Symmetric generalized binomial distributions
Mathematical Physics
2015-06-17 v1 Statistical Mechanics
math.MP
Quantum Physics
Abstract
In two recent articles we have examined a generalization of the binomial distribution associated with a sequence of positive numbers, involving asymmetric expressions of probabilities that break the symmetry {\it win-loss}. We present in this article another generalization (always associated with a sequence of positive numbers) that preserves the symmetry {\it win-loss}. This approach is also based on generating functions and presents constraints of non-negativeness, similar to those encountered in our previous articles.
Cite
@article{arxiv.1308.4863,
title = {Symmetric 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:1308.4863},
year = {2015}
}
Comments
23 pages, 2 figures