On the Generalized Poisson Distribution

被引：16

作者：

Tuenter, HJH ^{[1
]}

机构：

[1] York Univ, Schulich Sch Business, Toronto, ON M3J 1P3, Canada

来源：

STATISTICA NEERLANDICA | 2000年 / 54卷 / 03期

关键词：

probability theory; Euler's difference lemma;

D O I：

10.1111/1467-9574.00147

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：

We use Euler's difference lemma to prove that, for theta >0 and 0 less than or equal to lambda <1, the function P-n defined on the non-negative integers by Pn(<theta>, lambda) = theta>(*) over bar *(theta + n lambda)(n-1)/n! theta (-n lambda-theta) defines a probability distribution, known as the Generalized Poisson Distribution.

引用

页码：374 / 376

页数：3

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