Characterizations of some discrete distributions and upper bounds on discrete residual varentropy. (English) Zbl 07840439
Summary: 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.
MSC:
60E15 | Inequalities; stochastic orderings |
62E10 | Characterization and structure theory of statistical distributions |