On history-dependent shock models

Ji Hwan Cha, Maxim Finkelstein

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


The crucial assumption in extreme shock models is that the survival/failure probability of system does not depend on the corresponding histories of the shock process and the system operation. By weakening this restrictive assumption, more 'realistic' and 'useful' models that describe various cumulative effects can be developed. However, a careful probabilistic reasoning should be employed for performing this operation. By considering the histories of the processes involved, we suggest a new theoretical insight for shock modeling and analysis.

Original languageEnglish
Pages (from-to)232-237
Number of pages6
JournalOperations Research Letters
Issue number3
StatePublished - May 2013


  • Conditional failure rate
  • History-dependent point process
  • Operational history
  • Shock model
  • Shock process


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