Characterizations of some Discrete Distributions and Upper Bounds on Discrete Residual Varentropy

Document Type : Original Article


Faculty of Mathematics, Department of Statistics, University of Kashan


In this article, we obtain an upper bound for the variance of a function of the residual life random variable for discrete lifetime distributions. As a special case, we find an upper bound for residual varentropy. Moreover we characterize some discrete distributions by Cauchy-Schwarz inequality. We also get new expressions, bounds and stochastic comparisons involving measures in reliability and information theory.


Volume 21, Issue 2
December 2022
Pages 233-250
  • Receive Date: 26 November 2021
  • Accept Date: 15 March 2023