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Third-generation gravitational-wave detectors will observe up to millions of merging binary black holes. With such a vast dataset, stacking events into population analyses will arguably be more important than analyzing single sources. We…

High Energy Astrophysical Phenomena · Physics 2025-03-14 Viola De Renzis , Francesco Iacovelli , Davide Gerosa , Michele Mancarella , Costantino Pacilio

Gravitational-wave astronomy of compact binaries relies on theoretical models of the gravitational-wave signal that is emitted as binaries coalesce. These models do not only need to be accurate, they also have to be fast to evaluate in…

Instrumentation and Methods for Astrophysics · Physics 2020-03-04 Yoshinta Setyawati , Michael Pürrer , Frank Ohme

The Advanced LIGO and Advanced Virgo gravitational wave detectors have detected a population of binary black hole mergers in their first two observing runs. For each of these events we have been able to associate a potential sky location…

High Energy Astrophysical Phenomena · Physics 2021-11-02 Richard Stiskalek , John Veitch , Chris Messenger

We propose a hierarchical approach to testing general relativity with multiple gravitational wave detections. Unlike existing strategies, our method does not assume that parameters quantifying deviations from general relativity are either…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Maximiliano Isi , Katerina Chatziioannou , Will M. Farr

We characterize the expected statistical errors with which the parameters of black-hole binaries can be measured from gravitational-wave (GW) observations of their inspiral, merger and ringdown by a network of second-generation ground-based…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Archisman Ghosh , Walter Del Pozzo , Parameswaran Ajith

Understanding the properties of transient gravitational waves and their sources is of broad interest in physics and astronomy. Bayesian inference is the standard framework for astro-physical measurement in transient gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2020-10-07 Rory Smith , Gregory Ashton , Avi Vajpeyi , Colm Talbot

For a number of reasons, the properties of integrated stellar populations are distributed. Traditional synthesis models usually return the mean value of such distribution, and a perfect fitting to observational data is sought for to infer…

Astrophysics · Physics 2007-05-23 V. Luridiana , M. Cervino

This article attempts to offer some perspectives on Bayesian inference for finite population quantities when the units in the population are assumed to exhibit complex dependencies. Beginning with an overview of Bayesian hierarchical…

Methodology · Statistics 2025-09-15 Sudipto Banerjee

Within the next decade, ground based gravitational wave detectors are in principle capable of determining the compact object merger rate per unit volume of the local universe to better than 20% with more than 30 detections. We argue that…

Astrophysics · Physics 2015-05-13 R. O'Shaughnessy , R. Kopparapu , K. Belczynski

Coalescing compact binary systems consisting of neutron stars and/or black holes should be detectable with upcoming advanced gravitational-wave detectors such as LIGO, Virgo, GEO and {KAGRA}. Gravitational-wave experiments to date have been…

General Relativity and Quantum Cosmology · Physics 2013-08-09 Kipp Cannon , Chad Hanna , Drew Keppel

We search for gravitational wave (GW) events from LIGO-Virgo's third run that may have been affected by gravitational lensing. Gravitational lensing delays the arrival of GWs, and alters their amplitude -- thus biasing the inferred…

Astronomers are often confronted with funky populations and distributions of objects: brighter objects are more likely to be detected; targets are selected based on colour cuts; imperfect classification yields impure samples. Failing to…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-21 Samuel R. Hinton , Alex Kim , Tamara M. Davis

Current searches for gravitational waves from compact-object binaries with the LIGO and Virgo observatories employ waveform models with spins aligned (or anti-aligned) with the orbital angular momentum. Here, we derive a new statistic to…

General Relativity and Quantum Cosmology · Physics 2016-07-14 Ian Harry , Stephen Privitera , Alejandro Bohé , Alessandra Buonanno

Statistical studies of astronomical data sets, in particular of cataloged properties for discrete objects, are central to astrophysics. One cannot model those objects' population properties or incidences without a quantitative understanding…

We investigate the merging rates of compact binaries in galaxies, and the related detection rate of gravitational wave (GW) events with AdvLIGO/Virgo and with the Einstein Telescope. To this purpose, we rely on three basic ingredients: (i)…

Astrophysics of Galaxies · Physics 2019-09-04 L. Boco , A. Lapi , S. Goswami , F. Perrotta , C. Baccigalupi , L. Danese

Modelling noise in gravitational-wave observatories is crucial for accurately inferring the properties of gravitational-wave sources. We introduce a transdimensional Bayesian approach to characterise the noise in ground-based…

Instrumentation and Methods for Astrophysics · Physics 2025-03-10 Nir Guttman , Paul D. Lasky , Eric Thrane

Gravitational waves (GWs) from compact binary mergers have emerged as one of the most promising probes of cosmology and General Relativity (GR). However, a major challenge in fully exploiting GWs as standard sirens with current and future…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-05 Matteo Tagliazucchi , Michele Moresco , Nicola Borghi , Manfred Fiebig

Gravitational waves (GWs) have revealed surprising properties of binary black hole (BBH) populations, but there is still mystery surrounding how these compact objects evolve. We apply Bayesian inference and an efficient method to calculate…

High Energy Astrophysical Phenomena · Physics 2024-10-21 Liana Rauf , Cullan Howlett , Simon Stevenson , Jeff Riley , Reinhold Willcox

Indirect information on population size, like pellet counts or volunteer counts, is the main source of information in most ecological studies and applied population management situations. Often, such observations are treaded as if they were…

Applications · Statistics 2016-09-27 Jonas Wallin , Kjell Wallin

Gravitational wave (GW) observations of binary neutron star (BNS) mergers can be used to measure luminosity distances and hence, when coupled with estimates for the mergers' host redshifts, infer the Hubble constant, $H_0$. These…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-27 Daniel J. Mortlock , Stephen M. Feeney , Hiranya V. Peiris , Andrew R. Williamson , Samaya M. Nissanke