On history-dependent shock models

Ji Hwan Cha; Maxim Finkelstein

doi:10.1016/j.orl.2013.01.012

On history-dependent shock models

Ji Hwan Cha, Maxim Finkelstein

Department of Statistics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

The crucial assumption in extreme shock models is that the survival/failure probability of system does not depend on the corresponding histories of the shock process and the system operation. By weakening this restrictive assumption, more 'realistic' and 'useful' models that describe various cumulative effects can be developed. However, a careful probabilistic reasoning should be employed for performing this operation. By considering the histories of the processes involved, we suggest a new theoretical insight for shock modeling and analysis.

Original language	English
Pages (from-to)	232-237
Number of pages	6
Journal	Operations Research Letters
Volume	41
Issue number	3
DOIs	https://doi.org/10.1016/j.orl.2013.01.012
State	Published - May 2013

Bibliographical note

Funding Information:
The authors would like to thank the referee for very profound and detailed suggestions on the presentation of this paper. This work was supported by a National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (No. 2011-0017338 ). The work of the second author was supported by the NRF (National Research Foundation of South Africa) grant FA2006040700002 .

Keywords

Conditional failure rate
History-dependent point process
Operational history
Shock model
Shock process

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10.1016/j.orl.2013.01.012

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abstract = "The crucial assumption in extreme shock models is that the survival/failure probability of system does not depend on the corresponding histories of the shock process and the system operation. By weakening this restrictive assumption, more 'realistic' and 'useful' models that describe various cumulative effects can be developed. However, a careful probabilistic reasoning should be employed for performing this operation. By considering the histories of the processes involved, we suggest a new theoretical insight for shock modeling and analysis.",

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AU - Finkelstein, Maxim

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N2 - The crucial assumption in extreme shock models is that the survival/failure probability of system does not depend on the corresponding histories of the shock process and the system operation. By weakening this restrictive assumption, more 'realistic' and 'useful' models that describe various cumulative effects can be developed. However, a careful probabilistic reasoning should be employed for performing this operation. By considering the histories of the processes involved, we suggest a new theoretical insight for shock modeling and analysis.

AB - The crucial assumption in extreme shock models is that the survival/failure probability of system does not depend on the corresponding histories of the shock process and the system operation. By weakening this restrictive assumption, more 'realistic' and 'useful' models that describe various cumulative effects can be developed. However, a careful probabilistic reasoning should be employed for performing this operation. By considering the histories of the processes involved, we suggest a new theoretical insight for shock modeling and analysis.

KW - Conditional failure rate

KW - History-dependent point process

KW - Operational history

KW - Shock model

KW - Shock process

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VL - 41

SP - 232

EP - 237

JO - Operations Research Letters

JF - Operations Research Letters

IS - 3

ER -

On history-dependent shock models

Abstract

Bibliographical note

Keywords

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