Generating functions for generalized binomial distributions

Details Generating functions for generalized binomial distributions Generating functions for generalized binomial distributions

2012-03-18

arxiv.org/abs/1203.3936v1

Physics

Mathematical Physics

PDFLaTex, 27 pages, 5 figures

Scientific paper

In a recent article a generalization of the binomial distribution associated with a sequence of positive numbers was examined. The analysis of the nonnegativeness of the formal expressions was a key-point to allow to give them a statistical interpretation in terms of probabilities. In this article we present an approach based on generating functions that solves the previous difficulties: the constraints of nonnegativeness are automatically fulfilled, a complete characterization in terms of generating functions is given and a large number of analytical examples becomes available.

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