关于广义泊松分布
On the Generalized Poisson Distribution
摘要：
广义泊松分布（GPD）是由Consul和Jain（1973）提出的。然而，正如Consul（1989）所指出的，“很难通过直接求和来证明所有概率之和是1”。我们给出了一个更短，更优雅的证明的基础上应用欧拉的经典差分引理。
英文摘要：
The Generalized Poisson Distribution (GPD) was introduced by Consul and Jain (1973). However, as remarked by Consul (1989), "It is very difficult to prove by direct summation that the sum of all the probabilities is unity". We give a shorter and more elegant proof based upon an application of Euler's classic difference lemma.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
