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자연과학대학
통계학전공
Journal papers
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On a hazard (failure) rate process with delays after shocks
Title
On a hazard (failure) rate process with delays after shocks
Authors
Hazra N.K.
;
Finkelstein M.
;
Cha J.H.
Ewha Authors
차지환
SCOPUS Author ID
차지환
Issue Date
2022
Journal Title
Statistics and Probability Letters
ISSN
0167-7152
Citation
Statistics and Probability Letters vol. 181
Keywords
Failure rate
;
Hazard rate process
;
Nonhomogeneous Poisson process
;
Stochastic intensity
Publisher
Elsevier B.V.
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
Distinct from conventional shock models when a failure of a system or accumulation of the corresponding damage occurs immediately after a shock, we consider a setting when these consequences appear with a random delay. In our model, a shock acts directly upon the failure rate of a system. This, after a random time, can result either in a failure or in the increase in the failure rate by a random amount. We derive expressions for survival probability and the failure rate for a system. Asymptotic behavior of the failure rate is also studied in detail. © 2021 Elsevier B.V.
DOI
10.1016/j.spl.2021.109276
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