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We present two methods for determining the significance of a stochastic gravitational-wave (GW) background affecting a pulsar-timing array, where detection is based on evidence for quadrupolar spatial correlations between pulsars. Rather…

Instrumentation and Methods for Astrophysics · Physics 2017-02-13 S. R. Taylor , L. Lentati , S. Babak , P. Brem , J. R. Gair , A. Sesana , A. Vecchio

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

We report the results of an in-depth analysis of the parameter estimation capabilities of BayesWave, an algorithm for the reconstruction of gravitational-wave signals without reference to a specific signal model. Using binary black hole…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Francesco Pannarale , Ronaldas Macas , Patrick J. Sutton

The excitation of quadrupolar quasi-normal modes in a neutron star leads to the emission of a short, distinctive, burst of gravitational radiation in the form of a decaying sinusoid or `ring-down'. We present a Bayesian analysis method…

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

A world-wide array of highly sensitive interferometers stands poised to usher in a new era in astronomy with the first direct detection of gravitational waves. The data from these instruments will provide a unique perspective on extreme…

General Relativity and Quantum Cosmology · Physics 2013-02-27 Neil J. Cornish

We discuss the detection of gravitational-wave backgrounds in the context of Bayesian inference and suggest a practical definition of what it means for a signal to be considered stochastic---namely, that the Bayesian evidence favors a…

General Relativity and Quantum Cosmology · Physics 2015-08-12 Neil J. Cornish , Joseph D. Romano

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…

The stochastic cosmological gravitational-wave background (CGWB) provides a direct window to study early universe phenomena and fundamental physics. With the proposed third-generation ground-based gravitational wave detectors, Einstein…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Ashish Sharma , Jan Harms

Gravitational waves provide a new probe of the Universe which can reveal a number of cosmological and astrophysical phenomena that cannot be observed by electromagnetic waves. Different frequencies of gravitational waves are detected by…

General Relativity and Quantum Cosmology · Physics 2021-11-08 Jun'ichi Yokoyama

Beyond individually resolvable gravitational wave events such as binary black hole and binary neutron star mergers, the superposition of many more weak signals coming from a multitude of sources is expected to contribute to an overall…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Nick van Remortel , Kamiel Janssens , Kevin Turbang

Gravitational-wave data analysis demands sophisticated statistical noise models in a bid to extract highly obscured signals from data. In Bayesian model comparison, we choose among a landscape of models by comparing their marginal…

Instrumentation and Methods for Astrophysics · Physics 2019-06-12 Haochen Wang , Stephen R. Taylor , Michele Vallisneri

The data analysis problem of coherently searching for unmodeled gravitational-wave bursts in the data generated by a global network of gravitational-wave observatories has been at the center of research for almost two decades. As data from…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Antony C. Searle , Patrick J. Sutton , Massimo Tinto

We derive a detection method for a stochastic background of gravitational waves produced by events where the ratio of the average time between events to the average duration of an event is large. Such a signal would sound something like…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Steve Drasco , Eanna E. Flanagan

Gravitational wave detectors will need optimal signal-processing algorithms to extract weak signals from the detector noise. Most algorithms designed to date are based on the unrealistic assumption that the detector noise may be modeled as…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Bruce Allen , Jolien D. E. Creighton , Eanna E. Flanagan , Joseph D. Romano

This thesis presents advancements in the detection of gravitational waves from compact binary coalescences, utilising the most sensitive observatories constructed to date. The research focuses on enhancing gravitational-wave signal searches…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Arthur Tolley

We search for the signature of an isotropic stochastic gravitational-wave background in pulsar timing observations using a frequency-domain correlation technique. These observations, which span roughly 12 yr, were obtained with the 64-m…

Gravitational waves (GWs) from compact binary stars at cosmological distances are promising and powerful cosmological probes, referred to as the GW standard sirens. With future GW detectors, we will be able to precisely measure source…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-30 Toshiya Namikawa , Atsushi Nishizawa , Atsushi Taruya

We introduce a new method designed for Bayesian inference of the angular power spectrum of the Gravitational Wave Background (GWB) anisotropy. This scheme works with time-series data and can optionally incorporate the cross-correlations…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-19 Chi Tian , Ran Ding , Xiao-Xiao Kou

Ground-based gravitational wave detectors are now routinely surveying the dark Universe, finding hundreds of collisions between compact objects such as black holes and neutron stars. However, terrestrial non-Gaussian noise artefacts,…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Gregory Ashton , Colm Talbot , Andrew Lundgren , Ann-Kristin Malz , Joseph Areeda

There is a broad class of astrophysical sources that produce detectable, transient, gravitational waves. Some searches for transient gravitational waves are tailored to known features of these sources. Other searches make few assumptions…