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The calculation of posterior distributions by data augmentation. (English) Zbl 0619.62029
Data augmentation is a scheme of augmenting observed data to make them easier to analyse; this arises in estimation problems where there are missing values. An algorithm for the Bayesian analysis of augmented data using simulation techniques is presented where the posterior distribution of the parameters of interest is obtained by using the predictive distribution of the augmenting or latent data given the observed data.
The paper is followed by a discussion with contributions from A. P. Dempster, C. N. Morris, D. B. Rubin, S. J. Haberman and A. O’Hagan and a rejoinder by the authors.
Reviewer: P.W.Jones

62F15 Bayesian inference
65C05 Monte Carlo methods
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