The Annals of Statistics

Upper and Lower Posterior Probabilities for Discrete Distributions

Robert Kleyle

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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.

Article information

Source
Ann. Statist., Volume 3, Number 2 (1975), 504-511.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176343080

Digital Object Identifier
doi:10.1214/aos/1176343080

Mathematical Reviews number (MathSciNet)
MR359119

Zentralblatt MATH identifier
0307.62005

JSTOR
links.jstor.org

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

Citation

Kleyle, Robert. Upper and Lower Posterior Probabilities for Discrete Distributions. Ann. Statist. 3 (1975), no. 2, 504--511. doi:10.1214/aos/1176343080. https://projecteuclid.org/euclid.aos/1176343080


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