The structure of trivariate Poisson distribution

K. Kawamura
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引用次数: 8

Abstract

In this paper we discuss the structure of trivariate Poisson distribution. In the first section usual univariate Poisson distribution and bivariate general Poisson distribution [2] are stated. It is stated in section 2 the main result of this paper that is, the structure of trivariate Poisson distribution. The discussion is constructed by the three parts 2.1. definition of the trivariate Bernoulli distribution 2.2. definition of the trivariate binomial distribution 2.3. definition of the trivariate Poisson distribution and the relation of the trivariate Poisson distribution and the trivariate binomial distribution. In the part (3) some characters of the trivariate Poisson distribution and the notion of the generalization to the multivariate Poisson distribution are stated.
三变量泊松分布的结构
本文讨论了三变量泊松分布的结构。第一部分给出了通常的单变量泊松分布和双变量一般泊松分布[2]。第2节阐述了本文的主要结果,即三元泊松分布的结构。讨论由三部分组成。三变量伯努利分布的定义2.2。三变量二项分布的定义三变量泊松分布的定义以及三变量泊松分布与三变量二项分布的关系。第(3)部分给出了三变量泊松分布的一些性质和推广到多变量泊松分布的概念。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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