Estimation of reliability with cumulative stress and strength degradation. Issue 4 (4th July 2017)

• Record Type: Journal Article
• Authors: Bhuyan, P.; Dewanji, A.
• Is Part Of: Statistics. Volume 51:Issue 4(2017)
• Page Start: 766
• Page End: 781
• Publication Date: 2017-07-04
• Subjects: Identifiability -- Kaplan–Meier estimate -- mechanistic model -- parametric bootstrap -- sampling plan; 62N02 -- 62N05; Mathematical statistics -- Periodicals; 519.505
• DOI: 10.1080/02331888.2016.1277224
• Languages: English
• ISSNs: 0233-1888

Abstract

ABSTRACT: In many real-life scenarios, system reliability depends on dynamic stress–strength interference where strength degrades and stress accumulates concurrently over time. In this paper, we consider the problem of estimating reliability of a system under deterministic strength degradation and cumulative damage due to shocks arriving according to a point process. Maximum likelihood estimation under two different sampling plans has been considered. Large sample properties in general are discussed. The method is illustrated through simulation and real-life data analysis.