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

نویسندگان
Goodarzi, Faranak ID 1

1 Faculty of Mathematics, Department of Statistics, University of Kashan

doi
10.22034/jirss.2022.706994
چکیده

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.

کلیدواژه‌ها
Characterization, Discrete aging intensity, Discrete cumulative residual entropy, Discrete mean residual life function, Discrete residual varentropy, Discrete Variance Residual Life Function, hazard rate