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The use of the loudest observed event to generate statistical statements about rate and strength has become standard in searches for gravitational waves from compact binaries and pulsars. The Bayesian formulation of the method is…

General Relativity and Quantum Cosmology · Physics 2009-08-17 Rahul Biswas , Patrick R. Brady , Jolien D. E. Creighton , Stephen Fairhurst

Detecting continuous nanohertz gravitational waves (GWs) generated by individual close binaries of supermassive black holes (CB-SMBHs) is one of the primary objectives of pulsar timing arrays (PTAs). The detection sensitivity is slated to…

Instrumentation and Methods for Astrophysics · Physics 2021-12-08 Yu-Yang Songsheng , Yi-Qian Qian , Yan-Rong Li , Pu Du , Jie-Wen Chen , Yan Wang , Soumya D. Mohanty , Jian-Min Wang

Second generation interferometric gravitational wave detectors, such as Advanced LIGO and Advanced Virgo, are expected to begin operation by 2015. Such instruments plan to reach sensitivities that will offer the unique possibility to test…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Walter Del Pozzo , John Veitch , Alberto Vecchio

Bayesian methods for the detection of continuous gravitational waves (CGWs) in Pulsar Timing Array (PTA) data incur substantial computational costs that grow rapidly due to the number of noise and signal parameters characterizing the fitted…

Instrumentation and Methods for Astrophysics · Physics 2026-04-10 Yi-Qian Qian , Yan Wang , Soumya D. Mohanty , Siyuan Chen

Searches for gravitational-wave signals are often based on maximizing a detection statistic over a bank of waveform templates, covering a given parameter space with a variable level of correlation. Results are often evaluated using a…

General Relativity and Quantum Cosmology · Physics 2022-02-15 Rodrigo Tenorio , Luana M. Modafferi , David Keitel , Alicia M. Sintes

We describe a novel approach to the detection and parameter estimation of a non\textendash Gaussian stochastic background of gravitational waves. The method is based on the determination of relevant statistical parameters using importance…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Riccardo Buscicchio , Anirban Ain , Matteo Ballelli , Giancarlo Cella , Barbara Patricelli

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 common task in physics and astronomy is studying which of the competing hypotheses the data prefer. This is usually done by computing the Bayes factor between the two hypotheses, and either interpreting it in terms of the posterior odds…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Ankur Barsode

The millisecond pulsars, old-recycled objects spinning with high frequency $\mathcal{O}$ (kHz) sustaining the deformation from their spherical shape, may emit gravitational waves (GW). These are one of the potential candidates contributing…

General Relativity and Quantum Cosmology · Physics 2023-07-18 Deepali Agarwal , Jishnu Suresh , Vuk Mandic , Andrew Matas , Tania Regimbau

In the coming years, advanced gravitational wave detectors will observe signals from a large number of compact binary coalescences. The majority of these signals will be relatively weak, making the precision measurement of subtle effects,…

Instrumentation and Methods for Astrophysics · Physics 2019-07-03 Aaron Zimmerman , Carl-Johan Haster , Katerina Chatziioannou

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

Fully coherent searches (over realistic ranges of parameter space and year-long observation times) for unknown sources of continuous gravitational waves are computationally prohibitive. Less expensive hierarchical searches divide the data…

General Relativity and Quantum Cosmology · Physics 2009-10-27 Holger J. Pletsch , Bruce Allen

We present a systematic study of likelihood functions used for Stochastic Gravitational Wave Background (SGWB) searches. By dividing the data into many short segments, one customarily takes advantage of the Central Limit Theorem to justify…

General Relativity and Quantum Cosmology · Physics 2025-06-02 Gabriele Franciolini , Mauro Pieroni , Angelo Ricciardone , Joseph D. Romano

In order to separate astrophysical gravitational-wave signals from instrumental noise, which often contains transient non-Gaussian artifacts, astronomers have traditionally relied on bootstrap methods such as time slides. Bootstrap methods…

General Relativity and Quantum Cosmology · Physics 2019-12-25 Gregory Ashton , Eric Thrane , Rory J. E. Smith

A common technique for detection of gravitational-wave signals is searching for excess power in frequency-time maps of gravitational-wave detector data. In the event of a detection, model selection and parameter estimation will be performed…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Michael Coughlin , Nelson Christensen , Jonathan Gair , Shivaraj Kandhasamy , Eric Thrane

In this paper we study the use of cross-correlations between multiple gravitational wave (GW) data streams for detecting long-lived periodic signals. Cross-correlation searches between data from multiple detectors have traditionally been…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sanjeev Dhurandhar , Badri Krishnan , Himan Mukhopadhyay , John T. Whelan

A pulsar timing array is a Galactic-scale detector of nanohertz gravitational waves (GWs). Its target signals contain two components: the `Earth term' and the `pulsar term' corresponding to GWs incident on the Earth and pulsar respectively.…

Instrumentation and Methods for Astrophysics · Physics 2016-07-06 Xingjiang Zhu , Linqing Wen , Jie Xiong , Yanjun Xu , Yan Wang , Soumya D. Mohanty , George Hobbs , Richard N. Manchester

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 (GW) detection is now commonplace and as the sensitivity of the global network of GW detectors improves, we will observe $\mathcal{O}(100)$s of transient GW events per year. The current methods used to estimate their…

Instrumentation and Methods for Astrophysics · Physics 2022-01-21 Hunter Gabbard , Chris Messenger , Ik Siong Heng , Francesco Tonolini , Roderick Murray-Smith

Einstein's theory of general relativity predicts that gravitational waves (GWs) are tensor-polarized, with two modes of polarization: plus ($h_+$) and cross ($h_\times$). The unmodeled GW burst analysis pipeline, \textit{BayesWave}, offers…

General Relativity and Quantum Cosmology · Physics 2025-04-03 Yi Shuen C. Lee , Siddhant Doshi , Margaret Millhouse , Andrew Melatos