Review of the stirling numbers, their generalizations and Statistical Applications
- 1 January 1988
- journal article
- review article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 17 (8) , 2507-2532
- https://doi.org/10.1080/03610928808829760
Abstract
The basic properties of the Stirling numbers and their generalizations are reviewed. Statistical applications of these numbers in expressing (i) the distrib u t l o n ot successes In Poisson (generalized Bernoulli) trials, (ii) the occupancy distributions, (iii) the convolutions of truncated power series distributions and related minimun variance unbiased estimators and (iv) the generalized discrete distributions and factorial moments are presented.Keywords
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