The results of this paper deal directly with the behavior of compositions of random probability generating functions. These results are then applied to the theory of branching processes with random ...

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 ...

Operator methods in probability: generating functions, moment generating functions, Laplace transforms, and characteristic functions. Notions of convergence: convergence in probability and weak laws ...

image: Examples of the possible multimodal shapes of the probability density function of a new modified normal distribution view more Credit: Christophe Chesneau/University of Caen-Normandie As is ...

A probability density function (PDF) describes the likelihood of different outcomes for a continuous random variable.