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arXiv · 1308.4863

Symmetric generalized binomial distributions

H. Bergeron·E. M. F. Curado·J. P. Gazeau·Ligia M. C. S. Rodrigues
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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.

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BibTeXRIS

H. Bergeron, E. M. F. Curado, J. P. Gazeau, Ligia M. C. S. Rodrigues. 2013-08-22. Symmetric generalized binomial distributions. https://doi.org/10.1063/1.4837135

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