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.
Sequential MCMC for Bayesian model selection
C. Andrieu,N. de Freitas,A. Doucet
Published 1999 in Proceedings of the IEEE Signal Processing Workshop on Higher-Order Statistics. SPW-HOS '99
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- Publication year
1999
- Venue
Proceedings of the IEEE Signal Processing Workshop on Higher-Order Statistics. SPW-HOS '99
- Publication date
1999-06-14
- Fields of study
Mathematics, Computer Science
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