On a hazard (failure) rate process with delays after shocks

Nil Kamal Hazra, Maxim Finkelstein, Ji Hwan Cha

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Distinct from conventional shock models when a failure of a system or accumulation of the corresponding damage occurs immediately after a shock, we consider a setting when these consequences appear with a random delay. In our model, a shock acts directly upon the failure rate of a system. This, after a random time, can result either in a failure or in the increase in the failure rate by a random amount. We derive expressions for survival probability and the failure rate for a system. Asymptotic behavior of the failure rate is also studied in detail.

Original languageEnglish
Article number109276
JournalStatistics and Probability Letters
Volume181
DOIs
StatePublished - Feb 2022

Bibliographical note

Publisher Copyright:
© 2021 Elsevier B.V.

Keywords

  • Failure rate
  • Hazard rate process
  • Nonhomogeneous Poisson process
  • Stochastic intensity

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