Analysis of Type-II Censored Competing Risks’ Data under Reduced New Modified Weibull Distribution
Models with the bathtub-shaped hazard rate function are widely used in lifetime analysis and reliability engineering. In this paper, we adopted the reduced new modified Weibull (RNMW) distribution with a bathtub-shaped hazard rate function. Under consideration that the population units are failing w...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/9932840 |
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| author | Saad J. Almalki Tahani A. Abushal M. D. Alsulami G. A. Abd-Elmougod |
| author_facet | Saad J. Almalki Tahani A. Abushal M. D. Alsulami G. A. Abd-Elmougod |
| author_sort | Saad J. Almalki |
| collection | DOAJ |
| description | Models with the bathtub-shaped hazard rate function are widely used in lifetime analysis and reliability engineering. In this paper, we adopted the reduced new modified Weibull (RNMW) distribution with a bathtub-shaped hazard rate function. Under consideration that the population units are failing with two independent causes of failure and the failure time is distributed with RNMW distribution, we formulate the model which is known as competing risks model. The model parameters under the type-II censoring scheme are estimated with the maximum likelihood method with the corresponding asymptotic confidence intervals. Also, the Bayes point and credible intervals with the help of MCMC methods are constructed. The real and simulated datasets are analyzed for illustrative purposes. Finally, the estimators are compared with the Monte Carlo simulation study. |
| format | Article |
| id | doaj-art-86e75fc6a6624a038f13e3066c6d5c3e |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-86e75fc6a6624a038f13e3066c6d5c3e2025-02-03T06:43:55ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/99328409932840Analysis of Type-II Censored Competing Risks’ Data under Reduced New Modified Weibull DistributionSaad J. Almalki0Tahani A. Abushal1M. D. Alsulami2G. A. Abd-Elmougod3Mathematics Department, Faculty of Science, Taif University, Taif, Saudi ArabiaMathematics Department, Faculty of Science, Umm AL-Qura University, Mecca, Saudi ArabiaMathematics Department, College of Sciences and Arts at Alkamil, University of Jeddah, Jeddah, Saudi ArabiaMathematics Department, Faculty of Science, Damanhour University, Abadiyyat Damanhur, EgyptModels with the bathtub-shaped hazard rate function are widely used in lifetime analysis and reliability engineering. In this paper, we adopted the reduced new modified Weibull (RNMW) distribution with a bathtub-shaped hazard rate function. Under consideration that the population units are failing with two independent causes of failure and the failure time is distributed with RNMW distribution, we formulate the model which is known as competing risks model. The model parameters under the type-II censoring scheme are estimated with the maximum likelihood method with the corresponding asymptotic confidence intervals. Also, the Bayes point and credible intervals with the help of MCMC methods are constructed. The real and simulated datasets are analyzed for illustrative purposes. Finally, the estimators are compared with the Monte Carlo simulation study.http://dx.doi.org/10.1155/2021/9932840 |
| spellingShingle | Saad J. Almalki Tahani A. Abushal M. D. Alsulami G. A. Abd-Elmougod Analysis of Type-II Censored Competing Risks’ Data under Reduced New Modified Weibull Distribution Complexity |
| title | Analysis of Type-II Censored Competing Risks’ Data under Reduced New Modified Weibull Distribution |
| title_full | Analysis of Type-II Censored Competing Risks’ Data under Reduced New Modified Weibull Distribution |
| title_fullStr | Analysis of Type-II Censored Competing Risks’ Data under Reduced New Modified Weibull Distribution |
| title_full_unstemmed | Analysis of Type-II Censored Competing Risks’ Data under Reduced New Modified Weibull Distribution |
| title_short | Analysis of Type-II Censored Competing Risks’ Data under Reduced New Modified Weibull Distribution |
| title_sort | analysis of type ii censored competing risks data under reduced new modified weibull distribution |
| url | http://dx.doi.org/10.1155/2021/9932840 |
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