Identifiability issues in dynamic stress–strength modeling

Article Type

Research Article

Publication Title

Annals of the Institute of Statistical Mathematics

Abstract

In many real-life scenarios, system reliability depends on dynamic stress–strength interference, where strength degrades and stress accumulates concurrently over time. In some other cases, shocks appear at random time points, causing damage which is only effective at the instant of shock arrival. In this paper, we consider the identifiability problem of a system under deterministic strength degradation and stochastic damage due to shocks arriving according to a homogeneous Poisson process. We provide conditions under which the models are identifiable with respect to lifetime data only. We also consider current status data and suggest to collect additional information and discuss the issues of model identifiability under different data configurations.

First Page

63

Last Page

81

DOI

10.1007/s10463-016-0579-4

Publication Date

2-1-2018

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