Title

Estimation of reliability with cumulative stress and strength degradation

Article Type

Research Article

Publication Title

Statistics

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.

First Page

766

Last Page

781

DOI

10.1080/02331888.2016.1277224

Publication Date

7-4-2017

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