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.

Quasi-Likelihood Functions For binomial and Poisson distributions, the scale parameter has a value of 1. The variance of Y is for the binomial distribution and for the Poisson distribution.

Ce résultat constitue une extension des travaux de Hodges et LeCam (1960) concernant l'approximation de la distribution binomiale par une Poisson. On présente des applications à la théorie des tests d ...