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Bayesian inference for a bivariate binomial distribution. (English) Zbl 0674.62021

Summary: 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.

MSC:

62F15 Bayesian inference
62E15 Exact distribution theory in statistics
62P10 Applications of statistics to biology and medical sciences; meta analysis
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