Abstract:In a δ−shock model, a system subject to randomly occurring shocks, the system fails when the time between two successive shocks lies below a threshold δ. In this note, we study the generalization of this model where such δ−shocks are accumulated and the system fails on the occurrence of k th such a δ−shock. The probability distribution of the system failure time and the statistical characteristics are explicitly obtained. Normal approximation to the failure time distribution is proposed.
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.