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