Some notes on the non-central negative binomial distribution
Some notes on the non-central negative binomial distribution
复制标题
关于非中心负二项分布的一些注解
作者：
S. Ong
本文将记录一些事实，并进一步研究非中心负二项（NNB）分布（Gurland，Chen和埃尔南德斯1983的Laguerre级数分布）的某些性质。我们考虑，除其他外，一个随机公式（生灭过程），概率分布的级数展开和相应的广义指数分布的级数展开（Ong/Lee 1986），以及NNB分布与非中心β，γ和非中心γ分布的联系。一个四参数版本的NNB分布。
SummaryIn this paper we shall record some facts and further examine certain properties of the non-central negative binomial (NNB) distribution (Laguerre series distribution of Gurland, Chen and Hernandez 1983). We consider, among others, a stochastic formulation (birth-and-death process), the series expansion of the probability distribution and the corresponding series expansion of a generalized exponential distribution (Ong/Lee 1986), and the connection of the NNB distribution with the non-central beta, gamma and non-central gamma distributions. A four-parameter version of the NNB distribution is also presented.