Generating functions for generalized binomial distributions
Mathematical Physics
2015-06-04 v1 Statistical Mechanics
math.MP
Quantum Physics
Abstract
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.
Cite
@article{arxiv.1203.3936,
title = {Generating functions for generalized binomial distributions},
author = {H. Bergeron and E. M. F. Curado and J. P. Gazeau and Ligia M. C. S. Rodrigues},
journal= {arXiv preprint arXiv:1203.3936},
year = {2015}
}
Comments
PDFLaTex, 27 pages, 5 figures