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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1007/BF00156751
ISSNs: 0960-3174 (print)
Related URLs:
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
ePrint ID: 46379
Accepted Date and Publication Date:
Date Deposited: 25 Jun 2007
Last Modified: 31 Mar 2016 12:21

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