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A Thesaurus for Common Priors in Gravitational-Wave Astronomy

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arxiv 2104.09508 v1 pith:5H6UKHLR submitted 2021-04-19 gr-qc astro-ph.HE

classification gr-qcastro-ph.HE
keywords priorsgravitational-waveregularlyastronomycommonparametersprioranalysis
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 13 citations worldwide. Full citation record

  1. An analytical joint prior for effective spins for inference on the spin distribution of binary black holes

    gr-qc 2024-12 conditional novelty 7.0 of 10

    An exact analytic expression is derived for the joint distribution of effective spins χeff and χp under isotropic uniform spin priors, and a GWTC-3 reanalysis shows the previous KDE approximation can shift log-likelih...

  2. Assessing the waveform systematics from parameter estimation to population inference with eccentricity

    astro-ph.HE 2026-07 conditional novelty 6.0 of 10

    Eccentric waveform-model differences, small per event, accumulate across the GWTC-4 catalog and alter inferred redshift evolution and effective-spin population distributions.

  3. Uncovering Hierarchical Sub-Population of Binary Black Holes

    astro-ph.HE 2026-07 conditional novelty 6.0 of 10

    A flexible six-component fit to 259 LIGO/Virgo/KAGRA black-hole mergers finds a roughly geometric sequence of mass peaks but no aligned-spin signal except in the lowest-mass component.

  4. Efficient Bayesian Sampling with Langevin Birth-Death Dynamics

    stat.AP 2025-09 conditional novelty 5.0 of 10

    An ensemble Langevin sampler with birth-death jumps and topology-aware reparameterization recovers GW150914 parameters faster than nested sampling but systematically overconstrains them.

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