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

Author(s):

Faranak Goodarzi *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:

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

Language:
English
Published:
Journal of Iranian Statistical Society, Volume:21 Issue: 2, Autumn 2022
Pages:
233 to 250
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