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A more generalized stirling distribution of the second kind
Authors:Mei-Ling Huang  Karen Yuen Fung
Affiliation:department of Mathematics and Statistics , University of Windsor , Windsor, Ontario, Canada
Abstract:A more generalized stirling distribution of the second kind (MGSDSK) is introduced in this paper as the distribution of the sum of the independent but not identically distributed left truncated Poisson variables. Properties of MGSDSK are studied. The recursion relation and decomposition of MGSDSK are obtained. The rth moment is also found and a new recurrence relationship for them are given. A new incomplete exponential function is utilized in the derivations. A MVU estimate of the p, d, f. of MGSDSK is obtained.
Keywords:Truncated Poisson distribution  Stirling distribution of second kind  incomplete exponential function  MVU estimate
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