Jointly Rayleigh lifetime products in the presence of competing risks model
In this article, we are applying the competing risks model of product from two different lines of production. So, the comparative life test is done under type-II censoring scheme with consideration of only two independent causes of failure. The statistical analysis procedures are developed consideri...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2022-09-01
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| Series: | Open Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/phys-2022-0192 |
| _version_ | 1811203013956599808 |
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| author | Badr Souha K. Abu-Zinadah Hanaa |
| author_facet | Badr Souha K. Abu-Zinadah Hanaa |
| author_sort | Badr Souha K. |
| collection | DOAJ |
| description | In this article, we are applying the competing risks model of product from two different lines of production. So, the comparative life test is done under type-II censoring scheme with consideration of only two independent causes of failure. The statistical analysis procedures are developed considering joint sample of production and its life distributed with the Rayleigh lifetime distribution. The point estimation and the corresponding asymptotic confidence interval of the model parameters under maximum likelihood are constructed. Two bootstrap confidence intervals, bootstrap-pp, and bootstrap-tt, are discussed. Also, Bayesian approach to estimate point and credible interval is constructed. The estimation results are discussed through data set analyses. The validity of theoretical results is assessed and compared through Monte Carlo study. Finally, some of the points are reported as a brief comment. |
| first_indexed | 2024-04-12T02:47:43Z |
| format | Article |
| id | doaj.art-84c0c08b84e041efb9a78e74e272d00a |
| institution | Directory Open Access Journal |
| issn | 2391-5471 |
| language | English |
| last_indexed | 2024-04-12T02:47:43Z |
| publishDate | 2022-09-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Physics |
| spelling | doaj.art-84c0c08b84e041efb9a78e74e272d00a2022-12-22T03:51:06ZengDe GruyterOpen Physics2391-54712022-09-0120191993110.1515/phys-2022-0192Jointly Rayleigh lifetime products in the presence of competing risks modelBadr Souha K.0Abu-Zinadah Hanaa1Department of Statistics, College of Science, University of Jeddah, Jeddah, Saudi ArabiaDepartment of Statistics, College of Science, University of Jeddah, Jeddah, Saudi ArabiaIn this article, we are applying the competing risks model of product from two different lines of production. So, the comparative life test is done under type-II censoring scheme with consideration of only two independent causes of failure. The statistical analysis procedures are developed considering joint sample of production and its life distributed with the Rayleigh lifetime distribution. The point estimation and the corresponding asymptotic confidence interval of the model parameters under maximum likelihood are constructed. Two bootstrap confidence intervals, bootstrap-pp, and bootstrap-tt, are discussed. Also, Bayesian approach to estimate point and credible interval is constructed. The estimation results are discussed through data set analyses. The validity of theoretical results is assessed and compared through Monte Carlo study. Finally, some of the points are reported as a brief comment.https://doi.org/10.1515/phys-2022-0192comparative life testingrayleigh distributioncompeting risks modelbayes estimationbootstrap confidence intervalsmaximum likelihood estimation |
| spellingShingle | Badr Souha K. Abu-Zinadah Hanaa Jointly Rayleigh lifetime products in the presence of competing risks model Open Physics comparative life testing rayleigh distribution competing risks model bayes estimation bootstrap confidence intervals maximum likelihood estimation |
| title | Jointly Rayleigh lifetime products in the presence of competing risks model |
| title_full | Jointly Rayleigh lifetime products in the presence of competing risks model |
| title_fullStr | Jointly Rayleigh lifetime products in the presence of competing risks model |
| title_full_unstemmed | Jointly Rayleigh lifetime products in the presence of competing risks model |
| title_short | Jointly Rayleigh lifetime products in the presence of competing risks model |
| title_sort | jointly rayleigh lifetime products in the presence of competing risks model |
| topic | comparative life testing rayleigh distribution competing risks model bayes estimation bootstrap confidence intervals maximum likelihood estimation |
| url | https://doi.org/10.1515/phys-2022-0192 |
| work_keys_str_mv | AT badrsouhak jointlyrayleighlifetimeproductsinthepresenceofcompetingrisksmodel AT abuzinadahhanaa jointlyrayleighlifetimeproductsinthepresenceofcompetingrisksmodel |