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On a stochastic failure model under random shocks

Title
On a stochastic failure model under random shocks
Authors
Cha J.H.
Ewha Authors
차지환
SCOPUS Author ID
차지환scopus
Issue Date
2013
Journal Title
Journal of Physics: Conference Series
ISSN
1742-6588JCR Link
Citation
vol. 410, no. 1
Indexed
SCOPUS scopus
Abstract
In most conventional settings, the events caused by an external shock are initiated at the moments of its occurrence. In this paper, we study a new classes of shock model, where each shock from a nonhomogeneous Poisson processes can trigger a failure of a system not immediately, as in classical extreme shock models, but with delay of some random time. We derive the corresponding survival and failure rate functions. Furthermore, we study the limiting behaviour of the failure rate function where it is applicable. © Published under licence by IOP Publishing Ltd.
DOI
10.1088/1742-6596/410/1/012108
Appears in Collections:
자연과학대학 > 통계학전공 > Journal papers
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