Bayesian finite mixtures: a note on prior specification and posterior computation

Statistics – Methodology

Scientific paper

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14 pages, 5 figures

Scientific paper

A new method for the computation of the posterior distribution of the number k of components in a finite mixture is presented. Two aspects of prior specification are also studied: an argument is made for the use of a Poisson(1) distribution as the prior for k; and methods are given for the selection of hyperparameter values in the mixture of normals model, with natural conjugate priors on the components parameters.

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