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Parameter estimation of binary-black-hole merger events in gravitational-wave data relies on matched-filtering techniques, which, in turn, depend on accurate model waveforms. Here we characterize the systematic biases introduced in…

General Relativity and Quantum Cosmology · Physics 2013-05-08 Tyson B. Littenberg , John G. Baker , Alessandra Buonanno , Bernard J. Kelly

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

The gravitational wave signal of binary compact objects has two main contributions at frequencies below the characteristic merger frequency: the gravitational wave signal associated with the early inspiral stage of the binary and the…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-09 Silvia Gasparotto , Gabriele Franciolini , Valerie Domcke

The massive black holes we observe in galaxies today are the natural end-product of a complex evolutionary path, in which black holes seeded in proto-galaxies at high redshift grow through cosmic history via a sequence of mergers and…

Cosmology and Nongalactic Astrophysics · Physics 2011-03-23 Alberto Sesana , Jonathan R. Gair , Emanuele Berti , Marta Volonteri

Activities in data analysis and numerical simulation of gravitational waves have to date largely proceeded independently. In this work we study how waveforms obtained from numerical simulations could be effectively used within the data…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas Baumgarte , Patrick Brady , Jolien D E Creighton , Luis Lehner , Frans Pretorius , Ricky DeVoe

Gravitational Waves (GWs) provide a powerful means for cosmological distance estimation, circumventing the systematic uncertainties associated with traditional electromagnetic (EM) indicators. This work presents a model for estimating…

General Relativity and Quantum Cosmology · Physics 2025-08-14 Trisha V , Rakesh V , Arun Kenath

We present a parameter estimation framework for gravitational wave (GW) signals that brings together several ideas to accelerate the inference process. First, we use the relative binning algorithm to evaluate the signal-to-noise-ratio…

General Relativity and Quantum Cosmology · Physics 2022-10-31 Tousif Islam , Javier Roulet , Tejaswi Venumadhav

Since the very first detection of gravitational waves from the coalescence of two black holes in 2015, Bayesian statistical methods have been routinely applied by LIGO and Virgo to extract the signal out of noisy interferometric…

General Relativity and Quantum Cosmology · Physics 2020-09-23 Renate Meyer , Matthew C. Edwards , Patricio Maturana-Russel , Nelson Christensen

We consider the Bayesian detection statistic for a targeted search for continuous gravitational waves, known as the $\mathcal{B}$-statistic. This is a Bayes factor between signal and noise hypotheses, produced by marginalizing over the four…

General Relativity and Quantum Cosmology · Physics 2018-12-19 John J. Bero , John T. Whelan

We give formulas for individual black hole masses in a merger, by using Newtonian physics, in terms of the three measured quantities in the detector: the initial wave frequency $f_1$, the maximum detected frequency (chirp frequency) $f_2$,…

General Relativity and Quantum Cosmology · Physics 2024-01-17 Zeynep Tugce Ozkarsligil , Bayram Tekin

Gravitational waves emitted by a ringing black hole allow us to perform precision tests of general relativity in the strong field regime. With improvements to our current gravitational wave detectors and upcoming next-generation detectors,…

General Relativity and Quantum Cosmology · Physics 2024-12-04 Costantino Pacilio , Swetha Bhagwat , Roberto Cotesta

With the advance in computational resources, Bayesian inference is increasingly becoming the standard tool of practise in GW astronomy. However, algorithms such as Markov Chain Monte Carlo (MCMC) require a large number of iterations to…

General Relativity and Quantum Cosmology · Physics 2014-11-04 Edward K. Porter

Due to its speed after training, machine learning is often envisaged as a solution to a manifold of the issues faced in gravitational-wave astronomy. Demonstrations have been given for various applications in gravitational-wave data…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Jurriaan Langendorff , Alex Kolmus , Justin Janquart , Chris Van Den Broeck

Accurate extractions of the detected gravitational wave (GW) signal waveforms are essential to validate a detection and to probe the astrophysics behind the sources producing the GWs. This however could be difficult in realistic scenarios…

General Relativity and Quantum Cosmology · Physics 2021-09-20 Chayan Chatterjee , Linqing Wen , Foivos Diakogiannis , Kevin Vinsen

The observed distributions of the source properties from gravitational-wave detections are biased due to the selection effects and detection criteria in the detections, analogous to the Malmquist bias. In this work, this observation bias is…

General Relativity and Quantum Cosmology · Physics 2021-12-15 Doğa Veske , Imre Bartos , Zsuzsa Márka , Szabolcs Márka

The properties of the population of merging binary black holes encode some of the uncertain physics of the evolution of massive stars in binaries. The binary black hole merger rate and chirp mass distribution are being measured by…

Study of gravitational-radiation induced merging rates of relativistic binary stars (double neutron stars; neutron star + black hole; double black holes) shows that the first-generation gravitational wave interferometers with an…

Astrophysics · Physics 2016-08-30 V. M. Lipunov , K. A. Postnov , M. E. Prokhorov

In the flourishing field of gravitational-wave astronomy, accurately inferring binary black hole merger formation channels is paramount. The Bayesian hierarchical model selection analysis offers a promising methodology (see, e.g., One…

High Energy Astrophysical Phenomena · Physics 2023-10-18 Ryan Raikman , Simone Bavera , Tassos Fragos

Gravitational waves (GWs) signals detected by the LIGO/Virgo/KAGRA collaboration might be sourced (partly) by the merges of primordial black holes (PBHs). The conventional hierarchical Bayesian inference methods can allow us to study…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Hai-Long Huang , Zhan-He Wang , Qing-Yu Lan , Jun-Qian Jiang , Jibin He , Yu-Tong Wang , Jun Zhang , Yun-Song Piao

Orbital eccentricity is a crucial physical effect to unveil the origin of compact-object binaries detected by ground- and spaced-based gravitational-wave (GW) observatories. Here, we perform for the first time a Bayesian inference study of…

General Relativity and Quantum Cosmology · Physics 2023-09-28 Antoni Ramos-Buades , Alessandra Buonanno , Jonathan Gair