Shocks in homogeneous and heterogeneous populations

Maxim Finkelstein

Reliability Engineering and System Safety, 2007, vol. 92, issue 5, 569-574

Abstract: A system subject to a point process of shocks is considered. Shocks occur in accordance with a non-homogeneous Poisson process. Different criterions of system failures are discussed in a homogeneous case. Two natural settings are analyzed. Heterogeneity is modeled by an unobserved univariate random variable (frailty). It is shown that reliability (safety) analysis for a heterogeneous case can differ dramatically from that for a homogeneous setting. A shock burn-in procedure for a heterogeneous population is described. The corresponding bounds for the failure rates are obtained.

Keywords: Homogeneous populations; Heterogeneous populations; Frailty; Shocks; Burn-in; Mixture failure rate (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (19)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:92:y:2007:i:5:p:569-574

DOI: 10.1016/j.ress.2006.05.006

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