Generalized Shock Model Based On The Frequency of Shocks: A Simple Approach
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 kth 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.
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