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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

We present in this paper a Bayesian parameter estimation method for the analysis of interferometric gravitational wave observations of an inspiral of binary compact objects using data recorded simultaneously by a network of several…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian Röver , Renate Meyer , Gianluca M. Guidi , Andrea Viceré , Nelson Christensen

This review provides a conceptual and technical survey of methods for parameter estimation of gravitational wave signals in ground-based interferometers such as LIGO and Virgo. We introduce the framework of Bayesian inference and provide an…

General Relativity and Quantum Cosmology · Physics 2024-07-01 Javier Roulet , Tejaswi Venumadhav

Bayesian model selection provides a powerful and mathematically transparent framework to tackle hypothesis testing, such as detection tests of gravitational waves emitted during the coalescence of binary systems using ground-based laser…

General Relativity and Quantum Cosmology · Physics 2009-11-13 John Veitch , Alberto Vecchio

We construct an efficient frequency domain waveform for generic circular compact object binaries that include neutron stars. The orbital precession is solved on the radiation reaction timescale (and then transformed to the frequency…

General Relativity and Quantum Cosmology · Physics 2023-08-28 Michael LaHaye , Huan Yang , Béatrice Bonga , Zhenwei Lyu

Gravitational waves (GWs) have enabled direct detections of compact binary coalescences (CBCs). However, their poor sky localisation and the typical lack of observable electromagnetic (EM) counterparts make it difficult to confidently…

High Energy Astrophysical Phenomena · Physics 2025-10-17 Avinash Tiwari , Aditya Vijaykumar , Shasvath J. Kapadia , Sourav Chatterjee , Giacomo Fragione

In the gravitational-wave analysis of pulsar-timing-array datasets, parameter estimation is usually performed using Markov Chain Monte Carlo methods to explore posterior probability densities. We introduce an alternative procedure that…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Michele Vallisneri , Marco Crisostomi , Aaron D. Johnson , Patrick M. Meyers

We present an improved search for binary compact-object mergers using a network of ground-based gravitational-wave detectors. We model a volumetric, isotropic source population and incorporate the resulting distribution over signal…

General Relativity and Quantum Cosmology · Physics 2018-05-29 Alexander H. Nitz , Thomas Dent , Tito Dal Canton , Stephen Fairhurst , Duncan A. Brown

We currently lack good waveform models for many gravitational wave sources. Examples where models are lacking include neutron star post merger signals, core collapse supernovae, and signals of unknown origin. Wavelet based techniques have…

General Relativity and Quantum Cosmology · Physics 2024-04-19 Toral Gupta , Neil Cornish

Tests of general relativity (GR) with gravitational waves (GWs) introduce additional deviation parameters in the waveform model. The enlarged parameter space makes inference computationally costly, which has so far limited systematic,…

General Relativity and Quantum Cosmology · Physics 2026-04-06 Dhruv Kumar , Ish Gupta , Bangalore Sathyaprakash

The paper presents a statistical model which reproduces the results of Monte Carlo simulations to estimate the parameters of the gravitational wave signal from a coalesing binary system. The model however is quite general and would be…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Balasubramanian , S. V. Dhurandhar

Estimating the parameters of compact binaries which coalesce and produce gravitational waves is a challenging Bayesian inverse problem. Gravitational-wave parameter estimation lies within the class of multifidelity problems, where a variety…

General Relativity and Quantum Cosmology · Physics 2024-05-31 Bassel Saleh , Aaron Zimmerman , Peng Chen , Omar Ghattas

Third-generation (3G) gravitational-wave detectors will observe thousands of coalescing neutron star binaries with unprecedented fidelity. Extracting the highest precision science from these signals is expected to be challenging owing to…

The next generation of ground-based gravitational-wave detectors are likely to observe gravitational waves from the coalescences of compact-objects binaries. We describe the state of the art for predictions of the rate of compact-binary…

High Energy Astrophysical Phenomena · Physics 2010-01-19 Ilya Mandel , Vicky Kalogera , Richard O'Shaughnessy

Extracting the properties of a binary system emitting gravitational waves relies on models describing the last stages of the compact binary coalescence. In this article, we study potential biases inherent to current tidal waveform…

General Relativity and Quantum Cosmology · Physics 2019-07-31 Anuradha Samajdar , Tim Dietrich

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

The effect of the recently obtained 2nd post-Newtonian corrections on the accuracy of estimation of parameters of the gravitational-wave signal from a coalescing binary is investigated. It is shown that addition of this correction degrades…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Andrzej Królak , Kostas D. Kokkotas , Gerhard Schäfer

Coalescing compact binaries have been pointed out as the most promising source of gravitational waves for kilometer-size interferometers such as LIGO. Gravitational wave signals are extracted from the noise in the detectors by matched…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Karl Martel

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

Using relative stellar astrometry for the detection of coherent gravitational wave sources is a promising method for the microhertz range, where no dedicated detectors currently exist. Compared to other gravitational wave detection…

Instrumentation and Methods for Astrophysics · Physics 2025-06-25 Benjamin Zhang , Kris Pardo , Yijun Wang , Luke Bouma , Tzu-Ching Chang , Olivier Doré
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