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Author Christensen, Nelson ♦ Meyer, Renate
Source CiteSeerX
Content type Text
File Format PDF
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Bayesian Gravitational Radiation Data Analysis ♦ Markov Chain Monte Carlo Method ♦ Accurate Determination ♦ Bayesian Approach ♦ Multidimensional Integral ♦ Popular Topic ♦ Important Cosmological Information ♦ Markov Chain Monte Carlo ♦ Critical Task ♦ Signal Parameter ♦ Independent Measurement ♦ Numerous Merger ♦ Parameter Estimation Problem ♦ Compact Binary System ♦ Posterior Distribution ♦ Lq Typeset ♦ Computational Difficulty ♦ Gibbs Sampler ♦ Bayes Estimator
Abstract The LIGO and VIRGO kilometer length laser interferometric gravitational radiation detectors should observe numerous mergers of compact binary systems. The accurate determination of the binary's signal parameters is a critical task for the observers. Important cosmological information, such as an independent measurement of the Hubble constant, can be derived if an accurate determination of the distance to the event is achieved. A Bayesian approach to the parameter estimation problem has become a popular topic. Unfortunately the multidimensional integrals that are inherent in the calculation of the Bayes estimator can be computationally prohibitive. In this paper we show that computational difficulties can be overcome by using the Gibbs sampler to calculate posterior distributions. The Bayesian approach and its implementation via Markov Chain Monte Carlo is illustrated by way of an example involving four parameters. 04.80.Nn, 06.20.Dk, 02.70.Lq Typeset using REVT E X 1 I...
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article
Publisher Date 1998-01-01