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 ...

Any infinitely divisible distribution satisfying a weak regularity condition can be obtained as a marginal distribution. Bernoulli is published jointly by the Bernoulli Society for Mathematical ...

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