A New Discrete Mean Residual Life Order and its Reliability Applications

Authors

Karim Rashad Ashour, Department of Mathematical Statistic, Faculty of Graduate Studies for Statistical Research, Cairo University, EgyptFollow
A-Hadi N. Ahmed, Department of Mathematical Statistic, Faculty of Graduate Studies for Statistical Research, Cairo University, EgyptFollow

Abstract

The purpose of this paper is to introduce study and analyze a new stochastic order that lies in the framework of the discrete mean residual life and the convexity orders. Several preservation properties of the new order under reliability operations of monotone transformation, mixture, weighted distributions and shock models are discussed. In addition, two characterization properties of the new order based on the concept of discrete residual life at random time and the concept of excess lifetime in discrete renewal processes are given. Finally, we introduce some new applications of this order in the context of reliability theory.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/110225

Recommended Citation

Rashad Ashour, Karim and N. Ahmed, A-Hadi (2022) "A New Discrete Mean Residual Life Order and its Reliability Applications," Journal of Statistics Applications & Probability: Vol. 11: Iss. 2, Article 25.
DOI: http://dx.doi.org/10.18576/jsap/110225
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol11/iss2/25