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Sequential MCMC for Bayesian model selection

Andrieu, C.   De Freitas, N.   Doucet, A.  
Dept. of Eng., Cambridge Univ.;

This paper appears in: Higher-Order Statistics, 1999. Proceedings of the IEEE Signal Processing Workshop on
Publication Date: 1999
On page(s): 130-134
Meeting Date: 06/14/1999 - 06/16/1999
Location: Caesarea, Israel
ISBN: 0-7695-0140-0
References Cited: 16
INSPEC Accession Number: 6430574
Digital Object Identifier: 10.1109/HOST.1999.778709
Posted online: 2002-08-06 23:02:41.0

Abstract
In this paper, we address the problem of sequential Bayesian model selection. This problem does not usually admit any closed-form analytical solution. We propose here an original sequential simulation-based method to solve the associated Bayesian computational problems. This method combines sequential importance sampling, a resampling procedure and reversible jump MCMC (Markov chain Monte Carlo) moves. We describe a generic algorithm and then apply it to the problem of sequential Bayesian model order estimation of autoregressive (AR) time series observed in additive noise

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