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Bayesian Inference on Mixtures of Distributions

arXiv (Cornell University)Published 15 April 2008Open access
Kate Lee, Jean‐Michel Marin, Inria Saclay, Kerrie Mengersen
Citations37
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TL;DR

This survey covers state-of-the-art Bayesian techniques for the estimation of mixtures by studying new types of distributions, the multinomial, latent class and t distributions and sheds a new light on the computation of Bayes factors via the approximation of Chib (1995).

Abstract

This survey covers state-of-the-art Bayesian techniques for the estimation of mixtures. It complements the earlier Marin, Mengersen and Robert (2005) by studying new types of distributions, the multinomial, latent class and t distributions. It also exhibits closed form solutions for Bayesian inference in some discrete setups. Lastly, it sheds a new light on the computation of Bayes factors via the approximation of Chib (1995).

Keywords

Computer ScienceMathematics