System Level Extropy of the Past Life of a Coherent System
In this paper, we take a new approach to uncertainty in a coherent system, where components are assumed to be all inactive in a given time. In particular, the signature-based method is used to quantify the extropy of the past lifetime of the system, which serves as a valuable indicator of its predic...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/9912509 |
| _version_ | 1827077521812750336 |
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| author | M. Kayid Mashael A. Alshehri |
| author_facet | M. Kayid Mashael A. Alshehri |
| author_sort | M. Kayid |
| collection | DOAJ |
| description | In this paper, we take a new approach to uncertainty in a coherent system, where components are assumed to be all inactive in a given time. In particular, the signature-based method is used to quantify the extropy of the past lifetime of the system, which serves as a valuable indicator of its predictability. The results provide several key findings, including some bounds and stochastic ordering aspects for this measure. We also introduce a new formula to select the system that is preferable based on its relative extropy in the past. The results of this work can provide insights for designing systems to improve their reliability and resilience. |
| first_indexed | 2024-03-12T00:12:22Z |
| format | Article |
| id | doaj.art-b3d70a6e86d146c5be76efc53901a8aa |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2025-03-20T02:15:06Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-b3d70a6e86d146c5be76efc53901a8aa2024-10-03T07:52:07ZengHindawi LimitedJournal of Mathematics2314-47852023-01-01202310.1155/2023/9912509System Level Extropy of the Past Life of a Coherent SystemM. Kayid0Mashael A. Alshehri1Department of Statistics and Operations Research College of ScienceDepartment of Quantitative Analysis College of Business AdministrationIn this paper, we take a new approach to uncertainty in a coherent system, where components are assumed to be all inactive in a given time. In particular, the signature-based method is used to quantify the extropy of the past lifetime of the system, which serves as a valuable indicator of its predictability. The results provide several key findings, including some bounds and stochastic ordering aspects for this measure. We also introduce a new formula to select the system that is preferable based on its relative extropy in the past. The results of this work can provide insights for designing systems to improve their reliability and resilience.http://dx.doi.org/10.1155/2023/9912509 |
| spellingShingle | M. Kayid Mashael A. Alshehri System Level Extropy of the Past Life of a Coherent System Journal of Mathematics |
| title | System Level Extropy of the Past Life of a Coherent System |
| title_full | System Level Extropy of the Past Life of a Coherent System |
| title_fullStr | System Level Extropy of the Past Life of a Coherent System |
| title_full_unstemmed | System Level Extropy of the Past Life of a Coherent System |
| title_short | System Level Extropy of the Past Life of a Coherent System |
| title_sort | system level extropy of the past life of a coherent system |
| url | http://dx.doi.org/10.1155/2023/9912509 |
| work_keys_str_mv | AT mkayid systemlevelextropyofthepastlifeofacoherentsystem AT mashaelaalshehri systemlevelextropyofthepastlifeofacoherentsystem |