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Biometrika 1989 76(3):599-603; doi:10.1093/biomet/76.3.599
© 1989 by Biometrika Trust
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MISCELLANEA

Bayesian inference for a bivariate binomial distribution

MARTIN CROWDER and TREVOR SWEETING

Department of Mathematics, University of Surrey Guildford, Surrey GU2 5XH, U.K.

A bivariate distribution is investigated in connection with an application in microbiology. It has binomial marginal and conditional distributions. The parameter structure is examined, and it is shown that a conjugate Bayesian prior distribution arises from prior independence specifications. Under these specifications the usual limiting conjugate prior can be obtained via invariance considerations.

Key Words: Bayesian ignorance prior • Bayesian reference prior • Bivariate binomial distribution


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