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2021
A Thesaurus for Common Priors in Gravitational-Wave Astronomy Callister, T. A.
Understand In gravitational-wave data analysis, we regularly work with a host of non-trivial prior probabilities on compact binary masses, redshifts, and spins.
We must regularly manipulate these priors, computing the implied priors on a transformed basis of parameters or reweighting posterior samples from one prior to another. Here, I detail some common manipulations, presenting a table of Jacobians with which to transform priors between mass parametrizations, describing the conversion between source- and detector-frame priors, and deriving analytic expressions for priors on the "effective spin" parameters regularly invoked in gravitational-wave astronomy. A Thesaurus for Common Priors in Gravitational-Wave Astronomy · Around
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Wolfram Research, Inc., “Mathematica, Version 12.2,” Champaign, IL, 2020
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T. Callister, “Effective spin priors,” https://github.com/tcallister/effective-spin-priors , accessed: 2021-03-25
2021
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The LIGO Scientific Collaboration and the Virgo Collaboration, “GWTC-2 data release: Sensitivity of matched filter searches to binary black hole merger populations,” https://dcc.ligo.org/LIGO-P2000217/public , accessed: 2021-04-01
2021
Closest in time.
“Spence’s function,” https://en.wikipedia.org/wiki/Spence%27s_function , accessed: 2021-04-01
2021
Closest in time.