A new shock model with a change in shock size distribution

Serkan Eryilmaz*, Cihangir Kan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


For a system that is subject to shocks, it is assumed that the distribution of the magnitudes of shocks changes after the first shock of size at least d1, and the system fails upon the occurrence of the first shock above a critical level d2 (> d1). In this paper, the distribution of the lifetime of such a system is studied when the times between successive shocks follow matrix-exponential distribution. In particular, it is shown that the system's lifetime has matrix-exponential distribution when the intershock times follow Erlang distribution. The model is extended to the case when the system fails upon the occurrence of l consecutive critical shocks.

Original languageEnglish
Pages (from-to)381-395
Number of pages15
JournalProbability in the Engineering and Informational Sciences
Issue number3
Publication statusPublished - Jul 2021


  • matrix-exponential distribution
  • reliability
  • shock model


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