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 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 ...