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

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dc.creatorBelbachir, Hacene
dc.date2007-08-17
dc.date.accessioned2026-07-07T08:24:06Z
dc.date.available2026-07-07T08:24:06Z
dc.descriptionWe 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.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/0708.2341
dc.identifierhttp://arxiv.org/abs/0708.2341
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136228
dc.subjectProbability
dc.subjectCombinatorics
dc.subject60C05, 05A10 (Primary); 11B39, 11B65 (Secondary)
dc.titleUnimodality of ordinary multinomials and maximal probabilities of convolution powers of discrete uniform distribution
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