2011/03/01 by Ji Hwan Cha, Ji Hwan, Maxim Finkelstein · 2 citations
Engineering · Decision Sciences · Mathematics · #Reliability and Maintenance Optimization #Probability and Risk Models #Statistical Distribution Estimation and Applications
paper · doi:10.1239/jap/1300198148
In extreme shock models, only the impact of the current, possibly fatal shock is usually taken into account, whereas in cumulative shock models, the impact of the preceding shocks is accumulated as well. A shock model which combines these two types is called a ‘combined shock model’. In this paper we study new classes of extreme shock models and, based on the obtained results and model interpretations, we extend these results to several specific combined shock models. For systems subject to nonhomogeneous Poisson processes of shocks, we derive the corresponding survival probabilities and discuss some meaningful interpretations and examples.