Author:
Ghosh Shyamal,Mitra Murari
Abstract
Abstract
We develop shock model theory in different scenarios for the ℳ-class of life distributions introduced by Klar and Müller (2003). We also study the cumulative damage model of A-Hameed and Proschan (1975) in the context of ℳ-class and establish analogous results. We obtain moment bounds and explore weak convergence issues within the ℳ-class of life distributions.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. A test of exponentiality against ℳ alternatives;Journal of Nonparametric Statistics;2019-07-03
2. On a class exhibiting trend change in average failure rate;Communications in Statistics - Theory and Methods;2019-02-07