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Calculation of marginal densities for parameters of multinomial distributions

Forster, Jonathan J. and Skene, Allan M. (1994) Calculation of marginal densities for parameters of multinomial distributions Statistics and Computing, 4, (4), pp. 279-286. (doi:10.1007/BF00156751).

Record type: Article

Abstract

The full Bayesian analysis of multinomial data using informative and flexible prior distributions has, in the past, been restricted by the technical problems involved in performing the numerical integrations required to obtain marginal densities for parameters and other functions thereof. In this paper it is shown that Gibbs sampling is suitable for obtaining accurate approximations to marginal densities for a large and flexible family of posterior distributions—the family. The method is illustrated with a three-way contingency table. Two alternative Monte Carlo strategies are also discussed.

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More information

Published date: 1994
Keywords: multinomial distribution, bayesian analysis, gibbs sampling, Å family
Organisations: Statistics

Identifiers

Local EPrints ID: 46379
URI: http://eprints.soton.ac.uk/id/eprint/46379
ISSN: 0960-3174
PURE UUID: 6eb45d5e-13cf-460f-aa79-a4eb5bef414e

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Date deposited: 25 Jun 2007
Last modified: 17 Jul 2017 15:08

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