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Some properties of the negative hypergeometric distribution and its limit distribution. (English) Zbl 0177.47501

Summary: This paper deals with a class of frequency distributions consisting of the negative hypergeometric distribution and its limit cases, namely, the negative binomial, binomial, Poisson, gamma, beta and normal distributions. In view of the relationships existing between the various members of this class, it is found convenient to discuss jointly for all the distributions certain topics, including additivity properties, a property related to the information measure in point estimation, as well as a comparison of frequency theory and Bayesian theory interpretations of interval estimation.

MSC:

62E10 Characterization and structure theory of statistical distributions
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References:

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