Some properties and inequalities related to the kth inverse moment of a positive binomial variate

Abstract

We present some known properties of bk(n, p) the kth inverse moment of a positive binomial variate. Additional properties of this function and new bounds are derived. Keywords: Probability, statistics, life contingencies, Bernstein polynomials. Se presentan algunas propiedades conocidas del k-simo momento inverso bk(n, p)de una variable aleatoria binomial positiva. Se derivan otras desigualdades nuevas yalgunas propiedades de esta funcin.Palabras clave: Probabilidad, estadstica, contingencias de vida, polinomios de Bernstein.