Useful moment and CDF formulations for the COM-Poisson distribution

被引：19

作者：

Nadarajah, Saralees ^{[1
]}

机构：

[1] Univ Manchester, Sch Math, Manchester M60 1QD, Lancs, England

来源：

STATISTICAL PAPERS | 2009年 / 50卷 / 03期

关键词：

Cumulative distribution function; Generalized hypergeometric function; Moments; Poisson distribution;

D O I：

10.1007/s00362-007-0089-9

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The Poisson distribution is as important for discrete events as the normal distribution is to large sample data. In this note, we discuss a generalized Poisson distribution recently introduced in the statistics literature. We derive-for the first time-exact and explicit expressions for its moments and the cumulative distribution function for the case of over-dispersion. Computational issues are discussed to show the real value of these expressions.

引用

页码：617 / 622

页数：6

共 6 条

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[5] Prudnikov A. P., 1986, Integrals and Series. Elementary Functions, V1
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Shmueli, G
Minka, TP
Kadane, JB
Borle, S
Boatwright, P
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