Unimodality of ordinary multinomials and maximal probabilities of convolution powers of discrete uniform distribution
Probability
2007-08-20 v1 Combinatorics
Abstract
We establish the unimodality and the asymptotic strong unimodality of the ordinary multinomials and give their smallest mode leading to the expression of the maximal probability of convolution powers of the discrete uniform distribution. We conclude giving the generating functions of the sequence of generalized ordinary multinomials and for an extension of the sequence of maximal probabilities for convolution power of discrete uniform distribution.
Keywords
Cite
@article{arxiv.0708.2341,
title = {Unimodality of ordinary multinomials and maximal probabilities of convolution powers of discrete uniform distribution},
author = {Hacene Belbachir},
journal= {arXiv preprint arXiv:0708.2341},
year = {2007}
}
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8 pages