Shortly after a new class of objects is discovered, the attention shifts from the properties of the individual sources to the question of their origin: do all sources come from the same underlying population, or several populations are required? What are the properties of these populations? As the detection of gravitational waves is becoming routine and the size of the event catalog increases, finer and finer details of the astrophysical distribution of compact binaries are now within our grasp. This chapter presents a pedagogical introduction to the main statistical tool required for these analyses: hierarchical Bayesian inference in the presence of selection effects. All key equations are obtained from first principles, followed by two examples of increasing complexity. Although many remarks made in this chapter refer to gravitational-wave astronomy, the write-up is generic enough to be useful to researchers and graduate students from other fields.

Vitale, S., Gerosa, D., Farr, W., Taylor, S. (2022). Inferring the Properties of a Population of Compact Binaries in Presence of Selection Effects. In C. Bambi, S. Katsanevas, K.D. Kokkotas (a cura di), Handbook of Gravitational Wave Astronomy (pp. 1709-1768). Springer [10.1007/978-981-16-4306-4_45].

Inferring the Properties of a Population of Compact Binaries in Presence of Selection Effects

Gerosa, Davide;
2022

Abstract

Shortly after a new class of objects is discovered, the attention shifts from the properties of the individual sources to the question of their origin: do all sources come from the same underlying population, or several populations are required? What are the properties of these populations? As the detection of gravitational waves is becoming routine and the size of the event catalog increases, finer and finer details of the astrophysical distribution of compact binaries are now within our grasp. This chapter presents a pedagogical introduction to the main statistical tool required for these analyses: hierarchical Bayesian inference in the presence of selection effects. All key equations are obtained from first principles, followed by two examples of increasing complexity. Although many remarks made in this chapter refer to gravitational-wave astronomy, the write-up is generic enough to be useful to researchers and graduate students from other fields.
Capitolo o saggio
Bayesian inference; Black holes; Gravitational waves; Selection effects; Source populations;
English
Handbook of Gravitational Wave Astronomy
Bambi, C; Katsanevas, S; Kokkotas, KD
2-mar-2022
2022
9789811643057
Springer
1709
1768
Vitale, S., Gerosa, D., Farr, W., Taylor, S. (2022). Inferring the Properties of a Population of Compact Binaries in Presence of Selection Effects. In C. Bambi, S. Katsanevas, K.D. Kokkotas (a cura di), Handbook of Gravitational Wave Astronomy (pp. 1709-1768). Springer [10.1007/978-981-16-4306-4_45].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/398613
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