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On a terminating shock process with independent wear increments

Title
On a terminating shock process with independent wear increments
Authors
Cha J.H.Finkelstein M.
Ewha Authors
차지환
SCOPUS Author ID
차지환scopus
Issue Date
2009
Journal Title
Journal of Applied Probability
ISSN
0021-9002JCR Link
Citation
vol. 46, no. 2, pp. 353 - 362
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
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. In this paper we combine an extreme shock model with a specific cumulative shock model. It is shown that the proposed setting can also be interpreted as a generalization of the well-known Brown-Proschan model that describes repair actions for repairable systems. For a system subject to a specific process of shocks, we derive the survival probability and the corresponding failure rate function. Some meaningful interpretations and examples are discussed. © Applied Probability Trust 2009.
DOI
10.1239/jap/1245676092
Appears in Collections:
자연과학대학 > 통계학전공 > Journal papers
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