Weighted Lagrange Distributions and Their Characterizations

Abstract

In this paper certain characterizations of weighted Lagrange distributions, from the point of view of the number of customers served in a busy period queue, are presented. This class of weighted Lagrange distributions was recently introduced by Janardan and Rao [this Journal, 43 (1983), pp. 302–313] under the name of Lagrange distributions of the second kind. These distributions include, among others, the weighted generalized Poisson, the weighted generalized binomial, the weighted generalized negative binomial and the basic Lagrange distributions of the second kind.

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