Unimodality of ordinary multinomials and maximal probabilities of convolution powers of discrete uniform distribution

Details Unimodality of ordinary multinomials and maximal probabilities of convolution powers of discrete uniform distribution Unimodality of ordinary multinomials and maximal probabilities of convolution powers of discrete uniform distribution

2007-08-17

arxiv.org/abs/0708.2341v1

Mathematics

Probability

8 pages

Scientific paper

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.

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