DISTRIBUCIONES GENERADAS POR LA FUNCION HIPERGEOMETRICA p+1 Fp (α1 ,...,αp+1; γ1,...,γp ; λ)

Abstract

In this paper we present a family of Peraron's discrete distributions which are generated by the hypergeometric function p+1Fp, an univariate extension of the Gaussian hypergeometric function. It allows us to generalize the study of this type of distributions, whatever the order of the hypergeometric function which is considered. We study the propertie sthat they present, like a recurrencerelation that the moments verify, from which we can use the moment´s method to estimate the parameters. Also we have obtained a summation result through which we can calculate the probability mass function and the moments of a wide class of distributions