Statistical Inference of Jointly Type-II Lifetime Samples under Weibull Competing Risks Models
In this paper, we develop statistical inference of competing risks samples which are collected under a joint Type-II censoring scheme of products with Weibull lifetime distributions. These inferences are drawn from two independent fatal risks and come from two different lines of production with the...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/4/701 |
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| author | Abdulaziz S. Alghamdi Gamal Amin Abd-Elmougod Debasis Kundu Marin Marin |
| author_facet | Abdulaziz S. Alghamdi Gamal Amin Abd-Elmougod Debasis Kundu Marin Marin |
| author_sort | Abdulaziz S. Alghamdi |
| collection | DOAJ |
| description | In this paper, we develop statistical inference of competing risks samples which are collected under a joint Type-II censoring scheme of products with Weibull lifetime distributions. These inferences are drawn from two independent fatal risks and come from two different lines of production with the same facility. The model parameters and the parameters of life (reliability and hazard rate functions) are estimated using maximum likelihood (ML), bootstrap and Bayes methods. Additionally, we constructed asymptotic ML confidence intervals, bootstrap confidence intervals and Bayes credible intervals. Furthermore, the theoretical results are assessed and compared through Monte Carlo simulations. Finally, one real data set is analyzed under the proposed model for illustrative purpose. |
| first_indexed | 2024-03-09T10:27:49Z |
| format | Article |
| id | doaj.art-0da6aaa0c9324ed69145162336388d76 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T10:27:49Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-0da6aaa0c9324ed69145162336388d762023-12-01T21:28:22ZengMDPI AGSymmetry2073-89942022-03-0114470110.3390/sym14040701Statistical Inference of Jointly Type-II Lifetime Samples under Weibull Competing Risks ModelsAbdulaziz S. Alghamdi0Gamal Amin Abd-Elmougod1Debasis Kundu2Marin Marin3Department of Mathematics, College of Science and Arts, King Abdulaziz University, Rabigh 21911, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Damanhour University, Damanhour 22511, EgyptDepartment of Mathematics and Statistics, Indian Institute of Technology, Kanpur 208016, IndiaDepartment of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, RomaniaIn this paper, we develop statistical inference of competing risks samples which are collected under a joint Type-II censoring scheme of products with Weibull lifetime distributions. These inferences are drawn from two independent fatal risks and come from two different lines of production with the same facility. The model parameters and the parameters of life (reliability and hazard rate functions) are estimated using maximum likelihood (ML), bootstrap and Bayes methods. Additionally, we constructed asymptotic ML confidence intervals, bootstrap confidence intervals and Bayes credible intervals. Furthermore, the theoretical results are assessed and compared through Monte Carlo simulations. Finally, one real data set is analyzed under the proposed model for illustrative purpose.https://www.mdpi.com/2073-8994/14/4/701Bayes estimationbootstrap confidence intervalscompeting risks modeljoint Type-II censoring schememaximum likelihoodWeibull distribution |
| spellingShingle | Abdulaziz S. Alghamdi Gamal Amin Abd-Elmougod Debasis Kundu Marin Marin Statistical Inference of Jointly Type-II Lifetime Samples under Weibull Competing Risks Models Symmetry Bayes estimation bootstrap confidence intervals competing risks model joint Type-II censoring scheme maximum likelihood Weibull distribution |
| title | Statistical Inference of Jointly Type-II Lifetime Samples under Weibull Competing Risks Models |
| title_full | Statistical Inference of Jointly Type-II Lifetime Samples under Weibull Competing Risks Models |
| title_fullStr | Statistical Inference of Jointly Type-II Lifetime Samples under Weibull Competing Risks Models |
| title_full_unstemmed | Statistical Inference of Jointly Type-II Lifetime Samples under Weibull Competing Risks Models |
| title_short | Statistical Inference of Jointly Type-II Lifetime Samples under Weibull Competing Risks Models |
| title_sort | statistical inference of jointly type ii lifetime samples under weibull competing risks models |
| topic | Bayes estimation bootstrap confidence intervals competing risks model joint Type-II censoring scheme maximum likelihood Weibull distribution |
| url | https://www.mdpi.com/2073-8994/14/4/701 |
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