Upper and Lower Posterior Probabilities for Discrete Distributions
The Annals of Statistics · 1975 · Volume 3 · Issue 2
Abstract
Dempster (1966) defines two sampling models which he labels structures of the first and second types. In this paper we consider the application of the type one model to the problem of finding upper and lower posterior probabilities when sampling from discrete univariate distributions whose suppower consists of the set of noinnegative integers. Specific results are obtained for the Poisson and geometric distributions.
Keywords
62, A99, consistent with the data, observation space, Population space, type one structures, upper and lower posterior probabilities, upper and lower preimages
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