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

Viswanathan Arunachalam

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arXiv · 1608.06367

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

Viswanathan Arunachalam

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Abstract

In a $\delta-$shock model, a system subject to randomly occurring shocks, the system fails when the time between two successive shocks lies below a threshold $\delta$. In this note, we study the generalization of this model where such $\delta-$shocks are accumulated and the system fails on the occurrence of $k^{th}$ such a $\delta-$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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Viswanathan Arunachalam. 2016-08-23. Generalized Shock Model Based On The Frequency of Shocks: A Simple Approach. https://arxiv.org/abs/1608.06367

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