4.5 Article

Estimating mixtures of regressions

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AMER STATISTICAL ASSOC
DOI: 10.1198/1061860031329

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Bayesian inference; birth-and-death process; label switching; logistic regression; loss functions; MCMC algorithms; Poisson regression; switching regression

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This article shows how Bayesian inference for switching regression models and their generalizations can be achieved by the specification of loss functions which overcome the label switching problem common to all mixture models. We also derive an extension to models where the number of components in the mixture is unknown, based on the birth- and-death technique developed in recent literature. The methods are illustrated on various real datasets.

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