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Bayesian Analysis of Linear and Non‐Linear Population Models by Using the Gibbs Sampler

J. C. Wakefield, A. F. M. Smith, A. Racine‐Poon and A. E. Gelfand

Journal of the Royal Statistical Society Series C, 1994, vol. 43, issue 1, 201-221

Abstract: A fully Bayesian analysis of linear and non‐linear population models has previously been unavailable, as a consequence of the seeming impossibility of performing the necessary numerical integrations in the complex multiparameter structures that typically arise in such models. It is demonstrated that, for a variety of linear and non‐linear population models. a fully Bayesian analysis can be implemented in a straightforward manner by using the Gibbs sampler. The approach is illustrated with examples involving challenging problems of outliers and mean–variance relationships in population modelling.

Date: 1994
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