Extended Stirling family of discrete probability distributions. (English) Zbl 0954.62514
Summary: In this paper, introduced is a family of discrete probability distributions, whose probability function includes explicitly the Stirling-Carlitz polynomial of the first or the second kind. The new family extends the Stirling family of distributions, M. Sibuya [Ann. Inst. Statist. Math. 40, 693-714 (1988)] includes the conditional distributions of the original ones, and enlarges the application area.
Keywords:
collisions; coupon collecting; new records; occupancy; random partitions; Stirling numbers; Stirling-Carlitz polynomials; urn modelsReferences:
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