A note on 'curable' shock processes

Ji Hwan Cha, Maxim Finkelstein

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11 Scopus citations


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
Issue number12
StatePublished - Dec 2012

Bibliographical note

Funding Information:
This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (No. 2011-0017338 ). The work of the second author was supported by the NRF (National Research Foundation of South Africa) grant FA2006040700002 .


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


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