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math.PR2026
The distribution of the de Moivre experiment
Hacène Belbachir, Hamza Zeggada
In this paper, we focus on the de Moivre random experiment, which allows us to introduce the -Bernoulli distribution and the binomial distribution. We present some probabi…
math.PR2007★ 1 cited
Unimodality of ordinary multinomials and maximal probabilities of convolution powers of discrete uniform distribution
Hacene Belbachir
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…