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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:
 6.2e+11 Characterization and structure theory of statistical distributions