A note on 'curable' shock processes

Ji Hwan Cha, Maxim Finkelstein

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

In most conventional shock models, the events caused by an external shock are initiated at the moments of its occurrence. Recently, Cha and Finkelstein (2012) had considered the case when each shock from a nonhomogeneous Poisson processes can trigger a failure of a system not immediately, as in the classical shock models, but with delay of some random time. In this paper, we suggest the new type of shock models, where each delayed failure can be cured (repaired) with certain probabilities. These shock processes have not been considered in the literature before. We derive and analyze the corresponding survival and failure rate functions and consider a meaningful reliability example of the stress-strength model.

Original languageEnglish
Pages (from-to)3146-3151
Number of pages6
JournalJournal of Statistical Planning and Inference
Volume142
Issue number12
DOIs
StatePublished - Dec 2012

Keywords

  • Cumulative shock model
  • Cure models
  • Delayed failure
  • Nonhomogeneous Poisson process
  • Shock model

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