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), 279-286. (doi:10.1007/BF00156751).
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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.
|Keywords:||multinomial distribution, bayesian analysis, gibbs sampling, Å family|
|Subjects:||Q Science > QA Mathematics
H Social Sciences > HA Statistics
|Divisions:||University Structure - Pre August 2011 > Southampton Statistical Sciences Research Institute
University Structure - Pre August 2011 > School of Mathematics > Statistics
|Date Deposited:||25 Jun 2007|
|Last Modified:||06 Aug 2015 02:38|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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