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Phys. Rev. D 64, 022001 (2001) [11 pages]

Using Markov chain Monte Carlo methods for estimating parameters with gravitational radiation data

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Nelson Christensen*
Physics and Astronomy, Carleton College, Northfield, Minnesota 55057

Renate Meyer
Department of Statistics, The University of Auckland, Auckland, New Zealand

Received 5 February 2001; published 31 May 2001

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 demonstrate the potential that MCMC techniques may hold for the computation of posterior distributions of parameters of the binary system that created the gravity radiation signal. We describe the use of the Gibbs sampler method, and present examples whereby signals are detected and analyzed from within noisy data.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.64.022001
DOI:
10.1103/PhysRevD.64.022001
PACS:
04.80.Nn, 02.70.Rr, 06.20.Dk

*Email address: nchriste@carleton.edu

Email address: meyer@stat.auckland.ac.nz