On a stochastic failure model under random shocks

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In most conventional settings, the events caused by an external shock are initiated at the moments of its occurrence. In this paper, we study a new classes of shock model, where each shock from a nonhomogeneous Poisson processes can trigger a failure of a system not immediately, as in classical extreme shock models, but with delay of some random time. We derive the corresponding survival and failure rate functions. Furthermore, we study the limiting behaviour of the failure rate function where it is applicable.

Original languageEnglish
Article number012108
JournalJournal of Physics: Conference Series
Issue number1
StatePublished - 2013
Event1st International Conference on Mathematical Modelling in Physical Sciences, IC-MSQUARE 2012 - Budapest, Hungary
Duration: 3 Sep 20127 Sep 2012


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