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We examine the accuracy of estimation of parameters of the gravitational-wave signals from spinning neutron stars that can be achieved from observations by Earth-based laser interferometers. We consider a model of the signal consisting of…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Piotr Jaranowski , Andrzej Królak

We present a Markov chain Monte Carlo technique for detecting gravitational radiation from a neutron star in laser interferometer data. The algorithm can estimate up to six unknown parameters of the target, including the rotation frequency…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Richard Umstätter , Renate Meyer , Réjean J. Dupuis , John Veitch , Graham Woan , Nelson Christensen

Presented in this paper is a Markov chain Monte Carlo (MCMC) routine for conducting coherent parameter estimation for interferometric gravitational wave observations of an inspiral of binary compact objects using data from multiple…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Christian Röver , Renate Meyer , Nelson Christensen

We present a theoretical background for the data analysis of the gravitational-wave signals from spinning neutron stars for Earth-based laser interferometric detectors. We introduce a detailed model of the signal including both the…

广义相对论与量子宇宙学 · 物理学 2009-12-30 Piotr Jaranowski , Andrzej Królak , Bernard F. Schutz

We propose a novel Metropolis-Hastings algorithm to sample uniformly from the space of correlation matrices. Existing methods in the literature are based on elaborated representations of a correlation matrix, or on complex parametrizations…

统计计算 · 统计学 2019-10-18 Irene Córdoba , Gherardo Varando , Concha Bielza , Pedro Larrañaga

Markov Chain Monte Carlo methods are widely used in signal processing and communications for statistical inference and stochastic optimization. In this work, we introduce an efficient adaptive Metropolis-Hastings algorithm to draw samples…

统计计算 · 统计学 2016-03-17 David Luengo , Luca Martino

We present a Bayesian approach to the problem of determining parameters for coalescing binary systems observed with laser interferometric detectors. By applying a Markov Chain Monte Carlo (MCMC) algorithm, specifically the Gibbs sampler, we…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Nelson Christensen , Renate Meyer

We present a parameter estimation procedure based on a Bayesian framework by applying a Markov Chain Monte Carlo algorithm to the calibration of the dynamical parameters of a space based gravitational wave detector. The method is based on…

广义相对论与量子宇宙学 · 物理学 2012-12-03 Luigi Ferraioli , Edward K. Porter , Eric Plagnol

We develop the analytic and numerical tools for data analysis of the gravitational-wave signals from spinning neutron stars for ground-based laser interferometric detectors. We study in detail the statistical properties of the optimum…

广义相对论与量子宇宙学 · 物理学 2009-12-30 Piotr Jaranowski , Andrzej Krolak

Monte Carlo (MC) sampling methods are widely applied in Bayesian inference, system simulation and optimization problems. The Markov Chain Monte Carlo (MCMC) algorithms are a well-known class of MC methods which generate a Markov chain with…

统计方法学 · 统计学 2024-06-21 Luca Martino , Victor Elvira

The Metropolis-Hastings (MH) algorithm is one of the most widely used Markov Chain Monte Carlo schemes for generating samples from Bayesian posterior distributions. The algorithm is asymptotically exact, flexible and easy to implement.…

统计方法学 · 统计学 2026-03-10 Estevão Prado , Christopher Nemeth , Chris Sherlock

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

Global fits of physics models require efficient methods for exploring high-dimensional and/or multimodal posterior functions. We introduce a novel method for accelerating Markov Chain Monte Carlo (MCMC) sampling by pairing a…

高能物理 - 唯象学 · 物理学 2023-09-06 N. T. Hunt-Smith , W. Melnitchouk , F. Ringer , N. Sato , A. W Thomas , M. J. White

Particle Metropolis-Hastings (PMH) allows for Bayesian parameter inference in nonlinear state space models by combining Markov chain Monte Carlo (MCMC) and particle filtering. The latter is used to estimate the intractable likelihood. In…

统计计算 · 统计学 2016-04-01 Johan Dahlin , Fredrik Lindsten , Thomas B. Schön

The Metropolis algorithm is a Markov chain Monte Carlo (MCMC) algorithm used to simulate from parameter distributions of interest, such as generalized linear model parameters. The "Metropolis step" is a keystone concept that underlies…

统计计算 · 统计学 2023-08-31 Alexander P Keil , Jessie K Edwards , Ashley I Naimi , Stephen R Cole

I show how Markov chain sampling with the Metropolis-Hastings algorithm can be modified so as to take bigger steps when the distribution being sampled from has the characteristic that its density can be quickly recomputed for a new point if…

统计理论 · 数学 2007-06-13 Radford M. Neal

A hidden Markov model (HMM) solved recursively by the Viterbi algorithm can be configured to search for persistent, quasimonochromatic gravitational radiation from an isolated or accreting neutron star, whose rotational frequency is unknown…

广义相对论与量子宇宙学 · 物理学 2021-09-01 A. Melatos , P. Clearwater , S. Suvorova , L. Sun , W. Moran , R. J. Evans

We introduce a modification of the well-known Metropolis importance sampling algorithm by using a methodology inspired on the consideration of the reparametrization invariance of the microcanonical ensemble. The most important feature of…

统计力学 · 物理学 2007-05-23 L. Velazquez , J. C. Castro Palacio

We describe the consistency testing of a new code for gravitational wave signal parameter estimation in known pulsar searches. The code uses an implementation of nested sampling to explore the likelihood volume. Using fake signals and…

高能天体物理现象 · 物理学 2015-06-04 M. Pitkin , C. Gill , J. Veitch , E. Macdonald , G. Woan

The coalescence of binary neutron stars are one of the main sources of gravitational waves for ground-based gravitational wave detectors. As Bayesian inference for binary neutron stars is computationally expensive, more efficient and faster…

广义相对论与量子宇宙学 · 物理学 2019-11-20 Yann Bouffanais , Edward K. Porter
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