论文标题
Conway-Maxwell-Poisson分布何时无限分开？
When Is the Conway-Maxwell-Poisson Distribution Infinitely Divisible?
论文作者
论文摘要
分布在极限理论中发挥核心作用的基本特征是无限的划分性。在本说明中，我们证明Conway-Maxwell-Poisson（CMP）的分布是无限的，如果是泊松或几何分布。这解释说，尽管它在广泛的领域中应用，但没有理论上的基础CMP分布成为少数数字定律的自然候选人。
An essential character for a distribution to play a central role in the limit theory is infinite divisibility. In this note, we prove that the Conway-Maxwell-Poisson (CMP) distribution is infinitely divisible iff it is the Poisson or geometric distribution. This explains that, despite its applications in a wide range of fields, there is no theoretical foundation for the CMP distribution to be a natural candidate for the law of small numbers.
