The structure of bivariate Poisson distribution
Kazutomo Kawamura · Kodai Mathematical Journal · 1973
In this paper we consider the structure of two dimensional Poisson distribution.In section 1 the famous Poisson's theorem and an example are stated, in section 2 two dimensional Bernoulli distribution is defined and by the n independent convolution, two dimensional binomial distribution is defined as in one dimensional case and in section 3 the main result of this paper is stated that under some conditions the two dimensional binomial distribution approaches to two dimensional Poisson distribution and adding another condition it approaches to the distribution of independent type.