A statistical method developed by the 18th century French mathematician S. D. Poisson, which is used for predicting the probable distribution of a series of events. For example, when the average ...

Goodness-of-fit tests based on the Cramér-von Mises statistics are given for the Poisson distribution. Power comparisons show that these statistics, particularly A2, give good overall tests of fit.

A new generalization of the Poisson distribution, with two parameters λ 1 and λ 2 is obtained as a limiting form of the generalized negative binomial distribution. The variance of the distribution is ...