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A stochastic gravitational-wave background (SGWB) can arise from the superposition of many independent events. If the rate of events per unit time is sufficiently high, the resulting background is Gaussian, which is to say that it is…

Instrumentation and Methods for Astrophysics · Physics 2013-08-27 Eric Thrane

We address the issue of finding an optimal detection method for a discontinuous or intermittent gravitational wave stochastic background. Such a signal might sound something like popcorn popping. We derive an appropriate version of the…

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

In this work we review the application of the theory of Gaussian processes to the modeling of noise in pulsar-timing data analysis, and we derive various useful and optimized representations for the likelihood expressions that are needed in…

General Relativity and Quantum Cosmology · Physics 2014-11-19 Rutger van Haasteren , Michele Vallisneri

Astrometry, the precise measurement of star motions, offers an alternative avenue to investigate low-frequency gravitational waves through the spatial deflection of photons, complementing pulsar timing arrays reliant on timing residuals.…

General Relativity and Quantum Cosmology · Physics 2024-05-06 Mesut Çalışkan , Yifan Chen , Liang Dai , Neha Anil Kumar , Isak Stomberg , Xiao Xue

Advancements in the sensitivity of gravitational wave detectors have increased the detection rate of transient astrophysical signals. We improve the existing BayesWave initialization algorithm and present a rapid, low latency approximate…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Sudhi Mathur , Neil J. Cornish

Rapidly rotating, slightly non-axisymmetric neutron stars emit nearly periodic gravitational waves (GWs), quite possibly at levels detectable by ground-based GW interferometers. We refer to these sources as "GW pulsars". For any given sky…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Curt Cutler

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

We describe an analysis of the First International Pulsar Timing Array Data Challenge. We employ a robust, unbiased Bayesian framework developed by van Haasteren to study the three Open and Closed datasets, testing various models for each…

Instrumentation and Methods for Astrophysics · Physics 2013-03-14 Stephen R. Taylor , Jonathan R. Gair , L. Lentati

Inferring parameters and testing hypotheses from gravitational wave signals is a computationally intensive task central to modern astrophysics. Nested sampling, a Bayesian inference technique, has become an established standard for this in…

Instrumentation and Methods for Astrophysics · Physics 2025-09-30 David Yallup , Metha Prathaban , James Alvey , Will Handley

Simple analytic expressions are derived for the sensitivity curve of a pulsar timing array (PTA) to both a monochromatic source of gravitational waves and an isotropic stochastic background of gravitational waves. These derivations are…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Christopher J. Moore

Evidence for a low-frequency stochastic gravitational wave background has recently been reported based on analyses of pulsar timing array data. The most likely source of such a background is a population of supermassive black hole binaries,…

High Energy Astrophysical Phenomena · Physics 2023-07-26 Gabriella Agazie , Akash Anumarlapudi , Anne M. Archibald , Zaven Arzoumanian , Paul T. Baker , Bence Bécsy , Laura Blecha , Adam Brazier , Paul R. Brook , Sarah Burke-Spolaor , Robin Case , J. Andrew Casey-Clyde , Maria Charisi , Shami Chatterjee , Tyler Cohen , James M. Cordes , Neil Cornish , Fronefield Crawford , H. Thankful Cromartie , Kathryn Crowter , Megan DeCesar , Paul B. Demorest , Matthew C. Digman , Timothy Dolch , Brendan Drachler , Elizabeth C. Ferrara , William Fiore , Emmanuel Fonseca , Gabriel Freedman , Nathaniel Garver-Daniels , Peter Gentile , Joseph Glaser , Deborah Good , Kayhan Gültekin , Jeffrey Hazboun , Sophie Hourihane , Ross Jennings , Aaron D. Johnson , Megan Jones , Andrew R. Kaiser , David Kaplan , Luke Zoltan Kelley , Matthew Kerr , Joey Key , Nima Laal , Michael Lam , William G. Lamb , T. Joseph W. Lazio , Natalia Lewandowska , Tingting Liu , Duncan R. Lorimer , Jing Santiago Luo , Ryan S. Lynch , Chung-Pei Ma , Dustin Madison , Alexander McEwen , James W. McKee , Maura McLaughlin , Natasha McMann , Bradley W. Meyers , Patrick M. Meyers , Chiara M. F. Mingarelli , andrea mitridate , priya natarajan , Cherry Ng , David Nice , Stella Koch Ocker , Ken Olum , Timothy T. Pennucci , Benetge Perera , Polina Petrov , Nihan Pol , Henri A. Radovan , Scott Ransom , Paul S. Ray , Joseph Romano , Shashwat C. Sardesai , Ann Schmiedekamp , Carl Schmiedekamp , Kai Schmitz , Brent J. Shapiro-Albert , Xavier Siemens , Joseph Simon , Magdalena Siwek , Ingrid Stairs , Dan Stinebring , Kevin Stovall , Abhimanyu Susobhanan , Joseph Swiggum , Jacob Taylor , Stephen Taylor , Jacob E. Turner , Caner Unal , Michele Vallisneri , Rutger van Haasteren , Sarah J. Vigeland , Haley M. Wahl , Caitlin Witt , Olivia Young

The recent announcement of strong evidence for a stochastic gravitational-wave background (SGWB) by various pulsar timing array collaborations has highlighted this signal as a promising candidate for future observations. Despite its…

Instrumentation and Methods for Astrophysics · Physics 2023-12-11 Leo Tsukada

We describe a novel, very fast and robust, directed search incoherent method for periodic gravitational waves (GWs) from neutron stars in binary systems. As directed search, we assume the source sky position to be known with enough…

Instrumentation and Methods for Astrophysics · Physics 2017-06-07 Paola Leaci , Pia Astone , Sabrina D'Antonio , Sergio Frasca , Cristiano Palomba , Ornella Piccinni , Simone Mastrogiovanni

Pulsar Timing Arrays search for nanohertz-frequency gravitational waves by regularly observing ensembles of millisecond pulsars over many years to look for correlated timing residuals. Recently the first evidence for a stochastic…

In this this paper the stochastic background of gravitational waves (SBGWs) is analyzed with the auxilium of the WMAP data. We emphasize that, in general, in previous works in the literature about the SBGWs, old COBE data were used. After…

Astrophysics · Physics 2008-11-26 Christian Corda , Salvatore Capozziello , Mariafelicia De Laurentis

We introduce an algorithm to marginalize the likelihood for a gravitational wave signal from a quasi-circular binary merger over its extrinsic parameters, accounting for the effects of higher harmonics and spin-induced precession. The…

General Relativity and Quantum Cosmology · Physics 2024-08-06 Javier Roulet , Jonathan Mushkin , Digvijay Wadekar , Tejaswi Venumadhav , Barak Zackay , Matias Zaldarriaga

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

The matched filtering paradigm is the mainstay of gravitational wave (GW) searches from astrophysical coalescing compact binaries. The compact binary coalescence (CBC) search pipelines perform the matched filter between the GW detector's…

General Relativity and Quantum Cosmology · Physics 2024-06-19 Chetan Verma , Amit Reza , Dilip Krishnaswamy , Sarah Caudill , Gurudatt Gaur

Pulsar timing arrays can detect continuous nanohertz gravitational waves emitted by individual supermassive black hole binaries. The data analysis procedure can be formulated within a time-domain, state-space framework, in which the radio…

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
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