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 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 ...

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 ...