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When searching for gravitational waves in the data from ground-based gravitational wave detectors it is common to use a detection threshold to reduce the number of background events which are unlikely to be the signals of interest. However,…

Instrumentation and Methods for Astrophysics · Physics 2014-01-03 C. Messenger , J. Veitch

A central challenge in Gravitational Wave Astronomy is identifying weak signals in the presence of non-stationary and non-Gaussian noise. The separation of gravitational wave signals from noise requires good models for both. When accurate…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Neil J. Cornish , Tyson B. Littenberg

The article reviews the statistical theory of signal detection in application to analysis of deterministic gravitational-wave signals in the noise of a detector. Statistical foundations for the theory of signal detection and parameter…

General Relativity and Quantum Cosmology · Physics 2023-11-10 Piotr Jaranowski , Andrzej Królak

Gravitational wave burst is a catch-all category for signals whose durations are shorter than the observation period. We apply a method new to gravitational wave data analysis --- Bayesian non-parameterics --- to the problem of…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Xihao Deng

We review and expand on a Bayesian model selection technique for the detection of gravitational waves from neutron star ring-downs associated with pulsar glitches. The algorithm works with power spectral densities constructed from…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J Clark , I S Heng , M Pitkin , G Woan

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

A method is presented to generalize the power detectors for short bursts of gravitational waves that have been developed for single interferometers so that they can optimally process data from a network of interferometers. The performances…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Julien Sylvestre

The determination of the physical parameters of gravitational wave events is a fundamental pillar in the analysis of the signals observed by the current ground-based interferometers. Typically, this is done using Bayesian inference…

General Relativity and Quantum Cosmology · Physics 2023-11-07 M. Andrés-Carcasona , M. Martinez , Ll. M. Mir

Gravitational wave astronomy has tremendous potential for studying extreme astrophysical phenomena and exploring fundamental physics. The waves produced by binary black hole mergers will provide a pristine environment in which to study…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Neil Cornish , Laura Sampson , Nico Yunes , Frans Pretorius

Gravitational wave data from ground-based detectors is dominated by instrument noise. Signals will be comparatively weak, and our understanding of the noise will influence detection confidence and signal characterization. Mis-modeled noise…

General Relativity and Quantum Cosmology · Physics 2015-04-22 Tyson B. Littenberg , Neil J. Cornish

With the advanced LIGO and Virgo detectors taking observations the detection of gravitational waves is expected within the next few years. Extracting astrophysical information from gravitational wave detections is a well-posed problem and…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Tyson B. Littenberg , Jonah B. Kanner , Neil J. Cornish , Margaret Millhouse

The accuracy of Bayesian inference can be negatively affected by the use of inaccurate forward models. In the case of gravitational-wave inference, accurate but computationally expensive waveform models are sometimes substituted with faster…

Instrumentation and Methods for Astrophysics · Physics 2024-04-02 Miaoxin Liu , Xiao-Dong Li , Alvin J. K. Chua

Over the past decade advancements in the understanding of several astrophysical phenomena have allowed us to infer a concordance cosmological model that successfully accounts for most of the observations of our universe. This has opened up…

Cosmology and Nongalactic Astrophysics · Physics 2011-12-13 Irène Balmès , Pier-Stefano Corasaniti

The analysis of gravitational wave interferometer data requires estimates for the noise covariance matrix. For stationary noise, this amounts to estimating the power spectrum. Classical methods such as Welch averaging are used in many…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Toral Gupta , Neil Cornish

Data analysis is the application of probability and statistics to draw inference from observation. Is a signal present or absent? Is the source an inspiraling binary system or a supernova? At what point in the sky is the radiation incident…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lee Samuel Finn

Gravitational wave models are used to infer the properties of black holes in merging binaries from the observed gravitational wave signals through Bayesian inference. Although we have access to a large collection of signal models that are…

General Relativity and Quantum Cosmology · Physics 2022-10-19 Charlie Hoy

In this article, which will appear as a chapter in the Handbook of Gravitational Wave Astronomy, we will describe the detection of gravitational waves with space-based interferometric gravitational wave observatories. We will provide an…

General Relativity and Quantum Cosmology · Physics 2022-01-27 Jonathan R Gair , Martin Hewitson , Antoine Petiteau , Guido Mueller

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

A procedure with a Bayesan approach for calculating upper limits to gravitational wave bursts from coincidence experiments with multiple detectors is described.

General Relativity and Quantum Cosmology · Physics 2011-05-23 P. Astone , G. Pizzella

Gravitational-wave events are interpreted in terms of Bayesian posteriors for their source properties inferred under unphysical reference priors. Though these parameter estimates are important intermediate data products for downstream…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Matthew Mould , Rodrigo Tenorio , Davide Gerosa