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

2016/08/22 by Viswanathan Arunachalam, Arunachalam, Viswanathan
Computer Science · Decision Sciences · Engineering · Mathematics · #Applications (stat.AP) #FOS: Computer and information sciences #Probability and Risk Models #Reliability and Maintenance Optimization #Software Reliability and Analysis Research #Statistical Distribution Estimation and Applications

paper · pdf · doi:10.48550/arxiv.1608.06367

openalex publication_date 2016/08/22 · openalex created_date 2022/09/12 · openalex updated_date 2026/07/28

Abstract

In a \δ-shock model, a system subject to randomly occurring shocks, the\nsystem fails when the time between two successive shocks lies below a threshold\n\δ. In this note, we study the generalization of this model where such\n\δ-shocks are accumulated and the system fails on the occurrence of\nk^th such a \δ-shock. The probability distribution of the system\nfailure time and the statistical characteristics are explicitly obtained.\nNormal approximation to the failure time distribution is proposed.\n

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