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March, 1975 Upper and Lower Posterior Probabilities for Discrete Distributions
Robert Kleyle
Ann. Statist. 3(2): 504-511 (March, 1975). DOI: 10.1214/aos/1176343080


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.


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Robert Kleyle. "Upper and Lower Posterior Probabilities for Discrete Distributions." Ann. Statist. 3 (2) 504 - 511, March, 1975.


Published: March, 1975
First available in Project Euclid: 12 April 2007

zbMATH: 0307.62005
MathSciNet: MR359119
Digital Object Identifier: 10.1214/aos/1176343080

Keywords: 62 , A99 , consistent with the data , observation space , Population space , type one structures , upper and lower posterior probabilities , upper and lower preimages

Rights: Copyright © 1975 Institute of Mathematical Statistics


Vol.3 • No. 2 • March, 1975
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