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

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.

8 pages

References in corpus (2)

• Connection between ordinary multinomials, generalized Fibonacci numbers, partial Bell partition polynomials and convolution powers of discrete uniform distribution
• Maximal probabilities of convolution powers of discrete uniform distributions