Article
Mixture Representations of Reliability in Coherent Systems and Preservation Results under Double Monitoring
Statistics Preprints
Publication Date
9-1-2012
Series Number
Preprint #2012-11
Disciplines
Abstract
The mixture representations of the reliability functions of the residual life and inactivity time of a coherent system with n independent and identically distributed components are obtained, given that before time t1(t1 ≥ 0), exactly r(r < n) components have failed and at time t2(t2 ≥ t1), the system is either still working or has failed. Based on the stochastically ordered coefficient vectors between systems, some preservation results of the residual life and the inactivity time of the system are obtained. The results in this paper extend previous results in the literature and are useful for comparing similar systems that have different structure functions.
Language
en
Citation Information
Zhengcheng Zhang and William Q Meeker. "Mixture Representations of Reliability in Coherent Systems and Preservation Results under Double Monitoring" (2012) Available at: http://works.bepress.com/wqmeeker/115/
This preprint was published as Zhengcheng Zhang & William Q. Meeker, "Mixture Representations of Reliability in Coherent Systems and Preservation Results Under Double Monitoring", Communications in Statistics-Theory and Methods (2013): 385-397, doi: 10.1080/03610926.2012.731127.