Document Type : Original Article

Author

• Faranak Goodarzi

Faculty of Mathematics, Department of Statistics, University of Kashan

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