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Estimating the parameters of gravitational wave signals detected by ground-based detectors requires an understanding of the properties of the detectors' noise. In particular, the most commonly used likelihood function for gravitational wave…

Gravitational-wave (GW) parameter estimation typically assumes that instrumental noise is Gaussian and stationary. Obvious departures from this idealization are typically handled on a case-by-case basis, e.g., through bespoke procedures to…

Instrumentation and Methods for Astrophysics · Physics 2026-04-15 Ronan Legin , Maximiliano Isi , Kaze W. K. Wong , Yashar Hezaveh , Laurence Perreault-Levasseur

Gravitational-wave parameter estimation for compact binary signals typically relies on sequential estimation of the properties of the detector Gaussian noise and of the binary parameters. This procedure assumes that the noise variance,…

General Relativity and Quantum Cosmology · Physics 2022-11-14 Cailin Plunkett , Sophie Hourihane , Katerina Chatziioannou

Inferring the properties of colliding black holes from gravitational-wave observations is subject to systematic errors arising from modelling uncertainties. Although the accuracy of each model can be calculated through comparison to…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Charlie Hoy , Sarp Akcay , Jake Mac Uilliam , Jonathan E. Thompson

Many traditional algorithms applied in gravitational-wave astronomy rely on the assumption of Gaussian noise, a condition not always met. To meet this need, this study extends a robust statistical framework, advancing previous work on…

General Relativity and Quantum Cosmology · Physics 2026-02-26 Argyro Sasli , Minas Karamanis , Nikolaos Karnesis , Michael W. Coughlin , Vuk Mandic , Uroš Seljak , Nikolaos Stergioulas

Gravitational-wave astronomy provides a promising avenue for the discovery of new physics beyond general relativity as it probes extreme curvature and ultra-relativistic dynamics. However, in the absence of a compelling alternative to…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Lachlan Passenger , Shun Yin Cheung , Nir Guttman , Nikhil Kannachel , Paul D. Lasky , Eric Thrane

With the discovery of the binary black hole coalescence GW150914, the era of gravitational-wave astrophysics has started. Gravitational-wave signals emitted by compact binary coalescences will be detected in large number by LIGO and Virgo…

General Relativity and Quantum Cosmology · Physics 2017-03-15 Salvatore Vitale , Ryan Lynch , Riccardo Sturani , Philip Graff

Many astronomical surveys are limited by the brightness of the sources, and gravitational-wave searches are no exception. The detectability of gravitational waves from merging binaries is affected by the mass and spin of the constituent…

General Relativity and Quantum Cosmology · Physics 2022-01-04 Colm Talbot , Eric Thrane

We present a general framework for incorporating astrophysical information into Bayesian parameter estimation techniques used by gravitational wave data analysis to facilitate multi-messenger astronomy. Since the progenitors of transient…

High Energy Astrophysical Phenomena · Physics 2014-10-14 XiLong Fan , Christopher Messenger , Ik Siong Heng

With the growing number of gravitational-wave detections, particularly from binary black hole mergers, there is increasing anticipation that an astrophysical background, formed by an ensemble of faint, high-redshift events, will be observed…

General Relativity and Quantum Cosmology · Physics 2026-01-16 Xiaolin Liu , Sachiko Kuroyanagi

We show that gravitational-wave signals from compact binary mergers may be better distinguished from instrumental noise transients by using Bayesian models that look for signal coherence across a detector network. This can be achieved even…

General Relativity and Quantum Cosmology · Physics 2018-08-30 Maximiliano Isi , Rory Smith , Salvatore Vitale , T. J. Massinger , Jonah Kanner , Avi Vajpeyi

Gravitational wave detection requires an in-depth understanding of the physical properties of gravitational wave signals, and the noise from which they are extracted. Understanding the statistical properties of noise is a complex endeavor,…

General Relativity and Quantum Cosmology · Physics 2019-12-05 Wei Wei , E. A. Huerta

The stochastic gravitational wave background from compact binary coalescences is expected to be the first detectable stochastic signal via cross-correlation searches with terrestrial detectors. It encodes the cumulative merger history of…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Michael Ebersold , Tania Regimbau

Methods for parameter estimation of gravitational-wave data assume that detector noise is stationary and Gaussian. Real data deviates from these assumptions, which causes bias in the inferred parameters and incorrect estimates of the…

General Relativity and Quantum Cosmology · Physics 2023-09-22 Ronaldas Macas , Andrew Lundgren

Folding uncertainty in theoretical models into Bayesian parameter estimation is necessary in order to make reliable inferences. A general means of achieving this is by marginalizing over model uncertainty using a prior distribution…

General Relativity and Quantum Cosmology · Physics 2016-03-04 Christopher J. Moore , Christopher P. L. Berry , Alvin J. K. Chua , Jonathan R. Gair

Gravitational-wave observations of quasicircular compact binary mergers imply complicated posterior measurements of their parameters. Though Gaussian approximations to the pertinent likelihoods have decades of history in the field, the…

Instrumentation and Methods for Astrophysics · Physics 2022-12-08 Vera Delfavero , Richard O'Shaughnessy , Daniel Wysocki , Anjali Yelikar

The standard noise model in gravitational wave (GW) data analysis assumes detector noise is stationary and Gaussian distributed, with a known power spectral density (PSD) that is usually estimated using clean off-source data. Real GW data…

General Relativity and Quantum Cosmology · Physics 2015-09-16 Matthew C. Edwards , Renate Meyer , Nelson Christensen

We describe a general approach to detection of transient gravitational-wave signals in the presence of non-Gaussian background noise. We prove that under quite general conditions, the ratio of the likelihood of observed data to contain a…

Gravitational waves emitted during compact binary coalescences are a promising source for gravitational-wave detector networks. The accuracy with which the location of the source on the sky can be inferred from gravitational wave data is a…

General Relativity and Quantum Cosmology · Physics 2015-06-17 K. Grover , S. Fairhurst , B. F. Farr , I. Mandel , C. Rodriguez , T. Sidery , A. Vecchio

In order to perform Bayesian parameter estimation to infer the source properties of gravitational waves from compact binary coalescences (CBCs), the noise characteristics of the detector must be understood. It is typically assumed that the…

High Energy Astrophysical Phenomena · Physics 2020-07-07 Sylvia Biscoveanu , Carl-Johan Haster , Salvatore Vitale , Jonathan Davies
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