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Bayesian inference on compact binary inspiral gravitational radiation signals in interferometric data

Christian Röver1, Renate Meyer1 and Nelson Christensen2

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In this paper we present a description of a Bayesian analysis framework for use with interferometric gravitational radiation data in search of binary neutron star inspiral signals. Five parameters are investigated, and the information extracted from the data is illustrated and quantified. The posterior integration is carried out using Markov chain Monte Carlo (MCMC) methods. Implementation details include the use of importance resampling for improved convergence and informative priors reflecting the conditions expected for realistic measurements. An example is presented from an application using realistic, albeit fictitious, data. We expect that these parameter estimation techniques will prove useful at the end of a binary inspiral detection pipeline for interferometric detectors like LIGO or Virgo.


PACS

04.80.Nn Gravitational wave detectors and experiments

02.50.Ng Distribution theory and Monte Carlo studies

97.60.Jd Neutron stars

02.50.Ga Markov processes

MSC

65C05 Monte Carlo methods

62F15 Bayesian inference

83C35 Gravitational waves

60J22 Computational methods in Markov chains (See also 65C40)

Subjects

Computational physics

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 15 (7 August 2006)

Received 17 February 2006, in final form 20 April 2006

Published 11 July 2006



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