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Characterizations of some discrete distributions. (English) Zbl 0896.62018
Summary: We give characterizations of the random variables \(X_i\), \(i= 1,2,\dots, m\), each \(X_i\) being independently distributed as generalized Poisson, or as generalized negative binomial distribution. These distributions are characterized by the probability distributions which are generated through the urn models incorporating predetermined strategies.
MSC:
62E10 Characterization and structure theory of statistical distributions
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