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Farr W M 2019 Res. Notes AAS
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Pratten G, García-Quirós C, Colleoni M, Ramos-Buades A, Estellés H, Mateu-Lucena M, Jaume R, Haney M, Keitel D, Thompson J E and Husa S 2021 Phys. Rev. D
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Gerosa D, Pratten G and Vecchio A 2020 Phys. Rev. D
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Schutz B F 2011 Class. Quantum Grav
Original
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Vitale S, Gerosa D, Farr W M and Taylor S R 2022 Inferring the Properties of a Population of Compact Binaries in Presence of Selection Effects Handbook of Gravitational Wave Astronomy
2022
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Talbot C and Thrane E 2022 Astrophys. J
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Ng K K Y, Chen S, Goncharov B, Dupletsa U, Borhanian S, Branchesi M, Harms J, Maggiore M, Sathyaprakash B S and Vitale S 2022 Astrophys. J. Lett
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2024

Quick recipes for gravitational-wave selection effects

Gerosa, Davide, Bellotti, Malvina

Understand

Accurate modeling of selection effects is a key ingredient to the success of gravitational-wave astronomy.

The detection probability plays a crucial role in both statistical population studies, where it enters the hierarchical Bayesian likelihood, and astrophysical modeling, where it is used to convert predictions from population-synthesis codes into observable distributions.
We review the most commonly used approximations, extend them, and present some recipes for a straightforward implementation.
These include a closed-form expression capturing both multiple detectors and noise realizations written in terms of the so-called Marcum Q-function and a ready-to-use mapping between signal-to-noise ratio thresholds and false-alarm rates from state-of-the-art detection pipelines.

Built on

Farr W M 2019 Res. Notes AAS
Original
1904
Earlier work this paper cites.
Virtanen P et al
Original
1907
Earlier work this paper cites.
Fishbach M, Farr W M and Holz D E 2020 Astrophys. J. Lett
Original
1911
Earlier work this paper cites.
Marcum J 1948 IRE Trans. Inf. Theory
1948
Earlier work this paper cites.
Park J H 1961 Q. Appl. Math
1961
Earlier work this paper cites.
Abramowitz M and Stegun I A 1972 Handbook of Mathematical Functions
1972
Earlier work this paper cites.
Shnidman D A 1989 IEEE Trans. Inf. Theory
1989
Earlier work this paper cites.
Finn L S and Chernoff D F 1993 Phys. Rev. D
1993
Earlier work this paper cites.
Pratten G, García-Quirós C, Colleoni M, Ramos-Buades A, Estellés H, Mateu-Lucena M, Jaume R, Haney M, Keitel D, Thompson J E and Husa S 2021 Phys. Rev. D
Original
2004
Earlier work this paper cites.
Gerosa D, Pratten G and Vecchio A 2020 Phys. Rev. D
Original
2007
Earlier work this paper cites.
Maggiore M 2007 Gravitational Waves. Vol. 1: Theory and Experiments
2007
Earlier work this paper cites.
Creighton J and Anderson W 2011 Gravitational-Wave Physics and Astronomy: An Introduction to Theory, Experiment and Data Analysis
2011
Earlier work this paper cites.
Schutz B F 2011 Class. Quantum Grav
Original
2011
Earlier work this paper cites.

Similar

Jaranowski P and Królak A 2012 Living Rev. Relativ
Original
2012
Cited alongside, same era.
Gil A, Segura J and Temme N M 2013 ACM Trans. Math. Softw
Original
2013
Cited alongside, same era.
Gair J R and Moore C J 2015 Phys. Rev. D
Original
2015
Cited alongside, same era.
Vitale S 2016 Phys. Rev. D
Original
2016
Cited alongside, same era.
Chua A J K, Moore C J and Gair J R 2017 Phys. Rev. D
Original
2017
Cited alongside, same era.

Then

Vitale S, Gerosa D, Farr W M and Taylor S R 2022 Inferring the Properties of a Population of Compact Binaries in Presence of Selection Effects Handbook of Gravitational Wave Astronomy
2022
Later among the works it cites.
Talbot C and Thrane E 2022 Astrophys. J
2022
Later among the works it cites.
Ng K K Y, Chen S, Goncharov B, Dupletsa U, Borhanian S, Branchesi M, Harms J, Maggiore M, Sathyaprakash B S and Vitale S 2022 Astrophys. J. Lett
Original
2022
Later among the works it cites.
Talbot C and Golomb J 2023 Mon. Not. R. Astron. Soc
Original
2023
Later among the works it cites.
Abbott R et al
Original
2023
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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