Stochastic comparisons of linear degradation and failure time models with dependent failure modes

The paper considers a reliability model for system which fails due to degradation failure or catastrophic failure. The linear degradation path is adopted to model the degradation process, and catastrophic failure rate is dependent on the degradation rate. Firstly, we conduct some stochastic comparis...

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Bibliographic Details
Published inCommunications in statistics. Theory and methods Vol. 53; no. 1; pp. 346 - 364
Main Authors Ling, Xiaoliang, Zhang, Jiaojiao, Wei, Yinzhao
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 02.01.2024
Taylor & Francis Ltd
Subjects
burn-in
Catastrophic failure analysis
competing failure
Degradation
Failure modes
Failure rates
Failure times
heterogeneous population
Primary 90B25
Reliability
Reliability analysis
Secondary 60K10
stochastic orders
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Summary:The paper considers a reliability model for system which fails due to degradation failure or catastrophic failure. The linear degradation path is adopted to model the degradation process, and catastrophic failure rate is dependent on the degradation rate. Firstly, we conduct some stochastic comparisons between two systems when their respective degradation rate variables are ordered in the sense of various stochastic orders. Secondly, we conduct some stochastic comparisons between two systems with different conditional catastrophic failure rates. Finally, we give some examples with respect to some well-know models to illustrate the validity of the results.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2022.2077965