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Zbl 0696.62025
Charalambides, Ch.A.; Singh, Jagbir
A review of the Stirling numbers, their generalizations and statistical applications. (English)
[J] Commun. Stat., Theory Methods 17, No.8, 2533-2595 (1988). ISSN 0361-0926; ISSN 1532-415X/e

Summary: The basic properties of the Stirling numbers and their generalizations are reviewed. Statistical applications of these numbers in expressing (i) the distribution of successes in Poisson (generalized Bernoulli) trials, (ii) the occupancy distributions, (iii) the convolutions of truncated power series distributions and related minimum variance unbiased estimators and (iv) the generalized discrete distributions and factorial moments are presented.

MSC 2000:: *62E10 Structure theory of statistical distributions
65C30 Stochastic differential and integral equations

Keywords: truncated distributions; generalized (compound) distributions; Stirling numbers; occupancy distributions

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