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The detection and estimation of gravitational wave (GW) signals belonging to a parameterized family of waveforms requires, in general, the numerical maximization of a data-dependent function of the signal parameters. Due to noise in the…

广义相对论与量子宇宙学 · 物理学 2010-04-21 Yan Wang , Soumya D. Mohanty

Presented is a description of a Markov chain Monte Carlo (MCMC) parameter estimation routine for use with interferometric gravitational radiational data in searches for binary neutron star inspiral signals. Five parameters associated with…

广义相对论与量子宇宙学 · 物理学 2016-08-16 Christian Röver , Renate Meyer , Nelson Christensen

The detection of gravitational waves (GWs) from binary neutron stars (BNSs) with possible telescope follow-ups opens a window to ground-breaking discoveries in the field of multi-messenger astronomy. With the improved sensitivity of current…

天体物理仪器与方法 · 物理学 2025-03-17 Ana Martins , Melissa Lopez , Quirijn Meijer , Gregory Baltus , Marc van der Sluys , Chris Van Den Broeck , Sarah Caudill

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…

广义相对论与量子宇宙学 · 物理学 2023-11-07 M. Andrés-Carcasona , M. Martinez , Ll. M. Mir

Gravitational waves (GWs) passing through the Earth cause a correlated pattern of time-dependent deflections of the apparent position of astronomical sources. We build upon standard lensing reconstruction techniques to develop a new…

宇宙学与河外天体物理 · 物理学 2026-02-05 Alvin Leluc , Joel Meyers , Alexander van Engelen

Using public pulse time-of-arrival data from five pulsar timing arrays (PTAs), we search for a stationary, isotropic, and unpolarized nHz stochastic gravitational-wave background (SGWB). This analysis is more sensitive than previous…

宇宙学与河外天体物理 · 物理学 2026-04-29 Wang-Wei Yu , Bruce Allen

State-of-the-art searches for gravitational waves (GWs) in pulsar timing array (PTA) datasets model the signal as an isotropic, Gaussian and stationary process described by a power-law. In practice, none of these properties are expected to…

高能天体物理现象 · 物理学 2024-03-25 Serena Valtolina , Golam Shaifullah , Anuradha Samajdar , Alberto Sesana

In the multi-messenger astronomy era, accurate sky localization and low latency time of gravitational-wave (GW) searches are keys in triggering successful follow-up observations on the electromagnetic counterpart of GW signals. We, in this…

天体物理仪器与方法 · 物理学 2020-04-08 Kyungmin Kim , Tjonnie G. F. Li , Rico K. L. Lo , Surabhi Sachdev , Robin S. H. Yuen

Bayesian model-based clustering is a widely applied procedure for discovering groups of related observations in a dataset. These approaches use Bayesian mixture models, estimated with MCMC, which provide posterior samples of the model…

统计方法学 · 统计学 2018-09-24 Ketong Wang , Michael D. Porter

Generalized linear mixed models (GLMM) are used for inference and prediction in a wide range of different applications providing a powerful scientific tool. An increasing number of sources of data are becoming available, introducing a…

统计计算 · 统计学 2019-03-19 Aliaksandr Hubin , Geir Storvik

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…

天体物理仪器与方法 · 物理学 2017-06-07 Paola Leaci , Pia Astone , Sabrina D'Antonio , Sergio Frasca , Cristiano Palomba , Ornella Piccinni , Simone Mastrogiovanni

The use of a high precision pulsar timing array is a promising approach to detecting gravitational waves in the very low frequency regime ($10^{-6} -10^{-9}$ Hz) that is complementary to the ground-based efforts (e.g., LIGO, Virgo) at high…

天体物理仪器与方法 · 物理学 2015-06-22 Yan Wang , Soumya D. Mohanty , Fredrick A. Jenet

In the first two years of Gravitational Wave (GW) Astronomy, half a dozen compact binary coalescences (CBCs) have been detected. As the sensitivities and bandwidths of the detectors improve and new detectors join the network, many more…

天体物理仪器与方法 · 物理学 2019-07-03 Bhooshan Gadre , Sanjit Mitra , Sanjeev Dhurandhar

Approximations are commonly employed in realistic applications of scientific Bayesian inference, often due to convenience if not necessity. In the field of gravitational-wave (GW) data analysis, fast-to-evaluate but approximate waveform…

广义相对论与量子宇宙学 · 物理学 2024-04-03 Ruiting Mao , Jeong Eun Lee , Ollie Burke , Alvin J. K. Chua , Matthew C. Edwards , Renate Meyer

Globular clusters (GCs) are crucial for studying stellar dynamics and galactic structure, yet precise measurements of their distances and masses are often limited by uncertainties in electromagnetic (EM) observations. We present a novel…

广义相对论与量子宇宙学 · 物理学 2025-08-07 Jie Wu , Yao Xiao , Mengfei Sun , Jin Li

Searches for continuous gravitational waves from unknown neutron stars are limited in sensitivity due to their high computational cost. For this reason, developing new methods or improving existing ones can increase the probability of…

广义相对论与量子宇宙学 · 物理学 2024-04-30 P. B. Covas , R. Prix , J. Martins

This paper proposes a new approach for Bayesian and maximum likelihood parameter estimation for stationary Gaussian processes observed on a large lattice with missing values. We propose an MCMC approach for Bayesian inference, and a Monte…

统计计算 · 统计学 2014-02-19 Jonathan R. Stroud , Michael L. Stein , Shaun Lysen

A new detection method for gravitational waves (GWs) with ultra-low frequencies ($f_{\rm GW} \lesssim 10^{-10}~{\rm Hz}$), which is much lower than the range of pulsar timing arrays (PTAs), was proposed in Yonemaru et al. (2016). This…

高能天体物理现象 · 物理学 2019-05-29 Shinnosuke Hisano , Naoyuki Yonemaru , Hiroki Kumamoto , Keitaro Takahashi

Leveraging Markov chain Monte Carlo (MCMC) optimization of the F-statistic, we introduce a method for the hierarchical follow-up of continuous gravitational wave candidates identified by wide-parameter space semi-coherent searches. We…

天体物理仪器与方法 · 物理学 2018-06-06 Gregory Ashton , Reinhard Prix

In recent years, methods for Bayesian inference have been widely used in many different problems in physics where detection and characterization are necessary. Data analysis in gravitational-wave astronomy is a prime example of such a case.…

天体物理仪器与方法 · 物理学 2023-10-11 Nikolaos Karnesis , Michael L. Katz , Natalia Korsakova , Jonathan R. Gair , Nikolaos Stergioulas