Reliability Analysis of the Proportional Mean Departure Time Model
In this article, the mean lifetime of an individual whose lives lost based on a function of the time before which the individual has passed away is considered. The measure is used to construct a semi-parametric model called proportional mean departure time model. Examples are given and evidences are...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/7349598 |
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| author | Mansour Shrahili Mohamed Kayid |
| author_facet | Mansour Shrahili Mohamed Kayid |
| author_sort | Mansour Shrahili |
| collection | DOAJ |
| description | In this article, the mean lifetime of an individual whose lives lost based on a function of the time before which the individual has passed away is considered. The measure is used to construct a semi-parametric model called proportional mean departure time model. Examples are given and evidences are gathered to show that the model is a proper alternative for the proportional mean past lifetime model. Closure properties of the model concerning several stochastic orders and a number of reliability properties are established. Finally, the model is extended to entertain random amounts of the parameter and establish a proportional mean departure time frailty model. Further stochastic properties using several stochastic orders are developed in the context of the frailty model. |
| format | Article |
| id | doaj-art-1063b2b4c0454567bd8e723623239d26 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-1063b2b4c0454567bd8e723623239d262025-02-03T01:23:34ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/7349598Reliability Analysis of the Proportional Mean Departure Time ModelMansour Shrahili0Mohamed Kayid1Department of Statistics and Operations ResearchDepartment of Statistics and Operations ResearchIn this article, the mean lifetime of an individual whose lives lost based on a function of the time before which the individual has passed away is considered. The measure is used to construct a semi-parametric model called proportional mean departure time model. Examples are given and evidences are gathered to show that the model is a proper alternative for the proportional mean past lifetime model. Closure properties of the model concerning several stochastic orders and a number of reliability properties are established. Finally, the model is extended to entertain random amounts of the parameter and establish a proportional mean departure time frailty model. Further stochastic properties using several stochastic orders are developed in the context of the frailty model.http://dx.doi.org/10.1155/2022/7349598 |
| spellingShingle | Mansour Shrahili Mohamed Kayid Reliability Analysis of the Proportional Mean Departure Time Model Journal of Mathematics |
| title | Reliability Analysis of the Proportional Mean Departure Time Model |
| title_full | Reliability Analysis of the Proportional Mean Departure Time Model |
| title_fullStr | Reliability Analysis of the Proportional Mean Departure Time Model |
| title_full_unstemmed | Reliability Analysis of the Proportional Mean Departure Time Model |
| title_short | Reliability Analysis of the Proportional Mean Departure Time Model |
| title_sort | reliability analysis of the proportional mean departure time model |
| url | http://dx.doi.org/10.1155/2022/7349598 |
| work_keys_str_mv | AT mansourshrahili reliabilityanalysisoftheproportionalmeandeparturetimemodel AT mohamedkayid reliabilityanalysisoftheproportionalmeandeparturetimemodel |