| Title | Stochastic comparisons of conditional residual lifetimes with applications |
| Author | |
| Corresponding Author | Zhang, Yiying |
| Publication Years | 2022-10-01
|
| DOI | |
| Source Title | |
| ISSN | 1684-3703
|
| EISSN | 1811-4857
|
| Abstract | It is not uncommon that the living situation of a unit (e.g. a component in a reliability system) plays a critical role in affecting the performance of another unit or even the whole system. The study on stochastic behaviors of conditional residual lifetimes appears to be particularly important for analyzing the performances of interested units. This paper studies stochastic comparisons on the conditional residual lifetimes of units under the dependent information when another unit has survived up to a given time. Sufficient (and necessary) conditions are established for comparing conditional residual lifetimes of different units under various dependence structures as well as different events according to some traditional stochastic orders. We provide numerical examples based on the well-known FGM copula and Archimedean copulas to verify the conditions. Three real scenarios in reliability theory and risk theory are also considered to show the applicability of our results. |
| Keywords | |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | First
; Corresponding
|
| Funding Project | National Natural Science Foundation of China[12101336]
|
| WOS Research Area | Engineering
; Operations Research & Management Science
; Mathematics
|
| WOS Subject | Engineering, Industrial
; Operations Research & Management Science
; Statistics & Probability
|
| WOS Accession No | WOS:000871384700001
|
| Publisher | |
| Data Source | Web of Science
|
| Citation statistics |
Cited Times [WOS]:1
|
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/406869 |
| Department | Department of Mathematics |
| Affiliation | Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Guangdong, Peoples R China |
| First Author Affilication | Department of Mathematics |
| Corresponding Author Affilication | Department of Mathematics |
| First Author's First Affilication | Department of Mathematics |
| Recommended Citation GB/T 7714 |
Zhang, Yiying. Stochastic comparisons of conditional residual lifetimes with applications[J]. Quality Technology and Quantitative Management,2022.
|
| APA |
Zhang, Yiying.(2022).Stochastic comparisons of conditional residual lifetimes with applications.Quality Technology and Quantitative Management.
|
| MLA |
Zhang, Yiying."Stochastic comparisons of conditional residual lifetimes with applications".Quality Technology and Quantitative Management (2022).
|
| Files in This Item: | There are no files associated with this item. | |||||
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