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On new classes of extreme shock models and some generalizations

Title
On new classes of extreme shock models and some generalizations
Authors
Cha J.H.Finkelstein M.
Ewha Authors
차지환
SCOPUS Author ID
차지환scopus
Issue Date
2011
Journal Title
Journal of Applied Probability
ISSN
0021-9002JCR Link
Citation
vol. 48, no. 1, pp. 258 - 270
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. A shock model which combines these two types is called a 'combined shock model'. In this paper we study new classes of extreme shock models and, based on the obtained results and model interpretations, we extend these results to several specific combined shock models. For systems subject to nonhomogeneous Poisson processes of shocks, we derive the corresponding survival probabilities and discuss some meaningful interpretations and examples. © 2011 Applied Probability Trust.
DOI
10.1239/jap/1300198148
Appears in Collections:
자연과학대학 > 통계학전공 > Journal papers
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