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本文介绍并讨论了两种复合分布及其性质，即Ｐｏｉｓｓｏｎ－Ｐｏａｉｓｓｏｎ分布（ＰＰＤ）和Ｐｏｉｓｓｏｎ－二项分布（ＰＢＤ）。这两个分布的关系类似于Ｐｏｉｓｓｏｎ分布与二项分布的关系，所不同的是，二项分布属有限二项概型，而ＰＰＤ与ＰＢＤ均属无限二项概型。两者的应用条件同负二项分布，但不能相互替代．
This article describes and discusses two kinds of compound distributions and their properties, namely Poisson-Poaisson distribution (PPD) and Poisson-binomial distribution (PBD). The relationship between these two distributions is similar to the relationship between Poisson distribution and binomial distribution. The difference is that the binomial distribution is a finite binomial model, and both PPD and PBD are infinite binomial models. The application conditions of the two are the same as the negative binomial distribution, but they cannot be substituted for each other.