A general method is proposed for testing the fit to any member of the invariant under convolutions family of count models, parameterized by mean and variance. The test statistics, which are of the ...

The Hermite distribution is the generalized Poisson distribution whose probability generating function (P.G.F.) is $\exp\lbrack a_1 (s - 1) + a_2 (s^2 - 1)\rbrack$. The probabilities (and factorial ...

A Poisson distribution is a statistical distribution showing the likely number of times that an event will occur within a specified period of time.

A discrete distribution is a statistical probability distribution that represents the possible discrete values a variable can take.