0.5,density=True,label='LVC estimate')\n",
+ "plt.hist(answer,bins=100,color='r',alpha=0.5,density=True,label='MC estimate')\n",
+ "c1 = integrate.trapz(tot_int_like(app1,edict_ex_h[app1],x,2,U_max),x)\n",
+ "plt.plot(x,tot_int_like(app1,edict_ex_h[app1],x,2,U_max)/c1,label=r'Bayes, $m_{min}=2M_{\\odot}$')\n",
+ "c2 = integrate.trapz(tot_int_like(app1,edict_ex_h[app1],x,3,U_max),x)\n",
+ "plt.plot(x,tot_int_like(app1,edict_ex_h[app1],x,3,U_max)/c2,label=r'Bayes, $m_{min}=3M_{\\odot}$')\n",
+ "c = integrate.trapz(tot_int_like(app1,edict_ex_h[app1],x,U_min,U_max),x)\n",
+ "plt.plot(x,tot_int_like(app1,edict_ex_h[app1],x,U_min,U_max)/c,label=r'Bayes, $m_{min}=6M_{\\odot}$')\n",
+ "#plotstyle\n",
+ "plt.legend(fontsize=15)\n",
+ "plt.xlim([0,6])\n",
+ "plt.xlabel(r'$\\alpha$')\n",
+ "plt.ylabel(r'$p(\\alpha)$') \n",
+ "plt.show()\n",
+ "print('LIGO:',np.median(data['posterior']['content']['alpha']),'+',confup(data['posterior']['content']['alpha']),'-',confdn(data['posterior']['content']['alpha']))\n",
+ "print('MC:',np.median(answer[0]))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Rate Estimate Comparison"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "with open('../data/data_o1o2o3_mass_b_iid_mag_two_comp_iid_tilt_powerlaw_redshift_result.json') as json_file: \n",
+ " data = json.load(json_file)\n",
+ "n=250000\n",
+ "LIGO_rate=data['posterior']['content']['rate']\n",
+ "ratetracker = np.load('../data/ratetracker.npy',allow_pickle=True)\n",
+ "print('MC Estimate:',np.median(ratetracker),\"+\",confup(ratetracker),\"-\",confdn(ratetracker),'Gpc^-3yr^-1')\n",
+ "print('LVC Estimate:',np.median(LIGO_rate),\"+\",confup(LIGO_rate),\"-\",confdn(LIGO_rate),'Gpc^-3yr^-1')\n",
+ "plt.figure()\n",
+ "plt.hist(ratetracker,bins=350,color='b',alpha=0.5,density=True,label='MC estimate')\n",
+ "plt.hist(LIGO_rate,bins=100,color='r',alpha=0.5,density=True,label='LVC estimate')\n",
+ "plt.xlim([0,150])\n",
+ "plt.ylabel(r'$p(\\mathcal{R})[Gpc^{3}yr^{1}]$')\n",
+ "plt.xlabel(r'$\\mathcal{R}[Gpc^{-3}yr^{-1}]$')\n",
+ "plt.legend()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.6.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/notebooks/Bayes.py b/notebooks/Bayes.py
new file mode 100644
index 0000000000000000000000000000000000000000..37ba08daa2b930ca8aa5c34959a6a555e024f232
--- /dev/null
+++ b/notebooks/Bayes.py
@@ -0,0 +1,78 @@
+#import all necessary packages
+import numpy as np
+import matplotlib
+import matplotlib.pyplot as plt
+#matplotlib.use('agg')
+plt.style.use("MATPLOTLIB_RCPARAMS.sty")
+matplotlib.rcParams['text.latex.preamble'] = r'\usepackage{amsmath}'
+import h5py
+import scipy
+from scipy import interpolate
+import scipy.integrate as integrate
+import pesummary
+from pesummary.gw.file.read import read
+from numpy import asarray
+from numpy import save
+from numpy import load
+import pickle
+from matplotlib.cm import coolwarm
+import Dictionaries
+from Dictionaries import app1, app2, app3, priordict, postdict, zdict, edict
+
+
+#define prior of new population model
+def popprior(mass,alpha,umin,umax):
+ #if mass >= pmin and mass <= pmax:
+ prior = (1-alpha)*mass**(-alpha)/(umax**(1-alpha)-umin**(1-alpha))
+ prior[mass<umin]=0
+ prior[mass>umax]=0
+ #masses = postmasses[ (postmasses >= U_min) & (postmasses <= U_max) ]
+ return prior
+
+#define ratio of new and old prior
+def priorratio(mass,w,alpha,ev,umin,umax):
+ #p_min = minmaxdict[ev][0]
+ #p_max = minmaxdict[ev][1]
+ y,x = np.histogram(priordict[w][ev],bins=100)
+ f = interpolate.interp1d(x[:-1],y,fill_value=0, bounds_error=False)
+ #a = integrate.quadrature(lambda mass: f(mass),p_min,p_max)[0]#points = x[:-1])[0]
+ a = integrate.trapz(y,x[:-1])#points = x[:-1])[0]
+ preprior = f
+ #massrange = mass[ (mass >= pmin) & (mass <= pmax) ]
+ return np.divide(popprior(mass,alpha,umin,umax)*a, preprior(mass), out=np.zeros_like(popprior(mass,alpha,umin,umax)*a), where=preprior(mass)!=0)
+
+#get data to define xi(alpha)
+with h5py.File('../data/o3a_bbhpop_inj_info.hdf', 'r') as f:
+ m1 = np.array(f['injections/mass1_source'])
+ gstlal_ifar = np.array(f['injections/ifar_gstlal'])
+ pycbc_ifar = np.array(f['injections/ifar_pycbc_full'])
+ pycbc_bbh_ifar = np.array(f['injections/ifar_pycbc_bbh'])
+
+min_ifar = 1.0 #set false alarm rate
+found = (gstlal_ifar > min_ifar) | (pycbc_ifar > min_ifar) | (pycbc_bbh_ifar > min_ifar) #count events found by the specified detection algorithms at the given false alarm rate
+
+#define population fraction xi(alpha)
+def xi(alpha, all_m1=m1, sel=found):
+ m1_found = all_m1[sel]
+ p_draw = m1_found**(-2.35) # alpha used for creating injections; from notebook accompanying data release
+ p_new = m1_found**(- alpha)
+ p_ratio = p_new / p_draw
+
+ return p_ratio.sum() / all_m1.size #calculate fraction of events detected
+
+#define event likelihood(alpha)
+def likelihood(w,alpha,ev,umin,umax):
+ postmasses = postdict[w]['mass_1_source'][ev] #specify which postdict depending on waveform model!
+ priormasses = priordict[w][ev]
+ #return posterior masses in prior range to avoid dividing through zero:
+ p_min,p_max= min(priormasses),max(priormasses)
+ masses = postmasses[ (postmasses > p_min) & (postmasses < p_max) ]
+ return np.median(priorratio(masses,w,alpha,ev,umin,umax))/xi(alpha)
+
+def tot_int_like(app,_dict,x,U_min,U_max):
+ f_likely_dict = {ev :interpolate.interp1d(x,np.array([likelihood(app,alpha,ev,U_min,U_max) for alpha in x]),fill_value=0, bounds_error=False) for ev in _dict} #create dictionary with interpolated event likelihood distributions for the given array of alpha values and fixed cut-off masses
+ return np.array([np.prod([f_likely_dict[ev](alpha) for ev in _dict]) for alpha in x]) #return product of single event likelihoods
+
+def peak_alpha(app,_dict,x,U_min,U_max):
+ f_likely_dict={ev :interpolate.interp1d(x,np.array([likelihood(app,alpha,ev,U_min,U_max) for alpha in x]),fill_value=0, bounds_error=False) for ev in _dict}
+ return scipy.optimize.fmin(lambda alpha: -np.prod([f_likely_dict[ev](alpha) for ev in _dict]), 4) #return alpha value of maximum model likelihood
\ No newline at end of file
diff --git a/notebooks/Data_fetching.ipynb b/notebooks/Data_fetching.ipynb
new file mode 100644
index 0000000000000000000000000000000000000000..31bb0b4be9881e9f6dff8ef1519cc59b763857a8
--- /dev/null
+++ b/notebooks/Data_fetching.ipynb
@@ -0,0 +1,78 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "0.10.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "import pesummary\n",
+ "from pesummary.gw.file.read import read\n",
+ "from pesummary.gw.fetch import fetch_open_data\n",
+ "import os\n",
+ "import Dictionaries\n",
+ "from Dictionaries import edict"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Extracting all files from /tmp/astropy-download-7750-xlcdwmbn\n"
+ ]
+ }
+ ],
+ "source": [
+ "#Download data for specific event\n",
+ "event=\"GW190620_030421\"\n",
+ "path_to_directory = fetch_open_data(event, unpack=True, read_file=False, delete_on_exit=False, outdir=\"../data/GWTC-2_files/\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "#Download data for all GWTC-2-events\n",
+ "import glob\n",
+ "for ev in edict['all']:\n",
+ " path_to_directory = fetch_open_data(ev, unpack=True, read_file=False, delete_on_exit=False, outdir=\"../data/GWTC-2_files/\")"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.6.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/notebooks/Dictionaries.py b/notebooks/Dictionaries.py
new file mode 100644
index 0000000000000000000000000000000000000000..874bd1fb859e3f8c3f590279566fe12ddffe2f3c
--- /dev/null
+++ b/notebooks/Dictionaries.py
@@ -0,0 +1,78 @@
+import numpy as np
+import h5py
+from numpy import save
+from numpy import load
+import pickle
+
+#bayes approximants and dictionaries
+app1 = 'C01:IMRPhenomPv2'
+app2 = 'C01:SEOBNRv4PHM'
+app3 = 'C01:NRSur7dq4'
+
+#### Normal Dictionary
+waveformdict = load('../data/waveformdict.npy',allow_pickle=True).item()
+allevents = load('../data/edict.npy',allow_pickle=True).item()
+edict = {w: ev for w, ev in waveformdict.items()}
+edict.setdefault('all',allevents);
+#Exclude NSBH events
+e_exclude=['GW190426_152155','GW190814','GW190425']
+for ev in e_exclude:
+ for d in [edict[app1],edict[app2],edict[app3]]:
+ if ev in d:
+ del d[ev]
+#add GW190521
+e_add = 'GW190521'
+for d in [edict[app1],edict[app2],edict[app3]]:
+ if e_add not in d:
+ d[e_add]=37
+
+eventnames={}
+for a in edict:
+ names = list(edict[a].keys())
+ eventnames.setdefault(a,names)
+with open('../data/postdict.pkl', 'rb') as input:
+ postdict = pickle.load(input)
+with open('../data/zdict.pkl', 'rb') as input:
+ zdict = pickle.load(input)
+with open('../data/priordict.pkl', 'rb') as input:
+ data = pickle.load(input)
+ priordict = {}
+ for w in [app1,app2,app3]:
+ waveformmasses = {}
+ for ev in waveformdict[w]:
+ i =edict['all'][ev]
+ z = np.median(zdict[w][ev])
+ masses = 1/(1+z)*data[i]['mass_1']
+ waveformmasses.setdefault(ev,masses)
+ priordict.setdefault(w,waveformmasses)
+with open('../data/mc_postdict.pkl', 'rb') as input:
+ mc_postdict = pickle.load(input)
+
+#### Dictionary exclude low
+waveformdict = load('../data/waveformdict.npy',allow_pickle=True).item()
+allevents = load('../data/edict.npy',allow_pickle=True).item()
+edict_ex_l = {w: ev for w, ev in waveformdict.items()}
+edict_ex_l.setdefault('all',allevents);
+#Exclude NSBH events
+e_exclude=['GW190426_152155','GW190814','GW190425','GW190924_021846']
+for ev in e_exclude:
+ for d in [edict_ex_l[app1],edict_ex_l[app2],edict_ex_l[app3]]:
+ if ev in d:
+ del d[ev]
+#add GW190521
+e_add = 'GW190521'
+for d in [edict_ex_l[app1],edict_ex_l[app2],edict_ex_l[app3]]:
+ if e_add not in d:
+ d[e_add]=37
+
+#### Dictionary exclude high
+waveformdict = load('../data/waveformdict.npy',allow_pickle=True).item()
+allevents = load('../data/edict.npy',allow_pickle=True).item()
+edict_ex_h = {w: ev for w, ev in waveformdict.items()}
+edict_ex_h.setdefault('all',allevents);
+#Exclude NSBH events
+e_exclude=['GW190426_152155','GW190814','GW190425']
+for ev in e_exclude:
+ for d in [edict_ex_h[app1],edict_ex_h[app2],edict_ex_h[app3]]:
+ if ev in d:
+ del d[ev]
diff --git a/notebooks/MATPLOTLIB_RCPARAMS.sty b/notebooks/MATPLOTLIB_RCPARAMS.sty
new file mode 100644
index 0000000000000000000000000000000000000000..be9f40b1f7e7786a73ffdae529658abcf26d3a2d
--- /dev/null
+++ b/notebooks/MATPLOTLIB_RCPARAMS.sty
@@ -0,0 +1,15 @@
+figure.figsize : 6.75, 6
+xtick.labelsize : 18
+ytick.labelsize : 18
+axes.labelsize : 22
+legend.fontsize : 13
+figure.titlesize : 32
+font.size : 24
+savefig.dpi : 300
+lines.solid_capstyle : round
+patch.edgecolor : w
+patch.force_edgecolor : True
+font.family: Times New Roman
+font.sans-serif: ['Bitstream Vera Sans']
+text.usetex: True
+mathtext.fontset: stixsans
\ No newline at end of file
diff --git a/notebooks/MonteCarlo.py b/notebooks/MonteCarlo.py
new file mode 100644
index 0000000000000000000000000000000000000000..aee436acb0bf58aab6c89a6896f8d1cb2d650fb0
--- /dev/null
+++ b/notebooks/MonteCarlo.py
@@ -0,0 +1,88 @@
+#import all necessary packages
+import numpy as np
+import scipy
+import scipy.optimize as optimize
+from scipy import interpolate
+import scipy.integrate as integrate
+import pesummary
+from pesummary.utils.array import Array
+from numpy import load
+import pickle
+import Dictionaries
+from Dictionaries import app1, app2, app3, priordict, postdict, edict, mc_postdict
+
+#define test function to fit the population
+def test_func ( x , a , b ):
+ return b * ( x )**( - a )
+#define logarithmic test function
+def test_func_log ( x , a , b ):
+ return np.log(b)-a*np.log( x )
+
+#define functions to yield the 90% confidence interval and other intervals
+def confup( x ):
+ "gives the difference between the median and the 95% confidence upper boundary"
+ return np.subtract(Array( list(x) ).confidence_interval(percentile=[5,95])[1], np.median( x ))
+def confdn( x ):
+ "gives the difference between the median and the 5% confidence lower boundary"
+ return np.subtract(np.median( x ),Array( list(x) ).confidence_interval(percentile=[5,95])[0])
+def five_p( x ):
+ return Array( list(x) ).confidence_interval(percentile=[5,95])[0]
+def ninetyfive_p( x ):
+ return Array( list(x) ).confidence_interval(percentile=[5,95])[1]
+def ninety_p( x ):
+ return Array( list(x) ).confidence_interval(percentile=[0,90])[1]
+
+#----------------------The Monte-Carlo Simulation-------------------------------------------------
+
+#Set the credibility threshold SNR
+thresholdsnr = 8
+
+#Define the Detection volume-time for reweighing
+def det_vol_time ( luminosity_distance , network_optimal_snr ):
+ "gives the volume in which the event could have been detected"
+ return (149.9/365.25)*4 / 3 * np.pi *(luminosity_distance/1000 *network_optimal_snr/thresholdsnr)**3 #cf. on-time fraction and volume of a sphere
+
+#Monte-Carlo Simulation depending on iterations and waveform approximant
+def mc( n,app ):
+ u_min=2
+ u_max=100
+ bins=18
+
+ # -- initialize variables
+ a_params_spy = []
+ b_params_spy = []
+ a_params_log = []
+ b_params_log = []
+ histbars = []
+ histbins = []
+
+ for i in range(n):
+ #Draw random template of each events posterior samples
+ rdm_i= {ev: np.random.randint(len(mc_postdict['mass_1_source'][ev])) for ev in edict[app].keys()}
+ #Save all relevant posterior samples of template (source mass, luminosity distance, SNR)
+ pop_draw = {ev: [mc_postdict['mass_1_source'][ev][rdm_i[ev]],mc_postdict['luminosity_distance'][ev][rdm_i[ev]],mc_postdict['network_optimal_snr'][ev][rdm_i[ev]]] for ev in edict[app].keys()}
+
+ # -- Calculate detection-volume time and list for all events
+ mcsample = [pop_draw[ev][0] for ev in pop_draw]
+ weights = [1/det_vol_time(pop_draw[ev][1],pop_draw[ev][2]) for ev in pop_draw]
+ mc_hist = np.histogram(mcsample,bins=bins,weights=weights)
+
+ #fit samples using the scipy.optimize_curvefit (spy) and logarithmic least squares (log) methods:
+ msk = [el != 0 for el in mc_hist[0]]
+ x = np.array([np.mean([mc_hist[1][i],mc_hist[1][i+1]]) for i in range(bins)])[msk]
+ y = np.array(mc_hist[0])[msk]
+ y_log = np.log(np.array(mc_hist[0])[msk])
+ #non-linear regression fit
+ popt, pcov = optimize.curve_fit(test_func, x, y,p0=[2.35,1000],bounds=(0,[12.,10**13]), maxfev=2000)
+ #logarithmic least squares fit
+ popt_log, pcov_log = optimize.curve_fit(test_func_log, x, y_log,p0=[2.35,1000])
+
+ #save all relevant data of this iteration
+ a_params_spy = a_params_spy + [popt[0]]
+ b_params_spy = b_params_spy + [popt[1]]
+ a_params_log = a_params_log + [popt_log[0]]
+ b_params_log = b_params_log + [popt_log[1]]
+ histbars = histbars + [mc_hist[0]]
+ histbins = histbins + [mc_hist[1]]
+
+ return list(a_params_spy), list(b_params_spy), list(a_params_log), list(b_params_log), histbins, histbars #return joint data of all iterations
\ No newline at end of file
diff --git a/notebooks/Publication_Plots.ipynb b/notebooks/Publication_Plots.ipynb
new file mode 100644
index 0000000000000000000000000000000000000000..32fc73590b90221297794fabbf34b66380514d38
--- /dev/null
+++ b/notebooks/Publication_Plots.ipynb
@@ -0,0 +1,1092 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Publication Plots\n",
+ "This notbooks contains the code required to obtain the plots in my thesis. The functions used are defined in the python files \"Dictionaries.py\", \"Bayes.py\" and \"MonteCarlo.py\". To run this notebook a matching pyhton environment and file structure should be used (see. readme.txt)."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import matplotlib\n",
+ "import matplotlib.pyplot as plt\n",
+ "plt.style.use(\"MATPLOTLIB_RCPARAMS.sty\")\n",
+ "matplotlib.rcParams['text.latex.preamble'] = r'\\usepackage{amsmath}'\n",
+ "import Dictionaries\n",
+ "from Dictionaries import app1, app2, app3, waveformdict, priordict, postdict, edict, eventnames, zdict"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## The Truncated Model"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import numpy as np\n",
+ "from Bayes import popprior\n",
+ "import warnings\n",
+ "warnings.filterwarnings(\"ignore\") #ignore discontinuity in x=0\n",
+ "#Specify cut-off masses and power-law parameter of the Truncated Model prior\n",
+ "U_min = 2\n",
+ "U_max = 100\n",
+ "alpha=2.35\n",
+ "#Plot Prior\n",
+ "plt.figure()\n",
+ "x = np.linspace(U_min-12,U_max+12,50)\n",
+ "y = popprior(x,alpha,U_min,U_max)\n",
+ "plt.plot(x,y)\n",
+ "plt.xlabel(r'$m_1~[M_{\\odot}]$')\n",
+ "plt.ylabel(r'$p(m_1)[M_{\\odot}]$')\n",
+ "plt.title('Truncated model',fontsize=22)\n",
+ "plt.yscale(\"log\")\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## M1-M2 Scatter Plot"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from numpy import load\n",
+ "#get mass samples for IMRPhenomPv2\n",
+ "m1_dict=np.load('../data/m1_dict.npy',allow_pickle=True).item()\n",
+ "m2_dict=np.load('../data/m2_dict.npy',allow_pickle=True).item()\n",
+ "#list median masses\n",
+ "x=[]\n",
+ "y=[]\n",
+ "for ev in edict[app1]:\n",
+ " m1=np.median(m1_dict[ev])\n",
+ " m2=np.median(m2_dict[ev])\n",
+ " x.append(m1)\n",
+ " y.append(m2)\n",
+ "#add median masses for GW190521 for IMRPHenomPv3HM\n",
+ "x.append(np.median(m1_dict['GW190521']))\n",
+ "y.append(np.median(m2_dict['GW190521']))\n",
+ "#plotting\n",
+ "x1=np.linspace(0,max(x)+5,20)\n",
+ "plt.plot(x,y,'.',markersize=7)\n",
+ "#add equal-mass line for better visualization\n",
+ "line=plt.plot(x1,x1,'--',color='grey',label=r'$m_1=m_2$')\n",
+ "plt.xlabel(r'$m_1[M_{\\odot}]$')\n",
+ "plt.ylabel(r'$m_2[M_{\\odot}]$')\n",
+ "plt.ylim([0,75])\n",
+ "plt.xlim([0,100])\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Posterior Sample Corner-Plot"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "#Specify event\n",
+ "ev='GW190620_030421'\n",
+ "#Import data from posterior samples\n",
+ "import pesummary\n",
+ "from pesummary.gw.file.read import read\n",
+ "f = read(\"../data/GWTC-2_files/{0}/{0}.h5\".format(ev))\n",
+ "samples = f.samples_dict"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 547.2x547.2 with 9 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#Make corner-plot\n",
+ "one=samples[\"C01:IMRPhenomPv2\"]\n",
+ "fig = one.plot(type=\"corner\", parameters=[\"mass_1_source\",\"luminosity_distance\",\"network_optimal_snr\"], fontsize={'legend': 20, 'label': 20})\n",
+ "warnings.filterwarnings(\"ignore\")\n",
+ "fig.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Reweighed Median Mass Histogram"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from MonteCarlo import det_vol_time\n",
+ "import pickle\n",
+ "with open('../data/mc_postdict.pkl', 'rb') as input:\n",
+ " mc_postdict = pickle.load(input)\n",
+ "\n",
+ "medians=np.array([np.median(mc_postdict['mass_1_source'][ev]) for ev in mc_postdict['mass_1_source']])\n",
+ "weights=np.array([365.25/149.9/det_vol_time(np.median(mc_postdict['luminosity_distance'][ev]),np.median(mc_postdict['network_optimal_snr'][ev])) for ev in mc_postdict['mass_1_source']])\n",
+ "\n",
+ "plt.hist(medians,bins=20,weights=weights,alpha=0.7)\n",
+ "plt.xlabel(r'$m_1[M_{\\odot}]$')\n",
+ "plt.ylabel(r'$\\frac{d\\mathcal{R}}{dm_1}[Gpc^{-3}yr^{-1}M_{\\odot}^{-1}]$')\n",
+ "plt.yscale(\"log\")\n",
+ "plt.gcf().subplots_adjust(left=0.2)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Population Density Plot"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from MonteCarlo import mc\n",
+ "\n",
+ "#keep activated to plot precalculated simulation-----------------------------------------------------------------\n",
+ "m=5000\n",
+ "answer = np.load('../data/n{0}'.format(m)+'.npy',allow_pickle=True)\n",
+ "\n",
+ "###activate to simulate own population sample: ------------------------------------------------------------------\n",
+ "\n",
+ "#m=5000 #set population sample size\n",
+ "#answer=mc(m,app1) #perform Monte-Carlo Simulation on sample\n",
+ "#np.save('../data/n{0}'.format(m)+'.npy', answer) #save analysis sample"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.figure()\n",
+ " #plot population histogram bin markers\n",
+ "for i in range(m):\n",
+ " plt.plot(answer[4][i][:-1],answer[5][i],\",\",alpha=0.3,color='grey')\n",
+ " plt.yscale(\"log\")\n",
+ " #plot adjustments\n",
+ "plt.gcf().subplots_adjust(left=0.2)\n",
+ "plt.xlabel(r'$m_1[M_{\\odot}]$',fontsize=22)\n",
+ "plt.ylabel(r'$\\frac{d\\mathcal{R}}{dm_1}[Gpc^{-3}yr^{-1}M_{\\odot}^{-1}]$',fontsize=22)\n",
+ "plt.yscale(\"log\")\n",
+ "plt.ylim([10**-4,5*10**1])\n",
+ "plt.xlim([0,130])\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Fit Parameter Distributions"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Opt.curve_fit-Plot"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "#Select which sample to load by specifying the sample size\n",
+ "m=250000\n",
+ "\n",
+ "path='../data/n{}'.format(m)+'.npy'\n",
+ "para_dict_log={}\n",
+ "para_dict_log[r'$\\alpha$'] = list(np.load(path,allow_pickle=True)[2])\n",
+ "para_dict_log[r'$\\log_{10}\\beta$'] = np.log10(list(np.load(path,allow_pickle=True)[3]))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 360x360 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import seaborn as sns\n",
+ "sns.displot(para_dict_log, x=r'$\\log_{10}\\beta$',y=r'$\\alpha$',kind='kde',fontsize=30)\n",
+ "plt.xlim([1,5.5])\n",
+ "plt.xticks(fontsize=19)\n",
+ "plt.yticks(fontsize=19)\n",
+ "warnings.filterwarnings(\"ignore\")\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Log_lsq-Plot"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "para_dict={}\n",
+ "para_dict[r'$\\alpha$'] = list(np.load(path,allow_pickle=True)[0])\n",
+ "para_dict[r'$\\log_{10}\\beta$'] = np.log10(list(np.load(path,allow_pickle=True)[1]))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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uaSHY1kICUYgr1K9bj/Ofr3bT1deTRTNGN+q934msAhZUhuHiR8Pp2QbCECQQhbji2O0KH/+8l29+O8SQ/r4888AIPBuxsEL66XwWvL8Zm13hlUfC6dW17Ux0kEAU4gpSUlrOPz/fQULySSaF9eThO0IaNPOkSlqmhQXvGwBY/KjjvzM8lwSiEFeIs5ftmnFrMLeN792o1WaOZph5fpkBJ42KVx5xrBkoDSWBKMQV4GiGmagVWygoLmvwsl1nO2jKZVF0Am4uGhY/OqbRK2M7CglEIdq4bXsz+ccn22nn7swbT4yjd7fGvfPbd/QML65IwMvDhVcecdxB1w0hgShEG/bfTUdY8X0yvbvpeP6hUXTUuTeqfPKhbKI+2EIHrRuLHx2DT/vGlXc0EohCtEE2u0J8Uh5bUtMZFeTHvKmhuLk27q/7jv2nWbwykc4dPVn8SDje2su/6dPlJoEoRBtjLbPx1mdJbEkt4NZxvXno1mA06sYt1Z+YcpLXP96Of2cvomaHXfSG845GAlGINsRcYOXlDxM5kJZLxDAds24PafRnbN6dwZufbqdPdx0vzQqjnYdLM9S0dZJAFKKNyMgu4MWYLeTkFfPMAyNwLTvZ6M/YkGTiX1/sIKBHB16cNRoPt5bfCe9ycoj1EIUQ57f/+Bnmv72JwuIyXnlkDOGDutY4by2z8cfuExzPrH9PoV+3HuefX+wguI8PLz0cdsWFIUgLUQiHl5CcwZJPk+ioc+eFWaPpdtYYQbtdIX7LMT5ds5/8olIG9/PhlUdqrxi/JuEY7329m6H9fXlu+sgGbzrf1lyZdy1EG/HDxsOs+CGFfvr2LJoxukbnh6XIxnPvb8Z4JAd/Py/yi0pp3652T/EPmw4T810KIwI788wDI3BxbtiisG2RBKIQDshmV1jxfTI//nGUsJAuPDU1FNezgmxLykmWrTmFXVHxyB0h/LrdhKuLhtsn9KnxOd9uOMSH/zUSFtKF+fcNx9npyn6LJoEohIMptpbz5qfb2bb3FLdf1YdpNwdVD6sxncrnkzX7SEg+SRdvZxbMGMun8fs4kp7Hc9NG0rd7++rP+fLXA3yyZh9jBndl3tTQRi3y0FZJIArhQLLzinn5g0SOZVp49M5B3BjeC6hoMX69/gCrfzmAq7OaKdcH0LdDAb8kHmdLSiazbg9mVHAXoGIjqc/W7id23QEmhHbnr5FD0UgYAhKIQjiMQ6Y8Xv5wC8VWGwsfGsXwgZ2BmpvJjx3clYdvD8Fb68a7n28gPukEt47rza3jKh6VFUXho58q1kK8fqQ/j989pNGDttsyCUQhHEBCcgZvfb4DnacLbz4ZXr1c/9EMM6+s3EqupaTGZvIJyRnEJ5kJC+nCQ7cGAxU9zjHfJfPj5qPcGN6T2XcMQi1hWIMEohCtmKIofL3+IB//vI8Af28WPDQSb6+KnuLNuzP41+odtHN35vXHx1bvn7z3aA5LPk2ie0cXnpoaikatwmZXeO/r3fySeJzbr+rDQ7cENWotxCuFBKIQrZS1zMY7sbv4fWc644d0Y86Uobg6a7DbFT7/peId4IAe3jw3bWT1wgvHMy1EfZCIr7c7947T4uqsodxm599f7OT3nelEXt+fqRMHSBjWQwJRiFYox1zM4pVbOWjK4/5JA7n72n6oVCqKSsr45+c7SDRmcv1Ifx69c1D1ZvJZucW8uDwBV2c1Lz0cTvrRfZSW2fjHJ9tJNGby4E2B3HVNvxa+s9ZNAlGIVuZweh6vfJhIQXEZz00bSVhIRe/wyexCXlmZSPrpAmbdFswt4/7cAsBSWMoLMQaKrOW8/vhYOnfw4MhBOy9/mMiuA1nMviOEm8f2bsnbcggSiEK0IgnJJ3nr8yS8PFxqrG69Y/9p/vHpdtQqeGnWaIb071RdpsRazssfbCEzp4iXHg6jV1cdhcVlfPJbNieyS5kbOZTrRvq31C05FAlEIVqBsztP+vu35/npo/DWulUf/2TNPnr4aVkwfWSNJfzLbXbe+GQ7B9JyefqBEYT08cFcYOWFmARO5JQy//7hjB3crQXvzLFIIArRwkrLbLzz1S42JKUzfmg35kRWdJ5Yy2wsXb2TTbtOMH5oN568Z0iNRRfsdoV/f7GT7ftO8fhdgwkf1JUzlhKeX2bgVE4hU8Z1lDBsJAlEIVpQjrmY11ZtIzUtl/siBnDPdf1RqVScsZSweGUiB015PHhTIHde3bdGz7CiKCz7dg+/70zngRsHEhHWk9Nninh+mYG8ghJefDiM0rzjLXhnjkkCUYgWknr8DK+u2kpRSTnPPjiieg3Doxlmoj5IpKColGcf/LNTpYqiKKz6cS9rDMe48+q+3HVNPzKyC3h+mYGi4jKiZoczoEcHkpIkEBtLAlGIFvDr1uO8+/UeOurceHNOOD0rZ55s33eKf3yyDQ+3isHWfc5ajKHKZ/H7idtwiEnhPXnwpkBMp/JZGG2g3Kaw+NExdZYRDSOBKMRlZLdXzCWO23CIIf18+fsDw/Gq3LPkp81HWf7tHnp20bFoZt1bhn6xdj+xvx7g+pH+PHLHII6dtPD8MgMatYpXHxtDDz/t5b6lNqVNB6LFYsFgMBAREdHSVRGCktJy/vn5DhKST3JjeE8evj0EjUaNza6w8r9Gvt94mBGBnZl/33Dcz9kyVFEUPl+byup1qVw3wp8n7h7C4RN5LIpOwM1Fw+JHx9D1rJWyxcVxiECcM2cOa9euBUCrrfkv4Lx584iMjKyznMlkYuHChcydOxeAoKAgIiMj671eiOaSm1/CKx9WdJLMvC2YWysHVZdYy3nr8yS2pGRy89hezLwtpNbqM2cv13XdCH+euGcIB9JyeSEmgXYeLix+JLzGUBxx8RwiEPV6Pb/++is6na7G8ejo6AuGW1xcHDqdrlaQCnG5nMgq4IXlCeTmW2t0kpyxlPDyh4kcSc9j1u3B1Ut0nU1RFD5Zs4+v/neQ60dWtAz3Hs0h6oMttPdyY/EjY/D1rv1oLS6OQwTimDFj0Ov1NY7Fx8czZcqUBpWXMBQtZf+xM0R9kIhKBa89NqZ6RZqjGWaiVmyhoLiMBQ+NYmSgX62yVb3JcRsOERHWk0cnDyL5UDZRHybSydudVx4Jr/M9o7h4DhGI4eHhNf7bZDIB1ApJIVqTxJST/OOT7XRs786Ls0bT1afiHd/ZPclnT88729lheGN4Tx6ZPIgdqad5deVWuvh48sojY2jv5VqrnLg0DhGI51q9ejXz589v0LVGo7E6QI1GI+Hh4QQFBTVn9YRg7ZaKbT37dG/PCzP/3A3vZ8NRouPO35Nctap11dCaRyYPYtveU7z20Tb8/byIejisxu56oumoFEVRWroSjREfHw/QoJ5ji8WCyWSqEYCTJ09m6dKlDWpdWq1WUlJSLr6y4oqjKAobU/L5LdlC3y5u3D22A67OauyKwq+7zBj2FdCvqxt3jak4Xpf1u81sNOYzvK8nN41ozz5TMV9vPoOftzP3X+OLu4vsf3IpQkND6z3ncC3E2NhYVq5c2aBrtVptrdZgWFgYMTExREVFNfhnBgcH4+oq/yI3h6SkpPN+QR2Jza4Q/e0efku2cM1wPU/eMwQnjRprmY1/fb4Dw74CJoX3ZHblcJu6rF6XykZjOjeM6sHjdw1m464TfG3YQUCPDrwwczSe7s4Nrk9b+t1eLg4ViCaTCbPZfEmf4e/vT2xsbBPVSIgKZeU23vpsB5v3ZDB5Ql+m3RyISqXCXGDllQ8TSU3L5aFbgrj9qj71rlb99fqDfBa/n6tDu/P4XYNZvz2Nt7/cRXBvHxbOGFVrbKJoeg7V9o6Pj6819KY+JpOJgIAALBZLM9dKXOmKSsp4MWYLm/dkMOPWYKZX7leSfjqfeW9v5MgJM888MII7JvStNwzjfjvERz/tZfzQbsydMoz4LcdYGruLIf18WTRTwvBycajfcnJycoN7lnU6HfPmzas15MZoNBIWFtYc1RNXoLx8Ky+uSOBYhoW/3TuMa4ZXfD9TDmezeOVWNBoVix8bw4AeHer9jO83Hmblj0bGDenG/907jB82HubD/xoZGejH0w8Mx8VZc7lu54rnUC3E9PR0vLy86jxnsViYM2dOdY+yVqutFYYmkwmDwdDgHmohziczp5C//2cTplMFPP/QqOow3LAjnYXRCbT3cmXJnPHnDcMfNh1mxfcphIV04W/3DuWr9Qf58L9GxgzuyrPTRkgYXmYO1ULs3r07ISEhdZ4zm80kJCRgMpmqW5GRkZHV7wstFgt5eXnExcVdtvqKtuvYSQsvLDdgLbPzyuxwBvbqgKIofPm/A3y6Zj/BfTqyYNpI2lUu3FCX734/zAc/VITh/PtC+eKXVL7630GuGa5nzj1D6u14Ec3HoQLx7bffrvecXq9n27ZttY7LvGXR1IxHcnj5w0RcnTW88fhYenTRUm6z897Xu1m3NY0Jod2Zc89QnJ3qD7S43w6x8kcj4YO6MG9qKKt+3MsPm44wcXQPHrtzsGwg30IcKhCFaGlbjZm88fE2fL3diXo4nE4dPCgqKeP1j7ax80AWU64P4C8TA86773HcbwdZ+eNexg3pxl+nDCX622TWbjnOreN7M/PWYNkzuQVJIArRQL9uPc47X+2mdzcdL1bOPskxF/PSii2kZeYz554hXD+qx3k/46v/HeDjn/cxbkg35kYO4d2vd7N+u4m7r+3H/ZMGShi2MAlEIS7g7B3xhvb35dlpI3F3deJ4poUXlydQWFLGohmjGTag03k/Z/W6VD6L31+9kVTVBlJTIwYw5fqAy3Q34nwkEIU4D5tdYcX3yfz4x1GuGtqduVMq3g0mH8pm8cpEXF00vP543Qs0nO2z+P2sXpfKNcP1PHrnYJZ8up0tKZlMvzmQyVf3u0x3Iy5EAlGIepSW2fjnFzvYvDuD26/qw/Sbg1CrVfy+I51/r95JFx8PXpwVRidvj3o/Q1EUPov/c9n/WbeH8MbH29i+7xSz7wjh5rG9L+MdiQuRQBSiDgXFZSxemUjK4RweuiWIOyb0RVGU6g6RoN4deX76+YfVnL246w2jejDjliBeXbWV3QezePyuwUSE9bx8NyQaRAY6CXGO7LxinvnPJvYfO8NTU0O5Y0JfysrtvPv1blb+uJexg7sS9XAY7TxcsNsVUo/nMmPxOoxHcqo/o2oJr6/+d5CJo3sw/eZAoj5MZM/BLObcM1TCsJWSFqIQZ0nLtPBCzBYKi8t4cWYYg/v7Yi6w8vrH20g5nMPd1/bjvoiBqFSweU8Gq39J5cTpfNwqO1mCendEURQ+/K+R734/zKTwntwXMZAXYhI4lG7mqamhjB/avaVvU9RDAlGISvuPneGlFVtwdlLz+uNj6d1Nx9EMM698mEhuvpWn/jKMCaF69hzK4oMfjBw5YcbTzYkym8K4QD9uDO+Foiis+CGFHzYe4eYxvYi8vj8Low2kZVp45oERtTadF62LBKIQVCzr/9pH2+iocyPq4TD8OnqyadcJlsbupJ17xabxPbtoeTt2J+u2ptGpgwdzI4ewfns6qWm5TL664h3j8u8qeqRvHdebyVf3ZcEyA5nZhSyYPorhAzu39G2KC5BAFFe8jTvT+efnO+jRRcuLs0aj9XTl458r3v8N7NmBZx8cgV1ReO69zaSm5XLXNf2YckMAX6zdT/LhbObcMwR9Jy+Wxe3hZ8Mxbhvfh1vG9eLZ9zaTaynhhVmjGdTXt6VvUzSABKK4oq0xHOX9uD0E9urIwodGoVLBqyu3snVvJjeM6sEjkwdxNMPM4pWJFJWU8+yDIwgf1JXfkkx889shJoX15NoR/rz3zW7WbjnO5Al9uWGUP8+8u5nikjJenh3OgJ71r3YjWhcJRHHFqppGNyKwM08/MIJcSwlRHyRyIquAR+4I4cYxvfgtKZ3/fLULb60bb84Jp2cXLcYjObwdu4uQPj7MuC2Yt7/cyf+2VUy/Gz+kG8++txmbXeHVx8ZecMC2aF0kEMUVp2pIzDe/HeKqod35671DST2ey+KVW1EUhahZYQT39WHlj3v5dsMhBvX14e/3D0fXzhXTqXwWr0ykcwcPnr4/lHdid/H7znT+ckMAwwZ04rn3N+PspOH1x8eg71z32p2i9bqoQFy7di3p6elMnDiR7t1rDiFISEggJCSEdu3aNUkFhWhKdrvCsm/3sMZwjElhFVt8bthh4p0vd9G5gwcLZ4xG5+lC1Iot7Eg9zc1jejHjtmCcNGrOWEp4ccUWNBo1C6aP5P24ZDbvyeCBGwcyoGcHFkYb0Hq68soj4fh19GzpWxUX4aIGZk+cOJEZM2ZgNBp56623KCgoqD4XFhZGdHR0k1VQiKZSbrPzry92sMZwjDuv7ssjk0P4/Jf9/OuLnQT26siSOeOx2ez839KN7DmUxRN3D2H25EE4adQUFpfxwvIELAVWnn1gBCt/NLJ5TwYzbwumZxctLy5PwKe9O288MVbC0IFd0iPzxIkT0ev1vPnmm4wdO5aBAweSn59/yTvjCdHUysptvPHxdhKNmdw/aSB3TOjLv1bvZENSOteP9OfROwezY/8p3vo8CVcXJ159dCwDe1V0hljLbLz8YSKmU/k8++AIvliXyq4DWTx25yDaubuweOVWenXV8uIs2UDe0V1UIP7yyy+8+eabpKenAxXvZGJjY1GpVGi1Wl5++eUmraQQl6LYWs7ilYnsPpjN7DtCmBCq58WYBPYcyua+SQO4+5p+fPW/g3wav5+++vYsmDYSn/buQEWr8s1PtrP3aA5P3j2Eb38/zL6jOfx1ytCKc59tJ7BXRxbNGIWHW8P3TBatU6MDce3atSxZsoTIyMham8BXbfl5ww03NE3thLhEBcVlvBSTwIG0XP46ZSiD+vryzH82cSKrgL/dO4zwkC7849MkNu/OYEJod564ewiulRs72ewKS1fvJNGYyfRbglibeJyDpjyemhpKVm4xq37aS+iATjzz4AjcXKR/si1o9P+LKSkprFu3rt7za9euvaQKCdFUcvNLeHH5FtJOWXj6gRF069SO+e9spKiknBdmjqarbzue/s8fHD1pZvrNgTX2TbbbFf7z5S427Ejnnuv6s3FnOsdPWnj6/uEcNOXx9fqDjBvSjb/dO+y8e6cIx9Lo/yfbt29/3vMTJ07kq6++utj6CNEkTucW8ey7f3Aiu4CFD43Gy9OFp9/ZhKIovPHEWJydNPzfv38n80whi2aMZvLV/arDUFEUlsXt4ddtadx+VR+2GjNJy8znmQdHsutAFl+vP0hEWE+emhoqYdjGNLqFmJycfMFrFEW5qMoI0RTST+ezMDqB4pIyoh4O44ylhLc+3IFfRw9eejiMHftPE/3tHjp5e/D8Q6NqjBdUFIWY71NYk3CMm8b0Yvu+TE7nlvDctJGs325i064T3HVNPx64UfY/aYsa/c9beHg4H3zwwXmvkS+KaCmH0/N45t0/KC+38+pjYzmcbuYfn2ynn749rz46hq/XH+Tdr3czqJ8vb80dXysMV/24l/9uOsINo/zZmXqK7LwSnps2gv/+cYRNu04w/eZAHrwpUL7jbVSjA/Gee+5hz549/PWvf2X//v11XpOWlnbJFROisYxHcqpniix+LJyNO9NZ/l0yIwP9+L+pw3j9422sMRxj8oS+LJoxutZq15+t3U/chkNcHdqdPQezyc0v5ZkHRhC77gC7Uk/zxN2DZf+TNu6iusaWLl3KnDlzuP322/H39yc8PLy6x3nz5s2EhIQ0aSWFuJBtezN5/aNt+Hp78MLM0axel8r67SYiwnpydWh3nn7nDwpLyph/X90LtMauSyV23QHGDe6K8UgOhcUV1676aS/pp/OZf/9wxg7u1gJ3Ji6nix4r8Pbbb2MwGIiJiWH16tUAaLVaZs+ezYwZM5qsgkJcyIYkE/9evZNeXbU888AI3vtmDztSTzM1YgDeXq4seN9AR50bbz45jl5day+28M36ijGIo4P92Hf8DMVWG3+7dxgx36dwxlLCwhmjGRZw/i1GRdtwSYOnwsPDCQ8PByA/Px8vL5nMLi6v/246wvLvkhnU14cn7h7M659s50h6Ho/fNRjTqXw+i9/PkP6+/P3+4XjVsSHUd78fZtVPexkxsDMH03IpLbfzxN2Dee+bPZSW2XjlkXAG9JDlu64UTTaaVMJQXE6KovD52lRWr0tldLBf5b4lW8gxl/DUX0L533YTO1JPc+v43jx0cxAaTe3X5T/+cYQPfkhhaH9fDqXnYrPDrNuCee/r3Tg7qXmtcpVsceWQ4fXC4djsCsu/rVid+roR/kSE9WDBss3Y7fC3e4fy6Zr9ZOYU8sTdQ5g4ukedn7HGcJTobytalkcyzKhQcf+kAbz7zR46eLkRNTtMFmm4AkkgCodSVm7n31/sYOOuE0ye0JdB/Xx4fpkBracLUyMG8N7XuwF45ZFwgvv41PkZa7cc471v9hDUuwNHM8w4O6mZfHVfor/dQ/dOXkQ9HIa31u1y3pZoJSQQhcMosZbz2sfb2LH/NNNuCsRb68rLHyTi7+fFNcP1vPPlLvw6erJoxmi6+NTduluXeJx3v97NgJ7eHMuw4O7qxMTRPfngByMDenRg0czRtHOXRRquVBKIwiEUFJcRtWILqcfP8PhdgykoLuNfX+wkpE9HenfT8cEPRob09+Xp+4fXGl9Y5detabzz1S766b05ftKCl4crYwZ34bO1+xk+sDNPPzBcFmm4wjnEREyLxUJ8fHxLV0O0kLx8K8+99wcHTbnMv284aafy+einvYwZ1AVPd2e+33iEiaN78MLM2oOtq/y6NY23v9xJn27tOX7STHsvN4b09+XbDYeZMKw7C6aPlDAUjtFCNJlMLFy4kLlz5wIQFBREZGQkkZGRFywbHx+P2WxGp9NhMpmIiIhAr9c3d5VFE8nKLWZh9Gay8kp49sGR/JZk4o/dGUwc3YMjJ8wcSs/joVuCuP2qPgDkF5XWGl5TFYa9uuo4ftKMn48n/p21/JJ4nFvG9WbmrcGo1TIVTzhIIALExcWh0+nQahs+DMJgMJCcnMz8+fOrj02fPp2VK1c2RxVFEzuZXcjzyzZTUFzGc9NG8M36QyQfzuaOq/rwx54MLIWlPDdtJCMD/Vi/3UTsrwc4mV3IW3PH09/fG6h4Z/jOV7vo2UXL8ZMW9J298PZyY/OeDP4ycQBTru8v85JFNYd4ZK7SmDAEiImJYcqUKTWOBQYGyuO3AzCdyueZd/+g2Grj7/cP56Of9rL3aA53Xt2XtYnHsdnsvP7YWHx07vztX7/z79U7OZldCMCh9DwA1m45zttf7qKHn5ZjJy306qrDzUXDroOneWTyIO69IUDCUNTgUIHYWAaDodbjcUhICD///HML1Ug0xLGTFp57bzN2ReFv9w7lvW/2cDK7kEnhvfj298N08vbg9cfHsXVvJk+9vZG8AiuP3zWY7p3aoWvnwqggP9YYjvKfr3bh7+fFsZMWAvy9KSu3cSg9j3lTQ7lpTK+Wvk3RCjnMI7PRaMRkMlX/+ewFJeq7vi5arZa9e/c2Sx3FpTucnsfC6AScndQ8fEcwS2N3YrcrDA/szI9/HGH4wM7cP2kAb32WRGpaLleHdufh20NYGruTjOxCXp4dxuY9GcR8l4K+sxdpmfkE9+5ItrmY3HwrCx8azbABMi9Z1E2lOMBqrhaLBZPJVCMAJ0+ezNKlS+vtIDEYDMydO5dt27Y16HhdrFYrKSkpl1Z50WAnckr5ZH0Wrs5qrhmk5aftebi5qGjv6URaVimjAzzx1ToTv9OMRgU3j/QmuIcHG5ItbEi2MHGYDrsd1u0y46t1IstSTq/OrmSZSym3w9SrfND7yq54V7rQ0NB6zzlEC1Gr1dZqDYaFhRETE0NUVFS95ao2vbrQsQsJDg7G1VX+IjWHpKQkQkNDOZCWy+dxBrRe7kye0JcV3yfTuYMHKpWKE9mFzLotGOPRHP677SSD+vrwt3uH4dPenY0709mQnM7Vod3p6OPJ52tT6e7bjvSsAoYFdCL1+BlcXVx4/eFwelxh85Krfrei4RwiEOvi7+9PbGxsved1utrLPAHVQ3BE65F6/AyLlieg9XThhlE9iP52Dz38tOTlWykrtzHrtmC+/f0w2XnFPHhTIJMn9EWtVrH7YFblJvMd8PZy5fO1qXT18SQ9q4ARgZ3ZfTCLjjp3oh6WecmiYVp9p4rJZCIgIKDRLbuqFuW55SwWC4GBgU1WP3Fp0rOtFWHo4UJ4SFc+/nkfvbvpyMguwNlZzc1je7PiB2NFr/LjY7nrmn6o1SoOpOWyeGUiXX088ffzIm7DYbp09CQju5BRQX7s2H+K7r5evPHEWAlD0WCtPhB1Oh3z5s2rNeTGaDQSFhZ23rJBQUHVHTFV8vLyGDNmTJPXUzTe/uNn+Hh9NloPFwb18yVuwyH6dNdx5IQZ/85e9O3WnthfDzConw///r8JDOhZsS7h8ZMWXliegNbTld7ddcQnHKdzBw9O5hQyMsiPrXszGdCzI68+NgZvL1mkQTRcqw9ErVZbKwxNJhMGg6HGgGuLxcKcOXNqBOC8efOIjo6uUTYhIaFBM1xE89p7NIdF0QY8XdX07q7jl8Tj9Oyi5XC6mUF9fSi22kg0nuT+SQN5YcZodO0q3uGeyCrg+WgDzk5qenXVsiEpHV9vd06dKWL4gE5sNWYyYqAfLz0chqcs0iAaySHeIUZGRla/L7RYLOTl5REXF1fjGrPZTEJCAiaTqbrnOTw8vMY8aJPJxNKlSy9v5UUtyYeziVqxBW+tK+4aG4Y9J+nm245jJy2MCOxM8uFs3JydiJodzuB+vtXlMnMKeX6ZAbtdoXc3HVtSMvHRuZFjLmFQXx+27z/NdSP8eeLuwXUuCCvEhTjEsJuWUjXsRnqZm87uA1lEfZiIb3s3PN2dOZCWh6+3O9m5xQzp78vOA1kM6OHNMw+OoKPOvbpcVm4xz75XsVGUf2cv9h49g7eXKwXFZfTuqiM1LZc7r+4rW4SeRXqZG88hWoiibUjaf4rFK7fSuYMHAIfTzXi4qjEXWOnfw5udB7KYOLoHs+8YhLPTny28HHMxC97fjKWwlG6+nuw7egYvD2eKrOV09W1HalouM24Nrl7gQYiLJYEoLovElJO8/vF2/Dp4UGwtJ7+oFGcnNQp2fNt7ciAtl5m3BXPruN41Wng55mKee28zufkl+HX05PAJMx5uTtjtCt7tXDlxOp95U0O5aljtrUWFaCwJRNHs/th9giWfJtHV15PcfCt2m4LNpuDd3o2CohLOWIpZ+NAoRgT61ShX1TI8Yymho86NtFP5uDprcHJSo1arMBdaeWHmaIb0l6l4omlIIIpmtX67iaWrd9DVtx2ZOYW4OjtRZC2nh58XmTlFuDmrePnR2vslV4VhjrkEXTsXTp0pQq1W0c7dmWJrOc5OGl59bCx9u7dvmRsTbZIEomg28QnHeO+b3XTzbceJrALauTuTX1RG7246jmaY6advzy2h7nWG4bPvVbQM27k7c8Zixa4o+OjcybWU4KNz56WHw+rdN0WIiyVjE0Sz+H7jYd79ejddfdqRfvrPMOzVVcuRE2bCB3Xl1cfGoqLi/WKV07lFPPPuH+RaSvBw1ZBfWEpZuZ3OHTzJyi2ih58X/3hynIShaBbSQhRNSlEUvvz1AJ/G78evowcnsgrwdHOmsLiM7p3acTTDQuR1/Qnu48MrHySSdSYPF9dCgvr4UFBUyoJlBvILS3FxVlNYUk5pub26hTksoBPPPDgCd1f52ormId8s0WQUReGjn/byzW+H8PV2r3hH6KLBZrfTQetGZk4Rj901iINpeSyMNlSXe+WREVgKrSx430BRcRlqFVhL7ZSW2enq68mJrAKuGa7nyXuG4CQDrkUzkkAUTcJuV4j5LpkfNx+lg9aNrNxinDRqXJ01lNvsWMvszLotmG/WHyIrt4hbx/cmMSWTouISXF00PPvuZkpKy7ErCoodrGU2/Dp6kJFVyF3X9OOBGwfKgGvR7OSfW3HJbDY7b3+5kx83H0Xr6UJufglqFbRv50JBcRm6di6MH9qN6G/3oACvPT6WM+YSTucWMSFEy+KVW7GW2Sgrt2NXFKxlNjpVzk+efUeIzD4Rl420EMUlKSu3s+Sz7Rj2nMTDzYnC4jIUBTp5e3Aqt4gBPbxRFPhp81GuGa5n9h0hfPFLKn/szuCWsb3537ZjqDUaSqxlaDRqysrseHu5kptv5ekHRjBmUNeWvkVxBZFAFBetpLSc1z7axo79p3F1VlNWbsdmV/Bt786p3CKGBXTioCmXcpudp6aGMmFYd1avS+W73w8zdnBX1m9PQ1GgsKgMJyc1il3B092J0nI7L88OJ6h3x5a+RXGFkUAUF6WwuIyXP0zEeCQHJ40KhYrWYvt2rmTnVSzUsCP1ND27aHnmwRF0823HDxsP81n8foYFdGL7vlM4O6kpLLHjpFHhpFFhV1S4uTjx4sNh9PC7spb7F62DBKJoNHOBlRdjEjh8woxKBWqVirIyO+6uTljLyunRRcuuA1lcN8KfR+4chKuzhrVbjhHzfQpBvTpgPJKNi7OG/KIyVCpwd3WiqKSMbp28eHFmGL7e7heuhBDNQAJRNEqOuZiF0QYysgpRFHDSqLErCmq1Cg9XJ8psdjKyCpgbOZTrRvoDsH57Gu9+vZu+3dtzIC0XVxen6jD0cFGRX1RGUO+OPD99JO08XFr4DsWVTAJRNNjJ7EIWLNtMrqUEm11BrQKNWoW1zE6Xjh6cyi3Gr4MHix8dQ8/KHe427kxn6eqd9PDTcjQjDzdXZwqKywDw9nLljMVK+KAuPPWXUFycNS15e0JIIIqGOX7SwsLozRQUl1NuU1ABLi4aSqw2/Dp4cDKniLCQLsyNHFq9dP/mPRm89XnFwg7HMy24u1b0QgP46NzINpcwsr8nf79/BBq1DKsRLU/GIYoLOpCWyzPvbqKwuJyycjsArpVh6O3lyuncIiaO7kFpmY2Nu04AkJB8kjc/2U4nb3fSTxfg6qKhqKQcgA7aijCcdlMgk0LbSxiKVkNaiOK8kg9lE/VBAjabQpmtYrcJFyc1NruCq4uG0jIboQM7s3bLcaCip7mDlytvfLwNb60rmTlFuDirsVptAOg8XTAXlPDUX4YxIVRPUlJSi92bEOeSQBT12mrM5LWPtqJSUR2GalVFR0qxtRxfb3dKy+wk7TtVXaZHFy2vf7wNbTsXsvNKcNKoKS+3owCebhVjDF+aFc7g/r71/FQhWo48Mos6bdiRzuKViaiActuf+5C5u1XsZdKpgwenc4tp7+XKTWN7AxDYqwM/bz5CO3dnci1WNGoVilIRhi7OalxdnHjjibEShqLVkhaiqGWN4SjvfbMHJ42qumUIVE/N03q6cDq3iLuv7ceAHh14ddVWevh5sf/YGTzdXcgrKKXiraACqFCpFDp38OTFWaPp5O3RQnclxIVJIIoavl5/kI9+2otGXdEyVKlAUcDZSUVZuR21SoWLk5rFj47BWaNmwTJD9X4nHm7O5BeVAqDWqNCoVJSW2wnu05EF00fRTjaOF62cBKIAaq5lqFaBzf7nORWgUqkpLbMxZnBXnrhrMKfOFLHg/c14uDpxOre4uvUIoFarcKocnzh+aDf+OmUozk4yxlC0fhKIArtdYdm3e1hjOIYKsFc+JTtpVJTbFJw0KlQqmBs5hGtH+JN2Kp8XYhJQqVXkFVhxP2tIjUpV0QtdUmpj8oSKjePVMqxGOAgJxCtcuc3Ov7/Yye8704GKt37wZxgCdPVpxzMPjkDf2YsTWQUsijZQVmanyFqOq7OGklJb9ee5uWgottpk43jhkCQQr2DWMhv/+Hg7W/dm1jiuUVe0GgHGD+nGk/cMwc3ViZPZhTz33mYKS8qxltpwdlJTWm6rDlEPNydKrOXVYwyFcDQSiFeoopIyXv4gkZQjObXOKahQFIVBfX04lJ7H3mNn6OrjyXPv/UF+UcUueBUtSDtKZRq6uTphs9l5YWYYwwbIxvHCMUkgXoEshaW8sNzAoXRzrXMqwNVZDajYcygbgJ/+OMKRDAvmyi1B1WoVNrtS/Xzt4qzBxUnFCzPH0t/f+/LdiBBNTAZmX2FyzMU8/Z9NdYYhgIe7M8VWGx11bmgql/Q6kJZLXr6VsnJ7xTAc+59jEzUaFR21brw5Z7yEoXB4EohXkJPZhcx/exMnThfUed5Jo6Ks3MZ9kwbg5eGCSqVCrVZRUFxG+TnjcDRqFaigV1cdbzw5lq4+7S7TXQjRfCQQrxDHTlqY//ZGsvOKUc45V7WhXUCPDvz7bxPYd/QM+4+dwdlJRbG1vMbUPUWpGFZTblMIHdCZVx8dg7eX22W7DyGaU5sORIvFQnx8fEtXo8XtO3qGv7+zCUthaa0wrJhvDJHX9efl2WF8tnY/SftP4+ysobSsYtOos7m7arCW2blhVA+enz4Sd1d5DS3aDof5NsfGxgKQlpaGyWRi9uzZBAUFnbeMyWRi4cKFzJ07F4CgoCAiIyOJjIxs9vq2Fjv2n+blD7fUaOVVUasqhsrMmzqcwf19eTt2J5t3Z+CkUWGzVeyRfDZ314oxhvdFDOCe6/rLXsmizXGIQIyNjWXSpElotRXL0ptMJiZPnsyqVasuGIpxcXHodLrqsleSTbtO8OYn22u1Cqv09/fm7/ePoIPOjXe+3Mn67SY0ahV2O4DC2Xno5lIxde///jKMq2WMoWijHOKR2WKx1Ag0vV7PpEmTiI6OblD5KzEMf958hH+cJwz7dNcxsFcHdF6uvB27k/9tM6FSUdkqVDj7SdnZSYVGreblR8ZIGIo2rdW3EE0mE0uWLCEiIgK9/s+/jHq9HoPB0II1a50URWH1ulQ+X5ta53knjQoXJw2H080cTjeTmV1EQsrJysJUhuKf12vUKnzae7DwoVHoO3tdhjsQouW0+kDU6/XExcXVCEOA5ORkAgMDL1jeaDRiMpmq/xweHn7Bx2xHZbcrRH+bzM+Go3Wed3FSU1pup9xWsRCDvrPXn2EIcFYYqqgYdz2gZweefXAEunauzVt5IVoBlaIo9T1VtVoWi4Vrr722zqA89zqTyVQjACdPnszSpUvPW66K1WolJSWlSerc3Gx2ha8357DPVFLnebWqYgbK0D4eJKYW4OKspthqr/PaqjUQB/fy4JaR3jhppPNEtB2hoaH1nnPIQJw+fTqzZs0iPDy80WXffPNN8vPziYqKuuC1VYEYHByMq2vrbSGVWMt5ccUWjHXMS64S3Lsjd0zoy5LPkrDbFaxltjqv06gr1kKcfnMQd0zo0+w9yUlJSef9goqLJ7/bxmv1j8zniomJITIy8qLCEMDf3796CE9bkGsp4Zn3/iAjq7DWOVXFZBLunTiA0AGdWBidQFm5veask7No1ODspOa5+0cwMtCvmWsuROvjEL3MVeLj49Hr9URERFzwWpPJREBAABaL5TLUrGUczTDz6D/+V2cYAvi0d+eNJ8YxLKATzy8zUFJaXm8YqlXQzsOF1x8fJ2EorlgOE4gGgwGtVlsjDM/Xy6zT6Zg3b16tITdGo5GwsLBmq+flstV4kr/963cKi8vrPB86oBNv/98E7IrC88sMWEtt2OoYnA0VrUi/jh4smTOePt3bN1+lhWjlHCIQjUYjQI3HZJPJVH0cKjpQ5syZU92jrNVqa4WhyWTCYDAwf/78y1Dr5qEoCt9vPMzLH26tNa0OKvc/AZL2n2b5d8ksjDZgLbPVeW2Vfvr2/OPJ8fh19Gy+igvhAFr9O0SLxcLkyZPrPDdz5szqP5vNZhISEjCZTNU9yJGRkdXvCy0WC3l5ecTFxTV/pZuJzWZnWdwe4rccr/O8pmqdwkq/70wHpea4wnONDPRj/n2huMmcZCFafyBqtVpSU+seZHw2vV7Ptm3bah1vK/OWi63lvPxBIsmHs+s8r1JVLNRabK3c7ImKoTN1jSGoGmM4cXQPHp08CI3GIR4UhGh2rT4QBWTlFrMw+g9OZBXVe83gfr4UlZRxIC0PqFzMuo4wVFcOvv7LxAFMuV4WaBDibNI0aOUOpecx95+/1RuGGrWKWbcHo4LqMKyPRl2RkXMjh3LvDQEShkKcQ1qIrdj5lu4C8PZy5a/3DuPz+P2kpuWe97Oqxhg+++Ao2QRKiHpIILZSv2w5xjtf7a73fGCvjsy8LYi3PkuqdxxiFbUKdO1cWTRjtAyrEeI8JBBbGUVR+OjnvXyz/lC919w8thdXh+p5acWWOlfBPpe/nxeLZoTh6+3etJUVoo2RQGxFbDY7b32WxKbdGXWe16hVPHnPENxdnXj2vT8oK7fX2Yt8ttABnfj7/cPxcHNuhhoL0bZIILYSJdZyXohJYO/RM3We13q6sGjGKLbtPUXsrwfO+1lVPcm3je/D9FuCKnbIE0JckARiK2AusDL/7Y2czKm7J7l3Nx3zpoay4vsUdqSePu9nqdUV4wzn3jOU60b6N0NthWi7JBBb2OkzRfztXxuwFJXVeT4spAu3je/DC8sTyM4rPu9nqYD27Vx5btpIAnp0aIbaCtG2SSC2oP3HzrBg2WZKy+pegea28b3p1MGDBcs2o9jrHGddQ69uWhbNGE1HnXSeCHExJBBbyPrtJv71xY56z98Y3pOTOUV8v/FI9VS78xkV5MdTU0Nln2QhLoH87bnMFEXho5/28s1v9Q+r8fZyZf12E6WVq1rXF4ZVq1tPntCXB24KlM4TIS6RBOJlVFZu442Pt5NozKzzvF9HDzJzisjNt+KkUZ93lRqNGlQqFXMjh0jniRBNRALxMskvKmXhMgOHT5jrPD83cggjAv1458tdJBoz613ZuoqunSvPThvJAOk8EaLJSCBeBqdzi3j23T84nVt3L/GMW4NRqVQ8+dZv5FqsF/y8kD4defoB2RpUiKYmgdjMjmdaePbdTeQX1b3Uv9bThfXb0ziaYTnvdp9qNSh2mBoxgLuu7S/vC4VoBhKIzeh8w2rGD+3Gxp0nsBSWVnee1LeqjVoFWg8X/n7/CEL6+jRrnYW4kkkgNpMd+08T9UECdb0KnBoxgFvH9cbby5U1hmOUlNa9R3KV3t10PP/QKBlfKEQzk0BsBoY9Gbz+0bZaw2XUalXFJvGlNma9+iuWwlLqe/CtGlIzKawns24PwdlJ1vIVorlJIDax35JM/PPz2gOug3p3JLh3R2J/PcDX6w9WB1x9I2tcnTX89d5QwkK6NGNthRBnk0BsQr8kHuedL3fVOKbRqCrf/w1nz8Es/P28SMvMr3NYTVULclSQH4/eOUgekYW4zCQQm8i5YahSgYuTBmuZjdx8K0+8uZ78ojKcqna4O6dpqFGrUKtg1h0h3DSml+x3IkQLkEBsAr9uTasVhooCj981CG+tGyt/3MvpM1VLeyln/e+faxd28nbn2Wkj6dVVd1nrLoT4kwTiJfp9RzpLY3fWONZR5052XjH7j+diSD5JXr4VNxcNUHNoTVXHyS3jejPtpkBcnDWXte5CiJokEC9B0v5T/POLpBrHbh7biwB/b97+che/JKbRUeeGWk2NoTVVQdi9kxdzIofS39/7clddCFEHGctxkQ6l5/Hqqq3Y7RWPyFpPF3SeLtwXMRAPd2dGBHbGbreTlVuEclb/iYuTGru9Ynn/t/56lYShEK2ItBAvwsnsQl6MSaCs3I5arcLLwxmtpwumUwVMf/kXiq3luDprUKtV1Y/Izk4qysoVuvq2Y/YdIQT3kRknQrQ2EoiNZCks5YWYBAqLy0EBu6Iw89ZgBvbqSNxvB9l37Aym0wVYK6fjqQCVWoVKpeLh24O5aUwv1DIPWYhWSQKxEcrK7bz8wRZOnynCZlcI6duR5EM57Dt2hm83HOZIhhkVFWMPATzcnCgqKWdoP18evXMQfh09W/YGhBDnJYHYCKt+NLL/eC5dfTwpKinnrqv7U1q2n18Sj6P1dMXVuWLcoZeHC7n5Vjpo3ZgbOZCwkC4yrlAIByCB2EBJ+0/xw6Yj3Dy2F3uPniEju5CDplxcnDSU2xTMBVZ82ruTnVdESamNv9wQwF3X9sPZSYbSCOEoJBAbwGZXiP42mW6+7XjoliCOZlh44+NtfBq/n64+ngzq68O+ozlk5xVz3cge3D9poCzeKoQDcphAjI+Px2w2o9PpMJlMREREoNfrm63c2ZIPZXEyu5BnHhyBs5OG/v7eLJo5mrjfDrF5TwYZ2YWMGdyVaTcFyntCIRyYQwSiwWAgOTmZ+fPnVx+bPn06K1eubJZy58rLr1jWv6ColO9+P4Rhz0n2HTuDk0bN1aHduXV8H3p20TbqM4UQrY9DDMyOiYlhypQpNY4FBgYSHx/fLOXO1aurDhcnNf/5ajcf/GCkpLScB28KZMWC65gTOVTCUIg2wmFaiOc+5oaEhPDzzz8TERHR5OXO1aOLlk9eimD/8Vy6dPSki488FgvRFrX6QDQajXUe12q17N27t8nL1cfDzZlhAZ0aXU4I4ThafSCazWa02rofSc3muvc4vpRydUlJSWnU9aJxkpKSLnyRuCjyu60tNDS03nOtPhABLBZLg441VblzBQcH4+oqw2iaQ1JS0nm/oOLiye+28Vp9p4pOV/eCqVVDaZq6nBDiytXqAzEoKAio3bKzWCwEBgY2eTkhxJWr1QciVISbyWSqcSwvL48xY8Y0SzkhxJXJIQJx3rx5REdH1ziWkJBAZGRk9X9bLBbmzJlTIwAbUk4IIao4RKdKeHg4FoulekC1yWRi6dKlNa4xm80kJCRgMpmqxx42pJwQQlRxiEAELjiQWq/Xs23btkaXE0KIKg7xyCyEEJeDBKIQQlSSQBRCiEoSiEIIUUkCUQghKkkgCiFEJQlEIYSoJIEohBCVJBCFEKKSBKIQQlRymKl7LUFRFABKS0tbuCZtm9VqbekqtFnyu62bi4sLKpWq1nGVUvW3XtSSn5/PgQMHWroaQogmVt8q+BKI52G32yksLMTZ2bnOf02EEI5JWohCCHEB0qkihBCVJBCFEKKSBKIQQlSSQBRCiEoSiEIIUUkCUQghKkkgCiFEJQlEcVmdvS2sEK2NDMyuR3x8PGazGZ1Oh8lkIiIionq/Z3HxjEYj06ZNw2KxABAUFERkZCSRkZEtXDPHZDKZmDt3LnFxcXWel+9x48jiDnUwGAwkJyczf/786mPTp09n5cqVLVirtiMuLg6dTodWq23pqjgsk8nE6tWr8ff3x2g01nmNfI8bTx6Z6xATE8OUKVNqHAsMDJRHvSYkYXhp9Ho98+fPP2/LWr7HjSeBWAeDwVDrsSIkJISff/65hWokROPJ97jx5JH5HPU9fmi1Wvbu3XuZa9M2GY1GTCZT9Z/Dw8MJCgpq4Vq1LfI9vjgSiOcwm831Ps6ZzebLXJu2p6rFUhWA4eHhTJ48maVLl8rL/iYk3+OLI4/MdajqAb3QMdF4Wq22VmswLCyMmJiYFqpR2yXf48aTQDyHTqer83jV0AXR9Pz9/UlJSWnparQp8j2+OBKI56hqvZz7L6nFYiEwMLAlqtRmmEwmAgICpJVyGcj3+OJIINYhKCio+qV/lby8PMaMGdNCNWobdDod8+bNq/Vuy2g0EhYW1kK1arvke9x4Eoh1mDdvHtHR0TWOJSQkyGyKS6TVamuFoclkwmAw1Bg8LJqGfI8bT6bu1ePswasy5alpxcbGAhWPb3l5ecyePVsGajeSxWIhNjaW5ORk1q5dy8SJEwkJCSEyMrLG71K+x40jgSiEEJXkkVkIISpJIAohRCUJRCGEqCSBKIQQlSQQhRCikgSiEEJUktVuRKtkMpl48803yc/PZ9asWYSHh7d0lS5ZfHw8JpOJoKCgNnE/bZG0EEWrVLUitMFgcPi5z1XhHhQUxKxZs7BYLEyfPr2lqyXqIIEoWi29Xu/wC8eaTCbi4+OZP39+9QyRiIgIzGYzBoOhhWsnziWBKEQzWr16NbNmzap13GQyOXzLty2SQBSimRgMBm688cZax6vCUN4jtj4SiEI0k82bN9f5yD937lyioqJkQYtWSHqZhcOpWumlKlAsFkutVV6golc3OTkZf39/0tLSuPHGG6tX5k5LS2v2Jcfat28PUN2BYjabsVgsREVFSeuwlZJAFA7FZDKxaNEili5dWiMQ586dW+NYfHw8y5cvJy4urrrsddddR1xcHFqttt5d6ZqK0Wisbh1GRUVhMpkIDg5mzZo1rF69WgKxlZJHZuFQFi1aVKs1qNVqiYiI4Pnnn68+FhsbS3BwcI2yer2+ei3G5u69NhgM1aGn1+sJDw9Hq9USGRnJ2rVra61kLVoHCUThMKpW166rdTVp0iTWrl1b3XNb1yKol3P7zby8vHrP6fV6GXLTSkkgCodR1aqqqzOi6ljVO8JZs2bVGNRd1bN7vuXzY2JiqluQdZ2Lj48nNja2QWFW9f7wfPchWh95hygcRmPG7el0OpYuXcqaNWuqy1a9PzyXwWDAaDSyZs2aOgNz0aJFREREVLdMp0+fTnBwcL29xGe/PzxXVRjKMv6tkwSicBhnb61Z12ZVQPV7w6pwa8i7wvDwcMLDw0lOTq7z/Jo1a4iKiqpxfWxsbJ0DrqEiYOtricbHx1e/UxStjzwyC4dRNZWvqtV3tvj4+OqOC6gIzaboSTYajbU2dtdqted9bDYYDHW+r7RYLCxfvpylS5decr1E85BAFK3auY/JS5cuJTY2tsZxk8lUqxUXFBRU7/vAxjCZTLVaozqd7rwdNIGBgTV2u4M/hwa9/PLLDj8/uy2TR2bRKlWtEGMymViyZAkmk4lZs2ah1+tZtWoV0dHRtG/fHq1WS1paGqtWraoRXOHh4SxZsoSAgIDqY1qtluDgYObNm3fJoVTf+0yj0Vg9XS8mJqa6TmlpaTXGSYrWSQJRtEp6vZ633367znNarfa8s0wsFgtLliyp0RqzWCyYzWaMRiPTpk1j1apVDQ7Fc8PPbDbXG2wGg6H63aK0BB2PBKJoc2JjYwkKCqoRSFqtFq1Wi16vrx7P2JDA0uv1dT4en/teUbQN8g5RtDnh4eG13uGdzWAwEBER0aDPqis0ZaWatktaiKLNCQoKIioqqsY7vCpViys0ZhzgpEmTaowtNBgMdfYUG41GCUoHp1IURWnpSgjRkoxGIwaDgeXLl6PX65k0aVKt+dIxMTHVj9uyJ0rbJYEohBCV5B2iEEJUkkAUQohKEohCCFFJAlEIISpJIAohRCUJRCGEqCSBKIQQlf4fKnhjX1w1rNIAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ "<Figure size 360x360 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "sns.displot(para_dict, x=r'$\\log_{10}\\beta$',y=r'$\\alpha$',kind='kde')\n",
+ "plt.xlim([0,14])\n",
+ "plt.xticks(fontsize=19)\n",
+ "plt.yticks(fontsize=19)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Monte-Carlo Median Parameter Tracking"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "m=5000\n",
+ "answer_log = np.load('../data/n{0}'.format(m)+'.npy',allow_pickle=True)[2]\n",
+ "answer_opt = np.load('../data/n{0}'.format(m)+'.npy',allow_pickle=True)[0]\n",
+ "path='../data/n{}'.format(m)+'.npy'\n",
+ "pop2_a= list(np.load(path,allow_pickle=True)[0])\n",
+ "pop2_b= list(np.load(path,allow_pickle=True)[1])\n",
+ "pop2=[[pop2_a[i],pop2_b[i]]for i in range(len(pop2_a)) if pop2_b[i]<5*10**12]\n",
+ "answer_opt_ex = [pop2[0] for a in pop2]\n",
+ "mctracker_log=[]\n",
+ "mctracker_opt=[]\n",
+ "mctracker_opt_ex=[]\n",
+ "a_log=[answer_log[0]]\n",
+ "a_opt=[answer_opt[0]]\n",
+ "a_opt_ex=[answer_opt_ex[0]]\n",
+ "n=len(pop2)\n",
+ "for i in range(0,n):\n",
+ " a_log.append(answer_log[i])\n",
+ " a_opt.append(answer_opt[i])\n",
+ " a_opt_ex.append(answer_opt_ex[i])\n",
+ " mctracker_log.append(np.median(a_log))\n",
+ " mctracker_opt.append(np.median(a_opt))\n",
+ " mctracker_opt_ex.append(np.median(a_opt_ex))\n",
+ "np.save('../data/mctracker_log_{0}.npy'.format(m), mctracker_log)\n",
+ "np.save('../data/mctracker_opt_{0}.npy'.format(m), mctracker_opt)\n",
+ "np.save('../data/mctracker_opt_ex_{0}.npy'.format(m), mctracker_opt_ex)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "findfont: Font family ['Times New Roman'] not found. Falling back to DejaVu Sans.\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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HXHa8B9zHaDQGnfjXN1CncwNDp9Nh1apVfu/t27cvrH11V7bRaEyqy15JEYo6na7L55YajUZUVlYGvJ8MvyqIiPqLzl2rDocDeXl5EEWxxz1x0VxjTISEX1MkIqLEcrlc2LNnj9/EDD7R3toQTtnJKClain0SLyoSUT9hNpuDdqfGojcuVNnJii1FIiIiBUORiIhIwVAkIiJSMBSJiIgUHGhDRBRjaWlp2Lt3b8zLbW5uRnp6eszL7cvS0tJiWh5DkYgoxiZNmhSXcquqqjBz5sy4lE3t2H0aNd6TQUTU3zAUiYiIFAxFIiIiBUORiIhIwVAkIiJSMBSJiIgUDEUiIiIFQ5GIiEjBUCQiIlIwFImIiBQMRSIiIgVDkYiISMFQJCIiUjAUiYiIFAxFIiIiBUORiIhIwVAkIiJSMBSJiIgUDMVoaRJdASIiijWGIhERkYKhSEREpGAoRo39p0RE/Q1DkYiISMFQJCIiUjAUiYiIFAxFIiIiBUORiIhIwVAkIiJSMBSJiIgUDEUiIiIFQ5GIiEjBUCQiIlIwFImIiBSpia6Aj8PhAAC43W4AQGFhIXQ6XbfbSJIEnU4HSZJgs9niXk8iIuq/kqKl6HA4YLVaYbVasXbtWhiNRqxevbrLbdavXw8AsNlssFqtEARBfY+IiCgaCQ9FSZIC3rNarRBFES6XK+Q2Tz75JKxWq/qexWLBc889F7d6EhFR/5fwUBRFEcXFxQHhKAgCRFEMuU2wrlW9Xh8ySImIiLqT8FA0Go0oLy8PCDlRFGEymSIqy3dtkYiIKBpJMdDGaDT6vXY6nRAEIeD9zuv7Btn4iKIYsnUZSnV1dYS1beeRPOo8w1VVVVGVMRDw2ITGYxMaj01oPDahxeLYJEUodiRJEsrKyrB58+Yu11u3bh02btyIoqIiAIDL5Yq4ZQkAJpMJGRkZEW+3/VglUNf+79mzZ0e8/UBQVVXFYxMCj01oPDah8diE1vHYNDU1Rd3gSbpQLCkpQWlpabe3Y1gsFgiCoF5DNJlMEEUxZOuSiIioO0kVina7HTabDYIghLV+5wD0eDxRtRaJiIiAJBho4+NwONTWn09XI0mdTqffa5fLhfnz53fbwiQiIgolKULRdz3QF4iSJPkFoiiKKCgo8BtZWlZW5jeo5tlnn1WvL/YKTe/tioiIekfCu09FUUR+fn7QZZWVlQDaQ7KiogIej0dtCRYWFsLlckGSJNTW1qKoqCjsblciIqJgEh6KgiBg3759Xa5jNBrVgPQxm83xrBYREQ1ASdF9SkRElAwYikRERAqGIhERkYKhSEREpGAoEhERKRiKRERECoYiERGRgqFIRESkYCgSEREpGIpEREQKhiIREZGCoRg1TpNBRNTfMBSJiIgUDEUiIiIFQ5GIiEjBUCQiIlIwFImIiBQMRSIiIgVDkYiISMFQjBLvUiQi6n8YikRERAqGIhERkYKhSEREpGAoEhERKRiKRERECoYiERGRgqFIRESkYCgSEREpGIpEREQKhiIREZGCoRgtPueNiKjfYSgSEREpGIpEREQKhmICybKM46fPJboaRESkYCgm0KvvfIa7HnkDn3/pSXRViIgIDMWE+uiTkwCAo6fYWowlWZYTXQUi6qNSE12BgeroqXrsch9VXvFLPFZOeRqweu3r6uuffHMuzBeNTWCNiKgvYSgmiO2X29R//3JzJV59YlkCaxN/sixDo4nvfSxnpEa/QASA//6/SvXfN14xEbabZsS1Dsno6Kl6GHIykJke+//cf15WgQ/2HVdfv7z+Rmg0iPvfur/xemVotTxmyYCh2Mt2f3oSP/2fnYmuRo/s+PAwHv/z+1j/vStwwTgDNv/DjTss05CV4X867XBLyBlxBk0tbepnfqXkxph9Yd5w/8tIS9Xi0e9cjvtL3/Zb9uh3LsePf/+O33uv7PgMX7t8IsYMz+7xvp98uRoTz9Nj4Rwh4m13fvQlShyHUT5rVtTH4lxjC7IyUuH1ynjimQ+w49+H/Zb/+BtzsWDmWNxw/8vqe/ffPgtzpo/G4Kw0AIDroy/VHw3fWDoNf9qyN+i+HvrWPFxqHA0A2H/oTMCx7mhZ0SsRfY4/PLAQY4Zl46YfvQoAGDs8G7brDBGV0VOyLOPFfx3AqdoGrFl+EeobWuA524Qxw7O7/PvIsgxZBrRaDbxeGSdrG5CTnQ4N2n+Mnag9h//50bX4+IvTKPrtjoDtp58/FHs+Px15hZ+pAQDMvHA4fmGbj9SU9qtgXq8MWZaRksKrYj2hkQfoBZimpiZUV1fDZDIhIyMj4u1/5dyIdz3/BgA8Z/1D2Nt1/JLqqCctxY6/1n9huwyzp46KuqxQGpta4di2Hy/885Mu11s4R8A/3xdDLs8zT8DY4YPx6eFa3H/77O7329yKL45ImDp+KADg2/+9DUdO1ne5zTzjaDz4rXkAgF9ufg8Vu4/4LX/0O5fj/LE6ZKSnQttNq+bLE2ex5tE3ccvCC1H+r0/g7fRfS+7oHJw914zTUhPuyJsK66IpkGUZtz24BfWNrd1+PiC8v/3HB0+jaEPgF2uyePJn1+HuR96IW/nTJgzF49+7Qn0tyzIOHavDplfdqPq4/dx/MP9S5GSn44HfvROqmAEpzzwBa26+CClJ2BL1/bg7LTXilKcRgzJTMTgrHbrs9IhbzlVVVZg9u/07pSff7wzFqEOxDO96PgQQm1B8af2NUZ+0ncu86pJxOOlpwKPfuTyq8jqX+T8/Woh7H/9n1GV1J1go/P2dz7Dxb7sjKufX378KkwRD0GWyLOPGwsBWTGZ6Cp7/76+pr89IjaioPoI/vPhRRPvuqb+uy8OgzDT1i8D92amAlm60/rI2D18v3hr2+o9/9wpMO38o2tq8aguus0VzczH/ojEwTRyGQZlpAcvbvDKamluxxfUFXn77U1xmGoOvL5mK/3rqXRwQa7HksvF47d2DftsMN2ThZG1DZB+uD5k0To8DNe0jzb9760wsuWyC3/JPa2rx/V+/heK75uHoqXMoe+mr83+4IQv1DS248VI9br9xAYp++zb2H6qNeR1//I25qPr4GGZeOALzTKORmqJVW6Kh1De0IDsrDa1tXtQ3tODOXzgx/fxhsFw2Hn957eOoBxJG2lBIaCi+9tprqKmpwZIlSzBu3Di/ZRUVFZgxYwYGDx4cabG9KtlCcf6MMfjp6ksjrkfN8Trc81jwwLr/9ll44pkP8KvvX4kLhSFhl9nc0oYVP/57l+s8/t0r8KPfhd9yucw0Gu9WHw25/Jl1ecgZlA4g9DHqzLbMhBmThmOEIcsvUEJpaW3D8ge6/lzhus96Cf76+sc4fqb7L/GbrroAL731qfp6whgdVl+jg/tYFp5/s+uWd2eOR5aq3dTRdL22tHrx4f7jWPfULvx1XR4GK8c8mVRVVWHmxZegYvcRpKZoMGPSCNz24JaQ69+9zIQnX64GAKRoNbhu3ng4K77ApdNHo/CO2ajYfQSDs9IwZ9ooNLe04URtA4bkZIT12RuaWrH7wEm0tnnhlWW89NaneODOuRgxJCtmnzcSHb/4u3LiTAMef7oSY0cMRt25ZlTuORaT/c+fMQZer9xhkGBsaLUaZGemYcakYXh/zzHccMVErP6aMaIykqKl+Nprr6G6uhpr1qzxC8EnnngC999/f0RlORwOAIDb7QYAFBYWQqfThbUNABw6dAhr1qzpdhufRISi1yt3ec2l8y+jxuZWHDpah8m5/oEm1Tfj0FEJpguGhx0g3f3qWlb0CrxeGS+tvxE3hajj/V+fjSf+UoXfFl6DCWO+Os5npEYcO3MOU8cPxa7qI9j09z145B4zPv/EjTlz5qjrvec+inV/3IX5M8bgZG0DPhFru633d2+dictnnodVypfi5FwDnrjvqjA+cfeeeqXaL6w6e/oXFmSkpwRcK40F33/AXf2o8RmclYb//fG10A+O/Dzti8L94h+IenJsGptb8WaliNHDBmHCGB2G6bPQ0NSKn5dVYMzwbPWyh3HiMBw7fS5oq/28EYORkZaCz7q4t3pITgbO1DXhqkvG4YqLx2LGpOHY8/lpZGemYZKgR4pWG5dBRbEKxR79175kyRIIgoD169fj8ssvx7Rp01BXVwePJ7Kb0R0OB6xWq9/r1atXo7y8POQ2drsdVqvVLwQLCgqwYcOGyD9IL3nyleqI1l/1sy1o88rYcP/VOH+sXn0/kq4wnxvufxk3XDER3w4y+vJcYwu8ysWyUIH48P8zY+aFI3D1rHEBy4boMjFElwkAmGcag3mmMQCALzq1ZC41jvYL5+4GbXRcNx6jc++60QRddro6wESjAV4p6d1RwONG5vh9tjavDA3AkYgUc5npqbh+wfl+72VlpKrXan9w26y47XvOtNiPc4iXqELx9ddfx/r161FT0z4KSpZlOBwOaDQa6HQ6rFu3LuyyJEkKeM9qtaKkpAQulwtmsznodrt374bNZvN7TxAESJIUdmuxt72647OA98wXjYHroyNB1m7/ggSAn/z+HVw2YwxuXzIVdz0cfDCD45GlyEhLCXkNyLf/RXNzMVSXCUNO+6+nrgZwlD92A1JTNHEbXj85dwhefWIZDoi1+MFv3vJb9vwvr4/LPju79drJuPXayWhsbo3LLQuRSsbBEEQDScTfAq+99hpKSkpgtVphNPr3+foCbvHixWGXJ4oiiouLkZeX5xdmgiBAFEOPYqypqYHb7farQ11dXdIGYjCvPrEMn9bUBg3Fjt2i9Y3t3R5vVgY/Hn9Zm6cOdrjykvPw9oeHMWvKSL/7x3zu+9V2dd9NLW0hA/GGKyYiLbV3hnZPEgz43x9fi2H6zIQFUzIEIhElXsTfBNXV1XjjjdBDr1977bWIyjMajSgvLw8IM1EUYTKZQm63bt06rF69Gt/+9rdhs9ngcrn8umCTydFT9TgtNaqvZ1wwHL+8dwGA9lFlnUVymbdzt2LRHXNQdEf7dTzP2SZ8dOAkHn/6/YDt/rx1Lxzb9vu999eHl+Jv2w/g+OlzQbtZ4+m8Eck9MIuIBoaIB9o89dRTuOuuu7pc5/nnn8ett94adaWcTifKysq6vKYItAfn8uXLAQClpaUhu1qD8V2IjdbLB97Ex/gcAPDApLvV98+cbUXpK0dx1+IREIa3d1H+QrnZ1qfw5jEYnJWivvYtT0/V4ApjDt78T2CXcjATRmVg9bUjul3vw0/rMTQnFZu2nQi5zneuH4UR+sCh9UREfVWvDLTZvbv7e8d6cuujJEkoKyvD5s2bu1xPFEU4nU68+eab2LhxI/Lz87F27dqIW4vRjj5968T7gDKeqONosK2uzwEcxeG6bNy0ZGb7m51C8arLO916oSxvbpW7DUStVoMX/vtrEXVt+qo362IJ3yv5V8Dyv6zNgy479kPzOYowNB6b0HhsQuOxCS3Y6NNoRHzRyGw246mnnupynZ4MzCgpKUFpaWm31wbtdjtsNht0Oh2KiopQXl6uDs5JJN8TT2I1NmXFNZMAAC89fgNefWIZXl5/Y9TX+iaM0eHVJ5bh53dfpr7neGRpXAKRiKgvivjbdeXKlfjoo4/w/e9/Hx9//HHQdQ4dOhRVZXxBJwhdP08y2KhUo9GI0tJS7NyZ2OeK+lrJWiUVO98H98g9gV28088fGrSsh741D6u/ZsSrTyyL6fMM50wbhVefWIZXn1gW9GkkREQDVVRD7kpLS1FQUICbbroJubm5MJvN6ijQnTt3YsaMyAdpOBwOWCwWv0Ds6paMYEwmk3rzf6L4Hk32xZH2btCnOt2beNGkwGuAa9eY8cKbn+DZN/ap7z101zxcOn10HGvatSNbnPhso119fclvf41Bubn4dKMdR7c4A9ZPGzIELWfOYMoDhdj3WAkWvPwiWt7cjrbp05GS9dVgIlmW0VBzGI1Hj2Lo3Dl+ZXhbWqDRatHW0ICWurNoPnkSOVOnQJvG4A6HLMs4U/k+pL0fo/HYcYy46krA60XDkSNoq69HzQvlOG/5TRh5zVVoOnkKZw98iraGBtTt/wSDJ12A1OxstNbX48uX2u9VHW1ZjMEXXgjIXhx9fRvScnIwaHwuUrKy0CLV4djrbyBNr8P4O78ObVo6UrIHQTd1CjQpKdCkpHRT20DelhY0nTiBlje3w/3KPzB6aR40KVo0HjmKoXNn48SOncieMB4n3m4fMT3ssnk488G/0XzyJPQzTBh+uRmalBSkZA9GSmYGNFpt+0O7W1uhSU2Ny61FvvK9zc3K/1rgbW7GuYMHMSg3F5mjR6G1vr5DXdqQkpmBlKysgGMkt7XB29oKua2tvcyWVsitrcq/m6HNyIT35EnUf/EF5NY2Zf0WtNWfQ/OZM9CkpiJrzBikDs5G4/ETSNPrkT5kCLQZ6Wg71wBvSzPSdHpotBrIsozU7Gx4W1rQerYeclsrmk60b9Mq1aHp1GmkDzFAm5GBlMxMNBw+jIzhw5GaMxjelvbP2NbQiOPb/gnDJTPRItVBbmvF6V2VGDpvrvKJ2o+3etzVw9/h76DRQON7oHljE7wtLZDb2mC4eCZ006bG/O8Vjh490cblcsFut6OiogIAoNPpsGbNmm4H4gQrR6/Xq8EqSZLaH2w2myGKItavX4+HH35Y7VYNdqN+sBv6Q4nXA8E73kqROzoHh47W+W3X1U3ovm2ffXgpsrN6JwjktjY0HDmK/9z/Iwy5ZCZOVezqlf3GQsbIkWg67n/biTY9Hd7m5rDLuPC+76L+4CEMX2BG85la6KZNaf/CSk0FZBlnPvgQhpkXQfZ6Aa8X0GjQWncW0GqhSUmBNi0VKZmZIUOg9Ww92pqacPbAAWSNGY36Lw6hpbYWNXUSRqek4vR7lWg8ehRt9e3Ph8y+4ALUf/ophsyehTNVH6jlDFswH2k6Hc5++hnO7o/s0XCJoklNRZq+/aET2rQ0eFta0HzqVIJr9RVNaqoamBnDh6HxaNePQssSxqnBJyvBEMm5RuEb87WlmGiLLEeS4ok2ZrNZbcnV1dUhJycn4jJEUUR+fn7QZZWV7dPaSJKEiooKeDweNfAefvhhrF+/HgaDATqdDpIkwWKxJNV9ip0D8fdF13S5/ubixUhN0cYtEBuOHIW3qRH/vi/4I/hCBeL0XzyEPb8I/4EMXUnNyUFrXV3A+2kGA1pqayMqq3MgAoj4S+qT0t8BgNo66k3B7jqt/7S9u71jIALAqZ0VSNXp4G1qQppejyxhHKRqN4ZeNg8pWVlolTw4U9X+2MFUnQ6DJ56P3K/f1t5q02qhTU8HtBqIjhdw4l/bkTl6NEYuWoj0IQZkjBwJbXo6MkYMR8PhL5EzZTK0qamoP3gIKZkZaD5Ti1MVu5A5aiRypkxG1tgxaD59Gi11Z6FNT0dbQwO+fPlVnHm/Sq2vbvo0ZJ9/PtqamgBZRvOpU0jNGYxTFbsgt7bPHjJswXyc2lkRcAw0uQLkQyLOvzsfGSNH4suXXkGaXgdtegZGLbkOn5U9iewJ45E+dCg0Wi1qXijH4EkXICU7G1ljx+Lo1vaejOFXLMDJHe2XUzJHj1JDb9D4XJw7eAhDZl2C0+9VImfqFNR//jnShw1F86ngUzlljByBQYIAbXoatGnp0KanQ5ueBk1aGlIyMqBJS2tflp4Ob3MLTr+7C7LXq/Z0pAwaBLmtFV/88f+QNW4cGmpqkKbXI2PUSDQcPoxR1y5EyqBB0KalQZOWCm1qanvrNjUV2tQ0yN42eJuacejYUUycdKHyfnuLvK2pCSfe2oFh8y5F67l6aDRaNB4/jlMV72LElVdAm5aGg0//BQAw5vo8ZI4eDW9rK06+/Q7qP/8cY5fdAG16OmqefxGj85ZAN21a++fLSIfc2oq2xiY01NQgffgwaLQp6ufUpKZCcu+B/qIZaD51CoPGj0fq4MFIy8n5qjGoNrna/+HXBlP+Kbe1nw/ajIz2z6+cs4nCWTJi+OxTb2srlj3wj6Dr23+6CKOHfTWPn7elBc1nziBjxAhAlgGNBnJbGwDg5I538Mlvfquumz5sKM67+SZ8/uQfAQBD5szGmferkDZkCC567JdIzRnc3mpJT0dDzWF8+N37kJKVhbaGyGccmLD6Gxi91IKUKI5JZ7EaKec7RTUaDZprPfA2NSJzVOBjo3zrtXgkpBv0Acs7amtsxKl3d8Hzn49w/J/bMXLRtTh38CDSdDlquHSkTU+H7PVi1OJFOP3e+xh66RxknXce2hoacOz1bYEt1szM9m6wtjZkjR2L1OxsjLjmSjQePQaNVosTQ4dgmnE6ssePh7e5WQktbfu5IMvwKl1yZ/d/guwLJiLdYIjy6PU9HGEZGo9NaEnRUiR/FSuswKRvBF02Ysgg9d+uW1ZBbmkJu9zmU6fVQASg/iJvOXMGVd++J+g24QTisPnzMOWBoqSfJb1j/drDLnjg+dbrLhABICUzEyOvvgojr74KF973vYjqc8GaTo8XvHVFRNsDwKmqKgyeOLG9Lh2uufqGLaekpCAlIwNDZsfveZREFIihGEMn00J/GfueaXnkH1siCsSeGv/NO2G4+CJkjx8f1eAHIqKBhKEYQ5WGaSGX1X1yAB8VPuD3nv6iGfB8tBu5t6/CoNxcnHr3XYxadC10JmNUrTfZ601oXzwRUV/HUIyhNLk15LLOgWh+6YWA4Bs2f16P9s9AJCLqGX6LxsjOZSsw8dyXYa0775k/Jf11PCKigYgtxRjyovugW/Dyi71QEyIiigZDMQYaGpvx9tCL4Rp6UdDlw5prAQAzHn2kF2tFRESRYihGq0Oj8Ik/7sSuEIE4ve5zLD2+E1N+dH/CHltERETh4TXFGNj1aejpnqbXfYZxSxZh+ILwn+FKRESJwVCMo1m1H2PSucO44J41ia4KERGFgaEYR5fW7oH5b88nuhpERBQmhmIcjBs5GABw/Yv/x3sHiYj6EA60iYPfFS1UH+tGRER9B5sxccBAJCLqmxiKRERECoZijD323csTXQUiIooSQzHGpp8/LNFVICKiKDEUiYiIFAxFIiIiBUORiIhIwVAkIiJSMBSj9tW9iBPCnFyYiIiSG0MxBr4YNDbRVSAiohhgKMbQT745N9FVICKiHmAoxpD5IrYYiYj6MoYiERGRgqFIRESkYCgSEREpGIpR0nB2KCKifoehSEREpGAoEhERKRiKRERECoYiERGRgqFIRESkYCgSEREpGIpEREQKhmKMGCcOS3QViIiohxiKMTI4Ky3RVSAioh5KTXQF+osjp+oTXYUBqbWtFbe/8D31tQYaPHDFvZg11pTAWvU+WZZxpsGDoYMMMS/7zU/fwZb9/8SRsyfw6HU/Rq7hvJjvoz9pbm3Gv4/uQYo2BcOyDBhvGAdNN4/A+vjEARgydRidM7KXakmhMBRj5LpLcxNdhQGnxnMEP3Su9XtPhoxHd/weAPDza34A48jJUZfv9Xqh0Whgfe5eAMATlocg6INPD9ba1gqv7MWOg+/h8vGXIiM1Ha5DVfhNxZMAgLtnr8LiSVeFvW9ZlnH07AnY338GK4xL8V//+rW6bPGkK3H87ElYZ9yIiUNy0dDaiNXlP1SXP7vy99Bq2juBTtafxr1//xkAYNnUxXj549eD7u/ha4swefhEtHnbUL5nK553/yPoeoWvPRz2ZwCA2y+6CUsvvAZ3vHgfACBXfx5KLA+qy4/WHYenqQ5Thl8QUbkAcK6lAbIsY1BaFtpkL1K1KTjX0qAei8UXXIk3PtsBWZaDbv8D892YL8xWXze2NGLt9lIcOP2F+p45dw5ch94P2HbxpCvx+oG3I65zTBx4Et+ffxfMuXMSs/8Qtn9eAV3GYHxy6gu8uGdLj8q6c+YK3DB1UYxqFhmNHOqM6eeamppQXV0Nk8mEjIyMiLf/9et2VJz5AADQ8J4F/+/mGbj+8omxrmaf0+ptQ3NbMz459Tkeeeu3AIDvXPpNDErPggYazDnvoqjLbmptxq6aDzE0y4C123/jt+zGqdfB+cl2NLe1+L2/+eZfYVB6Vljlf3r6IH7yxqNh1+cX1/wAX9TWYPOHz4e1/szR0/CzqwoAAFVVVZg9u/0LWZZltSWx0nFP2PvvTWvmfB0b3/9LXPfxQ7MNM0dPx1uVO/BHsTyu++pPvnHxLfjTv1/we29Y1hCcajiD+xd8G1Vf7sbpc7WYNdYEc+4cZKSkIystM2hZXq8XZxo9GDZoCDyNErQaLe56qQgrpi/tcdBF4hbjUqw03RDRNh3/m+rJ93vShKLD4QAAuN1uAEBhYSF0Ol3I9fPz8+FyuQLW0ev12LZtW7f7i3UofvumGbjhiv4bih8d3YuH39oAACi++j6s3V4adVkPXHEvZo+dEfD+l9JRfH/rfwEALj3vYhRevgZvf7ELv9u1ucvynrnlt0hNae/0kGUZx+pPouAfxUHXXX3JrVg6eSEAwNMowfbyA1F/jt42Kns4cg3nofLwf4Iuv3PmCjz9nxfDKus7l34Tc8+b2f7F6VwXsHxB7hzYZt8e8geFLMto9bbii9oa/PMzF7JSM3DnxSvQ5m3D7S98D7+45gfY9MFzOOg5HP4HjJPbZizD6JwR+LXrSUwbcSFON9Ti2NkTIdd/8KoCCPqxKHnnfzEmZxSqjuxGffM5/HLRA9BqNPjjB89h/6nPME43Bo8s+hFStClIT0lDc1sLUjUp0GrjM1TD99/CoLQsnGtpiMs+4mHRBVfANvs2HDt7Agc9h2HI1OFs8zmcbxDw6I7fY+nkhbj6/Pnwyl61hyMa/SoUHQ4HrFar32uHw4Hy8tC/FtevX49Vq1ZBr9er74miCFEUYbFYut1nj0PxjSdRcboKQHso3r3MhGVXRtYFdLapHplpmUjVpkS8/950trke3/pbYUzL3HTzE8hOH6S+/rXrSVSIVRGVsX7JzzDeMC7oMlmW1W7PzpZPt6B8jzNkuTdOXYw3P92BTct/hdoGD3IyBkOj0eDRt3+PWWNn4JrzzbhT6Q70+fMtG5Ce8tVgq6bWZrTJbRiU1h4qD7z2S3xeK4b1uX5otuEyYVZY6wbjlb3404cv4HDdUayZeweGDxoadVm9wSt7UfLORrz/5Ud+788eOwMPXHEvWtta8af/vAjnJ9txi/F6rDR9zW+9ji3t/q7jF39jSyO+Uf4Dv+VP3bQed71UFLDdHTNvxp//87ce7//R636M83RjIDXVYVjWEPW4J8Px7zehKEkStm7d6heKADB37lyUlpbCbDYH3UYURRiNRr/3O4drV2Idit+6wYibr54UURkrHffg8ty5KJj/rYj3Hy+t3ja8fuAtWCZdDa1WG1V33r2XfgO6jBw01tTh0tlzkf+3+7Fs2mKkalPxzEcv9ah+f731dwCAlDB/SBw/exLvHf4PstOy8IfKp4Ouo8/UoezGRyFD7tEv1e7IsowdB9/D6MEjULrjSQjDx+HqCZdh3rhL1Gti5P/lRv7idWx62kpLBrEKxYQPtBFFEcXFxcjLy/PrChUEAaIY/Je1TqcLCESn04m8vLy41rUrXm94vy0OnPoCpxrOYM7Y9mtr7xyqxJq5dyAjNT2e1Qvb7c9/FwCCXie7csI83Gq8Ht/7RzH+cssGaDVaNZyC/VqvOlKF1JRUPH3LV12ts8aYuhys8fjin2LCEAFe2YvT52oxKC0r7GuCwYwcPBxfm3KtWv/blM8HAD+98nu4eMx09bUG8f21q9FocOWEeQCAb+Wu8PtyS9UwEClx+nogxlLCQ9FoNKK8vDzg2qAoijCZwh9W7/F4urwGGW/eMBvcP932GID27kMfT1MdRqYm/ub/xpbGkMuWT8+D1XQDNBoNnrP+IWB5uN0nuYbz8Jz1D2hoacQ3O3X9PHvr79XrMVqNFsOzY9vtl6JNCVp3IiKfhHefBuN0OlFWVtblNcWOHA5HQEuzO77mdbRe+exf2Ov9FEB79+nCmTpcaex6/6ebPbAfam+BzR9yMSrO/Ftd9sCku6OuS0dtshcpUf7q+/ux7XDXHQh4P1Z1IyLqTX2y+7QzSZJQVlaGzZs3h72N2+0O+1piZ9FeU3z79IfA6a9ejx0zFrNnT+lymz9WOdR/72v8wm9ZtNcJSiuewk7lPqrs9EGobz6HjNQMPL3iN2Ftf+zsCew+tg+fnPo8IBBXzbgRy6dH3yXNa0Oh8diExmMTGo9NaMGuKUYj6UKxpKQEpaWlYbf6nE4ncnJy4lyr7oVzTdF5YLv679MNtT3epyzLaiACQH3zOQBAU2uTOkAmIzUDTa1NeHpFKdJT0vy6OfPLf4j6IEO7O978TUQ0kCTVN5/dbofNZoMgCGFvs2XLFhgMhvhVKkxD9aEHg7xzsDJmN2WvdNyjlhXqloOOmlqbAAB3vngfrM/dC1mW0dzWgpWOe4IH4q0MRCIauJKmpehwOGCxWPwC0eVyBb0lo6M9e/Zg6dKl8a5etxbPa3/M29b9/8KmD5/Dn1eUIj01HfXN57Dh3T92u/1Kxz0oWfIgfrLtMbR0eCqLBhrICGyFdgxZjUYDx8r/wZ0vfh+y7A14qktHwYLUOHIy3Mf3cxAKEQ14SRGKLpcLJpNJDURJkvz6g0VRxPr16/Hwww8HHaWayFGnPr5uyfK97TeF17c0ID01HZs+eC7sMoLdqhAsEDt7evlv2v9fuY54tqke/z66J6ww7up5nkREA03CQ1EUReTn5wddVllZCaA9JCsqKoLediEIQkTdrfHmlb0AAK0Skp1Dzdca87X0FuTO8bsuGKm7Z9+G9E73OA7OyMbl4+cCAKqPfYz/d+mdQZ/wwpYhEZG/hIeiIAjYt29fl+sYjUY1IDsL5zmnvcl3h4vvutyOg++py0wjvxqd+tDV92FIph5nm8+FHYo/NNvw2ZlDeGnvazjfIOCaiWYsnnRlyPUvHz9XDUeNRgOzMBsu5VFqf75lQ2QfjIhoAEh4KPY3stJSDNbp+eMrv6P+e8aoqWGX+fNrfoApwy9AqjYFlwmzcPtFN0VVt/vm34U7Ll6e9M/CJCJKFA4zjDHfiM6WIINdOj4wuqPHF/8s6Pvj9e2TuRpHTo7JczE1Gg0DkYioC2wpxsnvdm2G+/j+sNadMMR/pgde6yMiSgyGYgzt6RCCnQPx8cU/7XLbP9+yAeeaz8GQpe9yPSIiih+GYoz8btdmvP3FrpDLJwzpeoRsekoa0hmIREQJxWuKMdJVIBIRUd/AUIyBJ+4LfVsEERH1HQzFGBgxJPpJcImIKHkwFGMh6WakJCKiaDAUY2SCYVzIZcVX39eLNSEiomgxFGNABjB9xIVBl5UtewymCJ5eQ0REicNQjJFzLY1B3zdkJn4GDyIiCg9DMUa2f1GR6CoQEVEPMRRjwDczRmd3zLy5l2tCREQ9wVCMsSEdnkpz49TFCawJERFFiqEYY+sWFia6CkREFCWGYgz88+Bb6r9HDh6ewJoQEVFP8IHgUdJoNOq/n9/7st+yxxb/FFlpmb1dJSIi6iGGYhyc382MGERElJzYfRolPtmNiKj/YSgSEREpGIpEREQKhiIREZGCoUhERKRgKMbQsyt/n+gqEBFRDzAUY0ir4eEkIurL+C1ORESkYCgSEREpGIpEREQKhiIREZGCoUhERKRgKBIRESkYikRERAqGIhERkYKhSEREpGAoEhERKRiKRERECoZilDSJrgAREcUcQzFG5pw3M9FVICKiHmIoxsjU4RMTXQUiIuohhmKMvOjemugqEBFRD6UmugI+DocDAOB2uwEAhYWF0Ol03W5nt9uh0+mg1+sBABaLJX6V7KC+tcHvdUNrY6/sl4iI4icpQtHhcMBqtfq9Xr16NcrLy7vcrqCgAEVFRRAEAQAwZcoUVFZWhhWmPdUqt8R9H0RE1LsS3n0qSVLAe1arFaIowuVyhdzO4XBgxowZaiACwLZt23olEImIqH9KeCiKooji4uKAcBQEAaIohtyupKQkoKu0Y0D2tqvPn5+wfRMRUWwkvPvUaDSivLw8oIUniiJMJlPQbSRJUkPU6XRCp9PB7XbDarX2YkvR/07FacMn9dJ+iYgoXhLeUgTag7Ejp9MJQRAC3vcRRRE6nQ6SJMFiscBsNsNqtWL16tW9UNvgdh/fl7B9ExFRbCS8pdiZJEkoKyvD5s2bQ67j8XggSZJfd6mvhehyuWA2m8PeX3V1dVT1PHv2rN/rdw6+hwVpF0VVVn9WVVWV6CokLR6b0HhsQuOxCS0WxybpQrGkpASlpaVddoP6wrDzOnq9Hm63O6JQNJlMyMjIiLief/vyLeCc/3uzZ8+OuJz+rKqqisckBB6b0HhsQuOxCa3jsWlqaoq6wZMU3ac+drsdNput2wEzXS3vrWuKrV7Z7/V3563ulf0SEVH8JE0oOhwOWCwWv8Dr6pYMo9EYMDq1q8E58WbI5K0gRER9XVKEosvlgslkUgNRkiS/QBRFEQUFBX63bRQWFsJut6uv3W53l4Nz4s0ry92vRERESS3h1xRFUUR+fn7QZZWVlQDaQ7KiogIej0ftHjWbzZAkSQ3G2tpabNq0qXcqHYQMb8L2TUREsZHwUBQEAfv2dX07g9FoVAOyo956zmk4RmUPT3QViIioh5Ki+7Qv0nS6eX9Q+qAE1YSIiGKFoRgjXpndp0REfR1DMUa8XoYiEVFfx1CMkVa5LdFVICKiHmIoxojXy1AkIurrGIoxkpWWlegqEBFRDzEUo+Y/+nRIlj5B9SAiolhhKBIRESkYikRERAqGYpQ03a9CRER9DEMxSnz8NxFR/8NQjBJbikRE/Q9DMWqMRSKi/oahGAM/u+p7ia4CERHFAEMxBkwjpyS6CkREFAMMxSh17DzVaNiVSkTUHzAUY0Cr4WEkIuoP+G1ORESkYCgSEREpGIpEREQKhiIREZGCoRg1jjglIupvGIpEREQKhiIREZGCoRgldp4SEfU/DEUiIiIFQ5GIiEjBUIwaO1CJiPobhiIREZGCoUhERKRgKEaLvadERP0OQ5GIiEjBUCQiIlIwFImIiBQMRSIiIgVDMUoaDUfaEBH1NwzFKGlSUhNdBSIiijGGYrTYUCQi6ncYikRERAqGIhERkYKhSEREpOizoSiKIlwuV6KrQURE/UjSDKF0OBwAALfbDQAoLCyETqcLub7b7cZDDz0ESZKg0+lgMplQWFgIo9HYK/UlIqL+JylC0eFwwGq1+r1evXo1ysvLu9yusrJSDUUiIqKeSnj3qSRJAe9Zrdawu0cZiEREFCsJD0VRFFFcXBwQjoIgQBTFBNWKiIgGooR3nxqNRpSXlwe0+ERRhMlk6nLbji1Jt9sNm80W9n5lWQYANDc3R1DbrwzSpkOXOhgA0NTUFFUZAwGPTWg8NqHx2ITGYxOa79j4vtd93/OR0MjRbBVnTqcTZWVlXV5T9LUiBUFQXxcXF2PTpk1h7aOurg779+/veWWJiCgpTZ48GTk5ORFtk/CWYmeSJKGsrAybN2/ucj1fGHZ8LYoi3G53WCNQs7OzMXnyZKSlpfHh3kRE/Ygsy2hpaUF2dnbE2yZdKJaUlKC0tDSqATSCIKC6ujqsUNRqtRH/giAior4hMzMzqu0SPtCmI7vdDpvNFtAK7EwURUyZMiXoMr1eH4+qERHRAJA0oehwOGCxWPwCMdQtGXq9HmvXrg14P9xWIhERUTBJEYoulwsmk0kNREmS/AJRFEUUFBSot20E61p1OBzIy8vrtpVJREQUSsKvKYqiiPz8/KDLKisrAbSHZEVFBTwejxqIVqsVdrsdOp1ODctgrUciIqJwJeUtGURERImQFN2nREREyYChSEREpGAoUq/g/JcUKZ4z1BPRnj8JH2iTzBwOh3rfoyiKYT1bNZpt+qJIP+dAmv/S7XZj48aN2LBhQ1jrD5RzBojs2AykcwaIfE5Z3zYD5dzprTl3GYoh+P4AFosFwFfPVu1qhGs02/RF0X7O/j7/pdvtxpYtW2AwGFBTUxPWNgPlnInm2AD9/5zxiWZO2YFy7gC9O+cuu09D6PxHEASh26Z4NNv0RT35nP35y81oNKKoqAhmsznsbQbKORPNsfHpz+cMEP2csgPl3OntOXcZikFIkqQ20TvS6XQh/wjRbNMXDZTP2Rt4LAmIbk7ZgXTu9PacuwzFIERRDPrrQq/XBz0Ro92mL+rJ53S5XOr/7HZ7vKrYZwyUc6YnBsI5E82csgPp3OnpnLuRnj+8phiEx+MJ+mDxnJwc1NbWxmybvijaz+m7uO17DJ8gCMjPzw97/sv+aKCcM9EaSOdM58EfTqcTgiCEHBQy0M6dSI9Px20iPX/YUqReIQiC33NpO85/SRTMQD1nwp1TdqCKZM7daM4fhmIIHo8n4L26ujoYDIaYbtMXxepz+ua/HMgGyjkTKwPhnAl3TtmBeu7EYs7drjAUgzCZTEFHPHk8npDN9Wi26Yui+Zyc/zK4gXLORGOgnjPhzik7UM+d3phzl6EYhE6ngyAIASedJEkhh5RHs01fFM3n5PyXwQ2UcyYaA/GciWRO2YF47vTWnLsMxRBsNhs2btyovna73X4nW+c5HsPZpr+I9NgMtPkvg3VrAQP7nPEJ99gMtHMm0jllgYF17vTmnLucOqoLDodD/TXW+RFKbrdbfaJCx4Pc1Tb9STTHpvP8l/3t2IiiCKfTia1bt8LtdsNqtcJoNKo3WA/kcybaY9Pfzxmg/dgsWrQo6LLKykrodLoBf+5Ee3yiOX8YikRERAp2nxIRESkYikRERAqGIhERkYKhSEREfVJ+fj6mTJmCuXPnxuzZuBxoQ0REfZLT6VTnk4wVthSJiIgUnCWDiIj6JN9Ew5IkwePx+E26HC22FIn6GbfbjYKCAsydOxdTpkxBcXFx0PWKi4vVdRYtWtRv5yuk5Oc7Z4NxOBxwOp1wOp0B56jVaoXZbIbFYoHT6YzJpMO8pkjUT61fvx4VFRVwu93Yt29f0HVcLhecTmfQ50QSxZvb7caWLVtgMBiwdetWlJeX+y13OBwAoLYARVGE3W4Per4WFxf7PSUpWmwpEvVjvi8I35dLZ/310WDUNxiNRhQVFYV8ZqvD4fALOUEQ1GeeulyukL0gPcFQJOqHJElCbm5ut6F46NChfvmAbep93U3g67v2Fy5JkoKWp9Pp4HK5IAiC38jT6upq5OXlRVbpIBiKRP2Qy+VSf31brVa43e5+P2M9JZYgCNi4cWPQ6Zx81wQjmRhYFMWg6+v1erjdbvVB6A6HA3a7HYWFhVFNPNwZQ5GoH9q9e7faAvR1j3ZuLYqiiNzc3F6vG/VfGzZsgN1u9wtGp9MJl8sV8XVrj8cTdELgnJwc1NbWAgAsFgusVitsNlvMps1iKBL1c4IgwGg0BoRix9YkUaxs2rRJDcZoAzGRGIpE/YzvemJHwa4t8noixcumTZtQUlICh8PRo0AMNil1XV0dDAZDD2rXNYYiUT8TrAXoC0Xei0i9weFwwGQyAUDQa4zhMJlMQQfmeDweGI3GHtWvK3yiDVE/s3v37qDPg7RarXA4HHC73dDpdLyeSHHhO8d8LcT8/HwAiLirXqfTqYNpOg6gkSQprt3+bCkSDRAdB9zweiLFg9Pp9AtEwP8aYyjBukmB9nN248aN6mu32x3385ahSNSPBLue6NNxwI1vSDtRrPieQxrsGqIvGDt3h/qeUFNSUgK3243i4mK/695WqxW5ubm9OmiHj3kj6kecTieMRmPIwHM4HCguLsaSJUuwYcOGXq4dUfJjS5GoH3E4HF22AH0DbhYsWNBbVSLqUxiKRP2Ab1YMl8uFRYsWhXysGwDcfffdvJ5IFAK7T4mIiBRsKRIRESkYikRERAqGIhERkYKhSEREpGAoEhERKRiKRERECoYiERGRgqFIRESkYCgSEREpGIpERESK/w8HH6BGfLd8KAAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "m=250000\n",
+ "mctracker_log=np.load('../data/mctracker_log_{0}.npy'.format(m),allow_pickle=True)\n",
+ "mctracker_opt=np.load('../data/mctracker_opt_{0}.npy'.format(m),allow_pickle=True)\n",
+ "mctracker_opt_ex=np.load('../data/mctracker_opt_ex_{0}.npy'.format(m),allow_pickle=True)\n",
+ "n=len(mctracker_opt_ex)\n",
+ "plt.plot(np.linspace(0,n,n),mctracker_log,'r',label=r'log\\_lsq')\n",
+ "plt.plot(np.linspace(0,n,n),mctracker_opt,'b',label=r'scipy\\_opt')\n",
+ "plt.plot(np.linspace(0,n,n),mctracker_opt_ex,'g',label=r'scipy\\_opt*')\n",
+ "plt.ylabel(r'$\\alpha$')\n",
+ "plt.xlabel(r'$N$')\n",
+ "plt.ylim([2.5,3.1])\n",
+ "plt.legend()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Population Fits"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Log_lsq-Plot"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "medians: alpha: 2.7851626697096927 scaling factor 1818.3810098241033\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from MonteCarlo import test_func, ninetyfive_p, five_p\n",
+ "m=5000\n",
+ "answer = np.load('../data/n{0}'.format(m)+'.npy',allow_pickle=True)\n",
+ "a,b = answer[2],answer[3]\n",
+ "plt.figure() #plot of the source mass population of a random template sample\n",
+ "with np.errstate(divide='ignore'):\n",
+ " #print parameters\n",
+ " print(\"medians:\",\"alpha:\",np.median(a),\"scaling factor\",np.median(b))\n",
+ " #plot population histogram bin markers\n",
+ " for i in range(m):\n",
+ " plt.plot(answer[4][i][:-1],answer[5][i],\",\",alpha=0.3,color='grey')\n",
+ " plt.yscale(\"log\")\n",
+ " #plot fit and credible fit interval\n",
+ " x = np.linspace(2,100,100)\n",
+ " plt.plot(x, test_func(x,np.median(a),np.median(b)) ,'r',alpha=0.9,label=\"median\")\n",
+ " plt.plot(x,test_func(x,ninetyfive_p(a),b[np.argmin(np.abs(a-ninetyfive_p(a)))]),'b--',alpha=0.9,label='95\\% credible interval')\n",
+ " plt.plot(x,test_func(x,five_p(a),b[np.argmin(np.abs(a-five_p(a)))]),'b:',alpha=0.9,label='5\\% credible interval')\n",
+ " #plot adjustments\n",
+ " plt.gcf().subplots_adjust(left=0.2)\n",
+ " plt.xlabel(r'$m_1[M_{\\odot}]$',fontsize=30)\n",
+ " plt.ylabel(r'$\\frac{d\\mathcal{R}}{dm_1}[Gpc^{-3}yr^{-1}M_{\\odot}^{-1}]$',fontsize=30)\n",
+ " plt.yscale(\"log\")\n",
+ " plt.xscale(\"log\")\n",
+ " plt.ylim([10**-4,5*10**1])\n",
+ " plt.xlim([5,130])\n",
+ " plt.legend()\n",
+ " plt.gcf().subplots_adjust(bottom=0.2)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Opt.curve_fit-Plot"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "medians: alpha: 2.8460134495255023 scaling factor 3077.2101579744403\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "m=5000\n",
+ "answer = np.load('../data/n{0}'.format(m)+'.npy',allow_pickle=True)\n",
+ "a,b = answer[0],answer[1]\n",
+ "plt.figure() #plot of the source mass population of a random template sample\n",
+ "with np.errstate(divide='ignore'):\n",
+ " #print parameters\n",
+ " print(\"medians:\",\"alpha:\",np.median(a),\"scaling factor\",np.median(b))\n",
+ " #plot population histogram bin markers\n",
+ " for i in range(m):\n",
+ " plt.plot(answer[4][i][:-1],answer[5][i],\",\",alpha=0.3,color='grey')\n",
+ " plt.yscale(\"log\")\n",
+ " #plot fit and credible fit interval\n",
+ " x = np.linspace(2,100,100)\n",
+ " plt.plot(x, test_func(x,np.median(a),np.median(b)) ,'r',alpha=0.9,label=\"median\")\n",
+ " plt.plot(x,test_func(x,ninetyfive_p(a),b[np.argmin(np.abs(a-ninetyfive_p(a)))]),'b--',alpha=0.9,label='95\\% credible interval')\n",
+ " plt.plot(x,test_func(x,five_p(a),b[np.argmin(np.abs(a-five_p(a)))]),'b:',alpha=0.9,label='5\\% credible interval')\n",
+ " #plot adjustments\n",
+ " plt.gcf().subplots_adjust(left=0.2)\n",
+ " plt.xlabel(r'$m_1[M_{\\odot}]$',fontsize=30)\n",
+ " plt.ylabel(r'$\\frac{d\\mathcal{R}}{dm_1}[Gpc^{-3}yr^{-1}M_{\\odot}^{-1}]$',fontsize=30)\n",
+ " plt.yscale(\"log\")\n",
+ " plt.xscale(\"log\")\n",
+ " plt.ylim([10**-4,5*10**1])\n",
+ " plt.xlim([5,130])\n",
+ " plt.legend()\n",
+ " plt.gcf().subplots_adjust(bottom=0.2)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Rate Distribution"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "30.185740694558774 + 42.41869674046775 - 13.715971539579481\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from MonteCarlo import confup,confdn\n",
+ "n=250000\n",
+ "ratetracker = np.load('../data/ratetracker.npy',allow_pickle=True)\n",
+ "print(np.median(ratetracker),\"+\",confup(ratetracker),\"-\",confdn(ratetracker))\n",
+ "plt.figure()\n",
+ "plt.hist(ratetracker,bins=350,color='r',alpha=0.5,density=True)\n",
+ "plt.xlim([0,150])\n",
+ "plt.ylabel(r'$p(\\mathcal{R})[Gpc^{3}yr^{1}]$')\n",
+ "plt.xlabel(r'$\\mathcal{R}[Gpc^{-3}yr^{-1}]$')\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## The Detection Fraction"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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Xuw6fwQdf7hEdh4g8GMuPPMrIAZEYfasOK77ai+L9p0THISIPxfIjjzPznj6ICAtC5ntFcFRWiY5DRB6I5UceJ9DfB+kP3ALn2YtYaNmGmhpuf0ZETcPyI4/UIzIED01IQGHpSazZdFB0HCLyMCw/8lh3DovBIH043vpMwj77T6LjEJEHYfmRx1IoFHhqan+EqAPw93e+w9nzl0RHIiIPwfIjj6Zu54f0B5Lww0/n8fpHO3j9j4gaxac5b9q1axdsNhvKy8vhdDpRVlYGtVoNrVaLqKgo6HQ6jB071tVZieqVEN0BD6T2xn9ydiExNgzjkruLjkREbq7R5bdr1y4sXrwYu3btQkJCAiIjIxESEgKDwQCNRgMAsNvtcDqd2Lx5M5YvXw6FQoHU1FRMnjy5VcJbLBZotdrazzabzY16nyRJyMrKwqJFi1olF7W9X43qieL9p5C9uhi9u4UiOkIrOhIRubGblp/dbkdmZiaioqIwc+ZMJCQk3PBrk5OTr3tcUVGB3NxczJo1C0OGDHFpCVosFgBAampqbc6MjAzMnTv3hu+RJAk5OTkICQlBWVmZy7KQeEqlAs9MS8JTr67HK28X4h9Pj0C7AF/RsYjITTV4za+goAArVqzASy+9hNmzZzdYfPVRq9WYMmUKFixYgMjISMyfP79FYX/OYrHAZDLVPtbpdLDZbA2+R6/XIz09HUaj0WU5yH2EqP2R/kASTpw+y+t/RNSgG5af3W4HAMyePRtqtbrFH5ScnIzZs2fjww8/bPH3cjqdkCSpzvMajeamBUjezdAjDPenxmPjtmOwfnNEdBwiclM3LD+dTlfnNKYruOLUp91ur73O+HNarbbeUiR5mXRbTwzo1QnZq4uxv6xcdBwickPNmu0pmsPhqJ3o8nNqtRrl5eWt/vklJSWt/hmerKioSHQEjNarsO+oAnOzN2NGamcE+nFVz824w3Gj5uGxa7pml19eXh7KysqQkpKCyMjI614rKChAYmIigoODWxzQHRkMBvj7+4uO4ZaKioqQlJQkOgYAoGPEGfz+X5uxYXc1/jD9FigUCtGR3JY7HTdqGh67+lVVVTU4UGn2r8MpKSl4+OGHIUkS5s+fj8rKytrXkpOTkZWV1dxv3SgOh6POcxUVFQgJCWnVzyXPER/dHtMnJOCbkhNYveGA6DhE5EZafNozJSUFOp0O8+bNw9ChQxEfH4+Kiop6y8lVDAYDnE5nnecdDgf0en2rfS55nruH90DpoTN46/NSxEWFQh/TQXQkInIDzS6/L774AvPmzatdL1dTUwOLxQKFQgGNRoMXX3zRZSF/SaPRQKfTwel0Xjfxxel0chkDXUehUOApU388vWAD/v5OIRY8PRKhmgDRsYhIsGaVX15eHjIzM2EymeqMtK6NyFp7ezOz2YysrCykp6cDuLqA/efFZ7fbMW/ePLz00kt1Zoa25qiU3E9QoC9+/+tbMWfRJvz93e/w0kwjVCpOgCGSs2aVX0lJCb788ssbvp6Xl9fsQI1lMplgsVhgs9ngdDpht9uv293F6XSioKAADofjuu3XrFYrcnNzIUkSMjIyoNfrr1ssT94pOkKLJyb1xT8+2Ip3cndh+gSeHieSs2aV380mlaSkpODDDz9stT09r2motPR6PQoLC697TqfTwWw2N3oPUPIut92iw+4jZ7By3X7ERYXC2CdCdCQiEqRZ536Ki4tv+jXcWorckfluA+KiQrBg+VbYT1aIjkNEgjSr/IxGI5YuXdrg13BNFbkjXx8Vfv/rgfDzVeEvb32Lcxd4A1wiOWpW+U2ZMgU7d+7ErFmzsHv37nq/5ujRoy0KRtRawkIC8eyDt+D4qbNYsHwbz1IQyVCzlzosXLgQaWlpmDhxIqKiomA0Gmtnfubn5yMxMdFlIYlcrU9sR0wfn4B/fyrho6/3YfLoONGRiKgNtWiR+6JFi2Cz2ZCdnY3ly5cDuLoGb+bMmXj44YddEpCotUwc0QP77OV4J3cXenQNwYDenURHIqI20uIdXoxGY+36uoqKCpfc/oioLSgUCqRN6Qf7yQr8/d3v8I9ZI9AlLEh0LCJqAy5d6cviI08T4O+DPz40EAoALy/bgvNVl0VHIqI20ODNbH++WbWrFBQUuPx7ErVEeIcgPPvgLbCfrMBCToAhkoUGb2a7fPlyl5ZVZmYmdDqdy74fkav079UJvx6vR/7O41jx1V7RcYiolTV42vORRx6B3W7HrFmzsGvXrmZ9QGVlJVasWIFZs2bh0UcfrXPvPyJ3cc/IHhiZFIl3rbvxTcn3ouMQUSu66YSXKVOmYNy4ccjKysJzzz0Hg8GAIUOGQKfTQa1WX1dmlZWVKC8vh91uR1lZGXJzc+FwODBz5kwsWLCgNf8cRC2mUCjw28n9UPZDJV59vwjznhyObl00N38jEXmcRs32VKvVmDNnDgCgtLQUOTk5WLx4MSoqKmC322t3c9FoNNBqtYiPj0diYiJeeOEFnuYkj+Lvq8JzDw3E0//YgJeWbcH8p0ZAE+QnOhYRuViTlzokJCQgISGhNbIQuYUO2kD88aGB+N3r+Xjl7UK8MCMZvj68BRKRN+G/aKJ69OrWHmmmfig+cApZH+/kDFAiL9Oo8isoKGj2hBciTzUqSYfJo3si75sj+HTTQdFxiMiFGlV++fn5sNlsrZ2FyO08kBqPwYZwLF1Tgu92nRQdh4hcpFHld6Ob12ZmZt701kbPP/884uPjMXbsWI4eyeMolQo8My0J3bto8fd3vsOR752iIxGRCzRYfna7HStWrEBOTg40mrpTvm92R/fS0lJYLBZMnjwZS5curd38msiTBPr74LnfDEKgvwovLP0GPzkviI5ERC3UYPnpdDqMGzcOc+bMaVZxLV++HAqFAs8++yx0Ol3tLY+IPE3H0ED86TeD4Tx7ES8t24KqS1dERyKiFrjpaU+1Wg2j0YiamhpMmjQJx44dq32tuLgY5eXlN3zvihUrkJKSguDgYACA08lTRuS5YnUhmD0tCfvs5fjH+1tRXc0ZoESeqtFLHd566y0cOXIEY8aMwaBBgxAfH4/S0tIbboD95ptvQqFQYObMmQCu3u7IZDK5LjmRAMmJXfDQhKt7gL79eanoOETUTI1e5K7RaFBYWIjs7GwUFBQgMjIS6enpqKmpQVpaGp599ln07t0bwNVtzpYsWQKj0Yj4+HgAvN0ReY+JI3rg+9NnsWr9fnTu0A53GKNFRyKiJmryDi9msxlms/m65xYuXIjnnnsOZWVlMBgMyM3NBQC88MILrklJ5EYUCgVmTkzEjz+dR9aqnQgLCcTAhHDRsYioCVyyw4tarcbChQuxYMEC6HQ6zJkzB2vXruUdHMhrqVRKPPvgLYjuenUJxH57uehIRNQELt3eTKfT4ZFHHsGUKVN4mpO8XqC/D55/eDC0QX544c1v8P2ps6IjEVEjcW9PohYI1QTgz+ZkXKmuxvPZBXBUVomORESNwPIjaiFdZzX+9JvBOF1+Hi+8+Q0uVF0WHYmIboLlR+QC8dHtkf7gLThQVo5X/lOIy1eqRUciogaw/IhcZLChCx77VV8U7f4BCy3buAieyI01eakDEd1YanJ3OM5W4d3c3dAE+eGRuwxQKBSiYxHRL7D8iFxsyug4OCovYs3GgwgJ9sfk0XGiIxHRL7D8iFxMoVDgkbsMcFZexH9ydkHdzg+pyd1FxyKin2H5EbUCpVKBp6b2x9kLl/CvlTsQ6O+DEQO46QORu+CEF6JW4uujxO9+fSsSojvgHx9sxbelJ0RHIqL/YvkRtSJ/XxUyHh6E6AgN/vZ2IYr3nxIdiYjA8iNqde0CfPFnczI6dwjC3KXfYPfhM6IjEckey4+oDWiD/fHSo0aEagLwfHYBN8ImEozlR9RG2msC8PKjQxDczg8ZS2w4dNwhOhKRbLl1+VksFlitVlitVmRnZ7vsPZIkIS0tzZVRiRqlY2ggXn7UCD9fFf6UZcORE07RkYhkyW3Lz2KxAABSU1Nr/8vIyGjReyRJwrx582Cz2VBWVtZ64YkaEN4hCH95bAhUSgWee8OGoyxAojbn1uVnMplqH+t0Othstha9R6/XIz09HUaj0fWBiZogomMwXn5sCBQK4I+LbbCfrBAdiUhW3LL8nE4nJEmq87xGo7lhATbnPUQiRXZS4+XHhgAA/vhGPguQqA25ZfnZ7XZoNJo6z2u12noLrrnvIRJN11mNlx81ogbAH97I5zVAojbiltubORwOaLXaOs+r1WqUl5e77D3NVVJS4tLv522KiopER/A49w8Pwdtf/4hnF23A/90WhvBQvzbPwOPmuXjsms4ty8/dGQwG+Pv7i47hloqKipCUlCQ6hkfqk1iJP7yRj/c2lOPFmcnoERnSZp/N4+a5eOzqV1VV1eBAxS1PewJXR3K/VFFRgZCQEJe+h8hdRHQMxl8fH4oAfxX++EY+d4IhakVuWX4GgwFOZ91rHw6HA3q93mXvIXI3XcKC8MrjQ6EJ9sefsmzcC5Solbhl+Wk0Guh0ujpl5nQ6b7hMoTnvIXJHndq3wytPDEXH0Hb4c3YBvtt1UnQkIq/jluUHAGazGVlZWbWPJUm6rsTsdjvS0tKuK7ubveea+k6PErmT9poA/PXxIdCFq/HSv7dg4zZuykDkSm474cVkMsFiscBms8HpdMJut2Pu3Lm1rzudThQUFMDhcNQucbjZe+x2O6xWK3JzcyFJEjIyMqDX669bGE/kLrTB/nj50SF48d9bkPleESrPX8IdxmjRsYi8gqKmpqZGdAhPcW32EGd73hhnnrle1aUr+Nt/ClFYehIPpPbGlDFxUCgULv0MHjfPxWNXv5v9vHbb055EdJW/rwp/mD4QI5Mi8a51N5asLkZ1NX9nJWoJtz3tSUT/46NS4umpA6AN8scnGw+gvKIKz0wbAF8flehoRB6J5UfkIZRKBR6524D2mgAs+0yCo/Ii/vjQQAQF+oqORuRxeNqTyMPcOyoWz0wbgNJDp/G71zfjVPl50ZGIPA7Lj8gDjUrS4c/mwTh55hxmL9zIu8ITNRHLj8hD9YvrhL/9digUCuD/vbYZW3f/IDoSkcdg+RF5sOgILeY/NRzhHdrhhaXfINd2SHQkIo/A8iPycB20gXjliaEY0KsT/rVyJ7I/KcYVLoUgahDLj8gLtAvwxXMPDcSdw2KwZuNBvLxsC85duCQ6FpHbYvkReQmVSokZExPx6L19ULT7B6T/cxNOnD4rOhaRW2L5EXmZ8UOi8YJ5MM44LuCZBRt5WySierD8iLxQv7hOmD9rOELUfvhTlg2fbz4IbuNL9D8sPyIvFREWjHlPDkf/Xp2w+ONiLLJsx8VLV0THInILLD8iLxYU6Is//WYQTLfH4avCo9wRhui/WH5EXk6pVOCB1Hj8YfpAlP1QgVn/WI8d+34UHYtIKJYfkUwkJ3bB/KdGQN3ODxlZNnz09T5eByTZYvkRyYiusxrznxoOY58IvP15KV5e9i0qz3M9IMkPy49IZtoF+OLZB2+B+W4Dvtt1ErNeXY9jpy+KjkXUplh+RDKkUChw1/AeeOWJobhSXYOlX/6ATzdxOQTJB8uPSMZ6d2+Phc+MRI/wACxZXYy/vl2IynMcBZL3Y/kRyZwmyA/3jeiAhybo8a10AmmvrkfpodOiYxG1KpYfEUGpUODeUbH4+5PDoFIq8Pt/5cPy1R7eHYK8FsuPiGrFRYViwdMjMbRPBN7N3Y0/vpGPH86cEx2LyOVYfkR0naBAX8x5IAlP39cfB4+VI23+OmzcViY6FpFLsfyIqA6FQoHbbonCwmdGIbKzGvPeLcL894q4JpC8BsuPiG6oS1gQ/vbEUEwb2wsbtx/Dk/O+xo693BqNPB/Lj4gapFIpcV9Kb8x7chj8/XzwXJYNWR/vxIWLl0VHI2o2lh8RNUpcVCgWPDMCdw6LwWebDyFtPpdEkOdi+RFRowX4+WDGxET85bEhuFJdg9+9vhlL15SgivcJJA/D8iOiJkuMDcM/Z49EyuDuWL3hANIy10E6yFEgeQ6WHxE1S7sAXzwxqS9emmmsHQVmrdqJ81W8Fkjuj+VHRC3SN64j/jlnFO4cFoPPbYfwxLyv8d2uk6JjETWI5UdELRbof/Va4N+eGIYAPxVeePMbZL5bBEdllehoRPVi+RGRy8RHX71LxLSxvZC/8xge+9tafPXtEd4qidyOj+gAbc1qtUKj0UCSJGg0GphMJtGRiLyKr48K96X0xpC+EXj9ox1YaNmOrwrteGJSX+g6q0XHIwIgs5Gf0+lEZmYmjEYjzGYzsrOzYbfbRcci8kpR4Rr89fGh+O3kfjj8vRNp89fhPzmlXBxPbkFWIz+NRoNVq1Zd95xWqxWUhsj7KZUKpAzuhoH6zlj2qYQP1+7Dhm3HMPOeRAxMCBcdj2RMViM/4GoBAoDdbkdCQkLtYyJqPaHqADwzLQl/eXwI/H1VeHHpFry4dAtOnD4rOhrJlNuVnyRJSEtLq/c1i8UCq9UKq9WK7OzsZn+GzWbDvHnzkJ6e3uzvQURNl9gjDAufGYmHJiRg5/4f8fjfv8b7ebu5Qwy1Obc57SlJEnJychASEoKysrr3DrNYLACA1NRUAFdHbhkZGZg7d27t606ns97vrdfrYTQaax8bjUYYjUaMGTMGy5Ytg06nc/Ufh4huwNdHiXtH9cSIAZH49xoJH3yxB2sLj+LhuwxITuwChUIhOiLJgNuUn16vh16vhyRJyM3NrfO6xWK57nqdTqeDzWarfdyYWZuSJMFut9cWaEJCApYvX84RIJEAHbSBSH/wFqQkd8OSj4vx17cL0bdnGMwTE9EtnJcjqHW53WnP+jidTkiSVOd5jUZzXQHejN1uh8PhqH1cUVGBxMREl2QkoubpE9sRC58ZiZn3JOJAmQNp89cja9VOOM9eFB2NvJhHlJ/dbq93YopWq623FG8kNTUVWq0WFosF2dnZSEhIqB0FEpE4KpUSE4bGYPHvRiN1cDfk2A5hxl+/wpqNB3D5SrXoeOSF3Oa0Z0McDke9SxLUajXKy8ub9L1cUXYlJSUt/h7erKioSHQEagZ3OW4DuwPdQjojb2s5sj8pwaqvd+P2/lr06hrA64E34C7HzpN4RPm5G4PBAH9/f9Ex3FJRURGSkpJEx6AmcsfjNu62GhTuOolln0pYvvE0EnuE4eG79OgRGSI6mltxx2PnDqqqqhocqHhM+f38Wt01FRUVCAkJafswRNTqFAoFBiaEY0CvTsgrOIz38vbg6QUbMHJAJB4YF49Ooe1ERyQP5hHlZzAY6l3G4HA4oNfrBSQiorbio1Ji/NAYjEjS4aO1e7Fm00Fs3nEcdw2LwaTRcQgO9BUdkTyQR0x40Wg00Ol0dQrQ6XRet36PiLxXcKAvpk/QY/HvRmNo3wisXLcfM/7yJVZv2I+LXCRPTeR25Vff6U0AMJvNyMrKqn0sSRKLj0iGOoW2wzPTkrDg6RHoqQvF0jUSHv3bWqwtPIor1bx1EjWO25z2tNvtsFqtyM3NhSRJyMjIgF6vr128bjKZYLFYYLPZ4HQ6Ybfba3d3ISL56REZghdmJGPH3h/x1ucSFizfhlXr9+P/xsVjoD6cM0OpQW5TfjqdDmazGWaz+YZfw3vvEdEv9Y3riPmxI2ArPo53cnbhpWXfone3UPzfHQlIjA0THY/clNuUHxFRcymVCgzt2xWDDV2wtvAoPvhiD/7wRj76xXXEg+PiERcVKjoiuRmWHxF5DR+VEimDu2NUkg45tsP4cO1ezF64EYP04bg/tTeiI3j/TrqK5UdEXsfPV4WJI3pg7KAofLrpID5evx9p89djaN8ITEvpDV1nteiIJBjLj4i8VrsAX5hu74XxQ6KxesMBrNl0APk7j2NE/0hMHdsLXTsGi45IgrD8iMjrBbfzwwPj4nHnsBh8vH4/Pss/hI3byjAySQfT7XGICGMJyg3Lj4hkQxvsj+kT9Jg4IhYr1+1Dju0w1m8tw8gBkSxBmWH5EZHshKj98fBdBtw7Mhar1u+/WoJFdowYEIkpY+IQ2YnXBL0dy4+IZCtUE1CnBDdsLcOwfpGYMqYnonhHea/F8iMi2btWgr8a1ROrN+zH5/mHsHF7GYyJEZgyJg4xXblEwtuw/IiI/itEffWa4L2jemLNxgP4dPNB5O88jlsTOmPKmDj07tZedERyEZYfEdEvaIKuzg6dODIWn20+iDUbDyB90Sb0iQ3DlDFx6BMbxr1DPRzLj4joBoIDfTH19l64e3gPWAsO4+P1+/HcYht6RYVi8uieuDUhHEolS9ATsfyIiG4i0N8H94yMxfgh0fiq8ChWrtuPl5Z9i27haky6rSeG9esKlcrt7hBHDeDRIiJqJD9fFe4wRmPJ70Zj9rQBqAEw//2tmPHKWny++SAuXLwsOiI1Ekd+RERNpFIpMTJJh+H9I/HdrpP4cO1eLP64GO9/sQd3DovB+CHRULfzEx2TGsDyIyJqJqVSgYH6cNya0Bmlh87go6/34T3rbqz8eh/GDu6Gu4f3QKfQdqJjUj1YfkRELaRQKKCP6QB9TAcc/t6JVev24fPNh/D55kMY1r8r7h0Zy9spuRmWHxGRC3XvosEz05LwwLh4rNl4EHnfHMb6ojL0j+uIe0fFom/Pjlwm4QZYfkREraBTaDs8crcBU2+PQ27BYXy66SD+lFWA6AgN7hkZi2H9usKHM0SF4d88EVErCm7nh8mj47D0uduRNqUfLl+pxqvvb4X55S+xat0+nD1/SXREWeLIj4ioDfj6qHD7oG4YfWsUinafxOoNB7Dss1Is/3Ivbh8UhbuG9UDn9pwc01ZYfkREbUipVODWhHDcmhCO/WXl+GTDAXy++RA+23QQyX0iMHFED+4h2gZYfkREgsRGhmD2/Un49fgEfLb5IKwFh5G/4zh6dQvF3cN7wJjYhTvHtBKWHxGRYGEhgZg+QQ/T7b2wtvAo1mw6iL+/8x3CQgJx59BojB3cHcGBvqJjehWWHxGRmwj098GEoTEYZ4xGYekJrNl4EMs+K8UHX+zB6FujcOewGHTtGCw6pldg+RERuRmVUoHBhi4YbOiCg8cc+GTjAeR9cwSf5x/CLfGdceewGPSP43rBlmD5ERG5sZiuWjx93wBMn5AAq+0wcgoO4/klBdB1DsadQ2MQoqoWHdEjsfyIiDxAqDoA96X0xqTRPbFp+3F8uukA/rVyJwJ8FUg9WYLxQ6IR3iFIdEyPwfIjIvIgvj4q3HaLDqOSIrH78E94e813WLPpID7ZeAADE8Jx59AY9OnJO83fDMuPiMgDKRQKxEe3x+ShHdCtRwJyCw7DWnAYW6QT0HVWY8LQaIxK0iHQnz/m68O/FSIiDxcWEogHx8XDNCYOm7Yfw2ebD+KNlTvxn89LMXpgFMYboxHBWaLXYfkREXkJP18VRt8ahdtu0WHPkZ/w6eaDyMk/hDUbD2JA704YPyQaSb07Q6XkKVGWHxGRl1EoFOjdvT16d2+Pn5wXkLflCHJth/Hi0i3o3L4d7jB2x5iB3aAJku/d5ll+REReLFQTgKm398Kk23qioPh7fJ5/CMs+K8V71t0Y1r8rxg+JRk9dqOiYbU625We322Gz2WAymURHISJqdT4qJYb164ph/bri8PdO5OQfwroiO9YW2tFTF4I7jNEY1r8r/H1VoqO2CdnumJqdnQ2n0yk6BhFRm+veRYPHJ/XFWxkpmHlPIs5XXcZCyzY8NDcPS9eU4PipStERW50sR342mw16vZ7lR0SyFhToiwlDYzB+SDSKD5xCTv7VO86v3nAA/eM6YpwxGgMTOnvlnSVkWX4AoNVqWX5ERLg6QaZPbEf0ie2I047z+GLLUeR9cxh/eetbhGkDMHZwd4wdFIUO2kDRUV3G7cpPkiRkZWVh0aJFdV6zWCzQarUArl6zM5vNTf7+NpsNRqMRVqu1xVmJiLxNB20g7hvbC1NG98S3pSeRazuE9/N2Y/mXezDYEI5xyd3RJ7YjlB6+XMJtyk+SJOTk5CAkJARlZWV1XrdYLACA1NRUAFfLLyMjA3Pnzq19/UYjOb1eD6PRCLvdDp1O10p/AiIi76FSKZGc2AXJiV1w/FQl8gqO4Mtvj8K283t0CQtC6uDuGH2rDtpgf9FRm8Vtyk+v10Ov10OSJOTm5tZ53WKxYNWqVbWPdTodbDZb7ePGzNqUJKn2/zabDeXl5bUjQSIiql9EWDAeulOP+1N7w1b8PXJth7DsMwnv5O7CkD4RSE3uBn1MB4/aT9Rtyq8hTqeztrh+TqPRNKm8ro0aAcDhcODo0aMsPiKiRvLzVWHkgEiMHBCJIyecsNoOY12RHRu2lUHXORipg7tj1C06qNu5/+J5j5jCY7fbodFo6jyv1WrrLcWbkSQJVqsVBQUF140eiYiocbqFazDz3j546/kUPGXqh3b+vsj+pATTX8jDq+8XofTQadTU1IiOeUMeMfJzOBy1E11+Tq1Wo7y8vMnfT6/XY9myZS5IRkQkbwF+PhgzsBvGDOyGQ8cdyC04jPVFZVhXVIaocDVSBnfDbUk6BLvZaNAjys/dlJSUiI7g1oqKikRHoGbgcfNc7nTsBnUH+nXtBOnoeRTtr0T26hIs+7QECbp2SIoNQlRHP7e4Nugx5edwOOo8V1FRgZCQkDbPYjAY4O/vmTOcWltRURGSkpJEx6Am4nHzXO567IyDATOAg8ccsBYcxvqtZdh5+BwiOwUjZXA3jEpq3ZmiVVVVDQ5UPKL8DAZDvcsYHA4H9Hq9gERERNQYMV21eHxSX/zmTj027zgG6zdHsHSNhLc/3wVjYheMHdwNiT3C2nzdoEeUn0ajgU6ng9PpvG7ii9Pp5GxNIiIPEOD/v2uDh7934ostR/D1d3Zs3H4MXToE4fZBURh9axTaawLaJI/bzfas7/QmAJjNZmRlZdU+liSJxUdE5IG6d9FgxsREvP18CmZPG4AOIQH4T84uPPTiF3jp31tQWHoCV65Ut2oGtxn52e12WK1W5ObmQpIkZGRkQK/X1y5eN5lMsFgssNlscDqdsNvttbu7EBGR5/H3VWFkkg4jk3Q49mMlvtxyBGsL7dginUAHbQCenjoAfeM6tspnu0356XQ6mM3mBvfr5L33iIi8U9eOwZg+QY8HxsWjsPQENmw7hqpLV1rt89ym/IiIiHxUSiQnRiA5MaJVP8ftrvkRERG1NpYfERHJDsuPiIhkh+VHRESyw/IjIiLZYfkREZHssPyIiEh2WH5ERCQ7LD8iIpIdlh8REckOy4+IiGSH5UdERLLDja2boKamBgBw8eJFwUncW1VVlegI1Aw8bp6Lx66uaz+nr/3c/iVFzY1eoToqKiqwd+9e0TGIiKiR4uLioFar6zzP8muC6upqnD17Fr6+vlAoFKLjEBHRDdTU1ODSpUsICgqCUln3Ch/Lj4iIZIcTXoiISHZYfkREJDssPyIikh2WHxERyQ7Lj4iIZIflR0REssPyIyIi2eH2ZuQSFosFACBJEgBgzpw50Gg0IiNRE6WlpWHRokWiY1ATZGdnQ6PRQKvVAgBSU1MFJ/IcLD9qMYvFApPJdN3j6dOnY9WqVQJTUVNIkoS8vDzRMagJ0tLSkJ6eDp1OBwDo1asXCgsL+UtnI/G0J7WI0+ms85zJZILdbofNZhOQiJrD4XCIjkBNYLFYkJiYWFt8APDVV1+x+JqA5UctYrfbkZGRUacEdTod7Ha7oFTUFFarFUajUXQMaoLMzMw6pzh/XoR0czztSS2i1+uxatWqOr9x2u12GAwGQamosSRJgl6vFx2DmsDpdNb+smm1WqHRaCBJEkwmE0d+TcCRH7XYL394Wq1W6HQ6/lD1AHa7nSMGD2O326HRaOB0OpGamgqj0QiTyYTp06eLjuZRWH7kUk6nE0uWLMFbb70lOgrdhNVq5exAD+RwOOB0Oq/7peXaiI/X2RuP5UculZmZiYULF/L0i5vjiM9zXTtuv/w3ptVqa5ca0c3xmh+5THZ2NsxmM3+oegCbzQan01lnpHBt3djPl66Qe2no3xd/6Ww8lh+5hMViQWpq6nX/MG02G2cRuqn6yi0zMxNms1lAGmoqvV5fZ/TOSWZNw9Oe1GI2mw0Gg6H2H2J9Iwoicp05c+YgOzu79rEkSZxk1kSKmpqaGtEhyHPZ7XaMGTOm3te424RnsNlsWL58OfLy8pCSkoKpU6dyxO4BrFZr7Vra8vJypKenC07kWVh+REQkOzztSUREssPyIyIi2WH5ERGR7LD8iIhIdlh+REQkOyw/IiKSHZYfERHJDsuPiIhkh+VHRESyw/IjIiLZYfkREZHssPyIiEh2WH5ERCQ7vJktkUxZLBbk5+cjMTER5eXlSExMRGpqquhYRG2C5UckQ2lpaUhMTMSiRYtqn7t2X8ZrBWi1WlmG5LV42pNIZtLS0gAAZrP5uudNJhMyMzNrH1+7USqRN+LIj0hGbDYb8vLysGrVqjqv6fX62sLjqI+8HUd+RDKSnZ0NnU4HvV5/w6+RJAnFxcXQ6XRtmIyobbH8iGTEZrPBaDQ2+DUWiwUzZ85so0REYrD8iGTC6XQCQIOjPgAwGo3QaDRtEYlIGJYfkUxoNJoGS62x5UjkDVh+RDIyY8YM5Ofn13nearUCuFqQ10rQZrO1aTaitqSoqampER2CiNpOdnY2ysvLERUVVfucyWQCcLUEbTYb1Go1Zs6cydOf5LVYfkREJDs87UlERLLD8iMiItlh+RERkeyw/IiISHZYfkREJDssPyIikh2WHxERyQ7Lj4iIZIflR0REssPyIyIi2fn/2tL0Hp731MkAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from Bayes import xi\n",
+ "plt.figure()\n",
+ "x=np.linspace(1,7,100)\n",
+ "y=[xi(a) for a in x]\n",
+ "plt.plot(x,y)\n",
+ "plt.xlabel(r'$\\alpha$')\n",
+ "plt.ylabel(r'$\\xi(\\alpha)$')\n",
+ "plt.yscale(\"log\")\n",
+ "plt.gcf().subplots_adjust(left=0.15)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Single Event Likelihood"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "eventname = GW190909_114149\n",
+ "peak alpha = 3.32\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from Bayes import likelihood\n",
+ "#Specify cut-off masses and prior on alpha\n",
+ "U_min=2\n",
+ "U_max=100\n",
+ "a_min=-4\n",
+ "a_max=12\n",
+ "#specify waveform-model and event\n",
+ "app = app1\n",
+ "event = eventnames[app][5]\n",
+ "\n",
+ "\n",
+ "plt.figure()\n",
+ "x = np.linspace(a_min,a_max,200)\n",
+ "y = np.array([likelihood(app,alpha,event,U_min,U_max) for alpha in x])\n",
+ "amax = r'$\\hat{\\alpha}=$'+str(np.round(x[np.argmax(y)],2))\n",
+ "plt.plot(x,y,label=amax)\n",
+ "string = r'$\\mathcal{L}'+r'({0}|\\alpha)$'.format(event.replace(\"_\",\"\\_\"))\n",
+ "plt.xlabel(r'$\\alpha$')\n",
+ "plt.ylabel(r'$p(\\alpha|d_{ev})$')\n",
+ "print('eventname =',event)\n",
+ "print('peak alpha =',np.round(x[np.argmax(y)],2))\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Colored Single Event Probability Distributions"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 2 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import scipy.integrate as integrate\n",
+ "from matplotlib.cm import coolwarm\n",
+ "U_min = 2\n",
+ "U_max = 100\n",
+ "amin=-4\n",
+ "amax=12\n",
+ "app = app1\n",
+ "\n",
+ "x = np.linspace(amin,amax,300)\n",
+ "massmedians = [np.median(postdict[app]['mass_1_source'][ev]) for ev in edict[app]]\n",
+ "m,n = max(massmedians),min(massmedians)\n",
+ "plt.figure()\n",
+ "with np.errstate(divide='ignore'):\n",
+ " for ev in edict[app]:\n",
+ " y = np.array([likelihood(app,alpha,ev,U_min,U_max) for alpha in x])\n",
+ " f=y/integrate.trapz(y,x) #normalize likelihood\n",
+ " colorgradient = np.median(postdict[app]['mass_1_source'][ev])/m\n",
+ " b = plt.plot(x,f,label=ev, color = coolwarm(colorgradient, alpha=None, bytes=False))\n",
+ " #plt.yscale(\"log\")\n",
+ "sm = plt.cm.ScalarMappable(cmap=coolwarm, norm=plt.Normalize(vmin=n, vmax=m))\n",
+ "cbar = plt.colorbar(sm)\n",
+ "cbar.set_label('Posterior event source\\_mass\\_1')\n",
+ "plt.ylabel(r'$p(\\alpha|\\{d_{ev}\\})$')\n",
+ "plt.xlabel(r'$\\alpha$')\n",
+ "plt.xlim([1.5,8])\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Total Model Likelihood"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 486x432 with 2 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "l=np.load('../data/l_contour.npy')\n",
+ "l_tf_log=[[np.log(l[j][k][0]) if l[j][k][0]!=0 else 0 for k in range(30)]for j in range(30)]\n",
+ "x=np.linspace(2,10,30)\n",
+ "y=np.linspace(75,150,30)\n",
+ "xx, yy = np.meshgrid(x, y, sparse=True)\n",
+ "g=l_tf_log\n",
+ "h = plt.contourf(x,y,g,interpolation='none',cmap=coolwarm)\n",
+ "amin,amax=min(min(i)for i in g),max(max(i) for i in g)\n",
+ "sm = plt.cm.ScalarMappable(cmap=coolwarm)\n",
+ "cbar = plt.colorbar(sm)\n",
+ "cbar.set_label(r'$\\mathcal{L}/\\mathcal{L}_{max}$')\n",
+ "plt.ylim([80,100])\n",
+ "plt.xlabel(r'$m_{min}$')\n",
+ "plt.ylabel(r'$m_{max}$')\n",
+ "plt.gcf().subplots_adjust(left=0.15)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Power Law Parameter Probability"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [
+ {
+ "ename": "NameError",
+ "evalue": "name 'integrate' is not defined",
+ "output_type": "error",
+ "traceback": [
+ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+ "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
+ "\u001b[0;32m<ipython-input-5-20cbc2a98526>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 10\u001b[0m \u001b[0;32mwith\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0merrstate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdivide\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'ignore'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 11\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfigure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 12\u001b[0;31m \u001b[0mc1\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mintegrate\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtrapz\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mapp1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0medict\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mapp1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 13\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mapp1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0medict\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mapp1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0mc1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mlabel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'IMRPhenomPv2'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 14\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mxlabel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34mr'$\\alpha$'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+ "\u001b[0;31mNameError\u001b[0m: name 'integrate' is not defined"
+ ]
+ },
+ {
+ "data": {
+ "text/plain": [
+ "<Figure size 486x432 with 0 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import caffeine\n",
+ "from Bayes import tot_int_like, peak_alpha\n",
+ "U_min,U_max=[9.172413793103448, 90.51724137931035] #Optimal cut-off masses determined from peaking total model likelihood\n",
+ "a_min=-4\n",
+ "a_max=20\n",
+ "app=app1\n",
+ "x = np.linspace(a_min,a_max,500)\n",
+ "def f(app,_dict,alph):\n",
+ " return tot_int_like(app,_dict,alph,U_min,U_max)\n",
+ "with np.errstate(divide='ignore'):\n",
+ " plt.figure()\n",
+ " c1 = integrate.trapz(f(app1,edict[app1],x),x)\n",
+ " plt.plot(x,f(app1,edict[app1],x)/c1,label='IMRPhenomPv2')\n",
+ " plt.xlabel(r'$\\alpha$')\n",
+ " plt.ylabel(r'$p(\\{\\alpha\\}|\\vec{d})$')\n",
+ " print(peak_alpha(app1,edict[app1],x,U_min,U_max))\n",
+ " plt.legend()\n",
+ " plt.xlim([4,7.5])\n",
+ " plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Exclusion Analysis"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### High Mass Exclusion"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from Dictionaries import edict_ex_h\n",
+ "\n",
+ "#Calculate the sample yourself (warning: may take several hours for >100 data points)\n",
+ "\n",
+ "#a_p=np.linspace(-4,12,50)\n",
+ "#app=app1\n",
+ "#x=np.linspace(6,10,15)\n",
+ "#y=np.linspace(60,85,15)\n",
+ "#l = [[[max_tot_l(app,edict_ex_h[app],a_p,xx,yy)] for xx in x] for yy in y]\n",
+ "#l_tf=[[l[j][k][0] for k in range(15)]for j in range(15)]\n",
+ "#l_tf_log=[[np.log(l[j][k][0]) if l[j][k][0]!=0 else 0 for k in range(15)]for j in range(15)]\n",
+ "#np.save('l_tf_log.npy', answer) "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "x=np.linspace(6,10,15)\n",
+ "y=np.linspace(60,85,15)\n",
+ "l_tf_log=np.load('../data/l_tf_log_ex_high.npy')\n",
+ "xx, yy = np.meshgrid(x, y, sparse=True)\n",
+ "h = plt.contourf(x,y,l_tf_log,cmap=coolwarm)\n",
+ "plt.xlabel(r'$m_{min}$',fontsize=30)\n",
+ "plt.ylabel(r'$m_{max}$',fontsize=30)\n",
+ "sm = plt.cm.ScalarMappable(cmap=coolwarm)\n",
+ "cbar = plt.colorbar(sm)\n",
+ "cbar.set_label(r'$\\mathcal{L}/\\mathcal{L}_{max}$',fontsize=27)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Low Mass Exclusion"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from Dictionaries import edict_ex_l\n",
+ "#Calculate the sample yourself (warning: may take several hours for >100 data points)\n",
+ "\n",
+ "#a_p=np.linspace(-4,12,50)\n",
+ "#app=app1\n",
+ "#x=np.linspace(6,12,15)\n",
+ "#y=np.linspace(80,100,15)\n",
+ "#l = [[[max_tot_l(app,edict_ex_l[app],a_p,xx,yy)] for xx in x] for yy in y]\n",
+ "#l_tf=[[l[j][k][0] for k in range(30)]for j in range(30)]\n",
+ "#l_tf_log=[[np.log(l[j][k][0]) if l[j][k][0]!=0 else 0 for k in range(15)]for j in range(15)]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "l_tf_log=np.load('../data/l_tf_log_ex_low.npy')\n",
+ "x=np.linspace(6,12,15)\n",
+ "y=np.linspace(80,100,15)\n",
+ "xx, yy = np.meshgrid(x, y, sparse=True)\n",
+ "h = plt.contourf(x,y,l_tf_log,cmap=coolwarm)\n",
+ "plt.xlabel(r'$m_{min}$',fontsize=30)\n",
+ "plt.ylabel(r'$m_{max}$',fontsize=30)\n",
+ "sm = plt.cm.ScalarMappable(cmap=coolwarm)\n",
+ "cbar = plt.colorbar(sm)\n",
+ "cbar.set_label(r'$\\mathcal{L}/\\mathcal{L}_{max}$',fontsize=27)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Waveform Model Analysis"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "U_min=2\n",
+ "U_max=100\n",
+ "a_min=-4\n",
+ "a_max=12\n",
+ "x = np.linspace(a_min,a_max,700)\n",
+ "x1 = np.linspace(a_min,a_max,600)#different marker intervals to increase visibility\n",
+ "dict_intersect = {ev: item for ev, item in edict[app1].items() if ev in edict[app1] and ev in edict[app2] and ev in edict[app3]}\n",
+ "def f(app,_dict,alph):\n",
+ " return tot_int_like(app,_dict,alph,U_min,U_max)\n",
+ "with np.errstate(divide='ignore'):\n",
+ " plt.figure()\n",
+ " c1 = integrate.trapz(f(app1,dict_intersect,x),x)\n",
+ " c2 = integrate.trapz(f(app2,dict_intersect,x),x)\n",
+ " c3 = integrate.trapz(f(app3,dict_intersect,x1),x1)\n",
+ " plt.plot(x,f(app1,dict_intersect,x)/c1,'b',label='IMRPhenomPv2')\n",
+ " plt.plot(x,f(app2,dict_intersect,x)/c2,'r^',label='SEOBNRv4PHM',markersize=3)\n",
+ " plt.plot(x1,f(app3,dict_intersect,x1)/c3,'gs',label='NRSur7dq4',markersize=2)\n",
+ " \n",
+ " plt.xlabel(r'$\\alpha$')\n",
+ " plt.ylabel(r'$p(\\alpha|\\{\\vec{d}\\})$')\n",
+ " print(peak_alpha(app1,dict_intersect,x,U_min,U_max),peak_alpha(app2,dict_intersect,x,U_min,U_max),peak_alpha(app3,dict_intersect,x,U_min,U_max))\n",
+ " plt.legend()\n",
+ " plt.xlim([1.5,5])\n",
+ " plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Alpha Estimate Comparison"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import json\n",
+ "with open('../data/data_o1o2o3_mass_b_iid_mag_two_comp_iid_tilt_powerlaw_redshift_result.json') as json_file: \n",
+ " data = json.load(json_file) \n",
+ "answer = np.load('../data/n50000.npy',allow_pickle=True)[2]\n",
+ "x=np.linspace(0,6,300)\n",
+ "U_min=5.967\n",
+ "U_max=78.470\n",
+ "\n",
+ "plt.figure()\n",
+ "#plotting\n",
+ "plt.hist(data['posterior']['content']['alpha'], bins=50,color='b',alpha=0.5,density=True,label='LVC estimate')\n",
+ "plt.hist(answer,bins=100,color='r',alpha=0.5,density=True,label='MC estimate')\n",
+ "c1 = integrate.trapz(tot_int_like(app1,edict_ex_h[app1],x,2,U_max),x)\n",
+ "plt.plot(x,tot_int_like(app1,edict_ex_h[app1],x,2,U_max)/c1,label=r'Bayes, $m_{min}=2M_{\\odot}$')\n",
+ "c2 = integrate.trapz(tot_int_like(app1,edict_ex_h[app1],x,3,U_max),x)\n",
+ "plt.plot(x,tot_int_like(app1,edict_ex_h[app1],x,3,U_max)/c2,label=r'Bayes, $m_{min}=3M_{\\odot}$')\n",
+ "c = integrate.trapz(tot_int_like(app1,edict_ex_h[app1],x,U_min,U_max),x)\n",
+ "plt.plot(x,tot_int_like(app1,edict_ex_h[app1],x,U_min,U_max)/c,label=r'Bayes, $m_{min}=6M_{\\odot}$')\n",
+ "#plotstyle\n",
+ "plt.legend(fontsize=15)\n",
+ "plt.xlim([0,6])\n",
+ "plt.xlabel(r'$\\alpha$')\n",
+ "plt.ylabel(r'$p(\\alpha)$') \n",
+ "plt.show()\n",
+ "print('LIGO:',np.median(data['posterior']['content']['alpha']),'+',confup(data['posterior']['content']['alpha']),'-',confdn(data['posterior']['content']['alpha']))\n",
+ "print('MC:',np.median(answer[0]))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Rate Estimate Comparison"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "with open('../data/data_o1o2o3_mass_b_iid_mag_two_comp_iid_tilt_powerlaw_redshift_result.json') as json_file: \n",
+ " data = json.load(json_file)\n",
+ "n=250000\n",
+ "LIGO_rate=data['posterior']['content']['rate']\n",
+ "ratetracker = np.load('../data/ratetracker.npy',allow_pickle=True)\n",
+ "print('MC Estimate:',np.median(ratetracker),\"+\",confup(ratetracker),\"-\",confdn(ratetracker),'Gpc^-3yr^-1')\n",
+ "print('LVC Estimate:',np.median(LIGO_rate),\"+\",confup(LIGO_rate),\"-\",confdn(LIGO_rate),'Gpc^-3yr^-1')\n",
+ "plt.figure()\n",
+ "plt.hist(ratetracker,bins=350,color='b',alpha=0.5,density=True,label='MC estimate')\n",
+ "plt.hist(LIGO_rate,bins=100,color='r',alpha=0.5,density=True,label='LVC estimate')\n",
+ "plt.xlim([0,150])\n",
+ "plt.ylabel(r'$p(\\mathcal{R})[Gpc^{3}yr^{1}]$')\n",
+ "plt.xlabel(r'$\\mathcal{R}[Gpc^{-3}yr^{-1}]$')\n",
+ "plt.legend()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.6.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
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