A method of fitting the compound Poisson lognormal distribution by maximum likelihood is described; a computer program is available for performing the calculations. It is shown how the information ...

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.

The Poisson distribution is the discrete probability distribution of the number of events occurring in a given time period, given the average number of times the event occurs over that time period.