Estimations in a Constant-Stress Partially Accelerated Life Test for Generalized Rayleigh Distribution under Type-II Hybrid Censoring Scheme
The constant-stress partially accelerated life test (CSPALT) model with Type-II hybrid censoring scheme (Type-II HCS) is the subject of our research. Units have a lifetime that follows the generalized Rayleigh distribution. Bayesian and E-Bayesian estimates are derived by applying two of the loss fu...
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| Main Authors: | , , , , , |
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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/10.1155/2022/6307435 |
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| author | Abdalla Rabie Eslam Hussam Abdisalam Hassan Muse Ramy Abdelhamid Aldallal Amirah Saeed Alharthi Hassan M. Aljohani |
| author_facet | Abdalla Rabie Eslam Hussam Abdisalam Hassan Muse Ramy Abdelhamid Aldallal Amirah Saeed Alharthi Hassan M. Aljohani |
| author_sort | Abdalla Rabie |
| collection | DOAJ |
| description | The constant-stress partially accelerated life test (CSPALT) model with Type-II hybrid censoring scheme (Type-II HCS) is the subject of our research. Units have a lifetime that follows the generalized Rayleigh distribution. Bayesian and E-Bayesian estimates are derived by applying two of the loss functions, mainly the squared error loss (SEL) and LINEX loss functions. Bayesian and E-Bayesian estimates are obtained using Markov chain Monte Carlo (MCMC) methods. To prove the applicability and the importance of the subject, a test for real data will be provided. To evaluate the distribution’s effectiveness, we utilized a variety of datasets and proposed several kinds of censoring. Finally, all results are compared in order to determine the effectiveness of the proposed methods. All major findings are concluded in the conclusion section. |
| format | Article |
| id | doaj-art-5b57ac1e294d456fa7d33065fa68cc5f |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-5b57ac1e294d456fa7d33065fa68cc5f2025-02-03T01:22:56ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/6307435Estimations in a Constant-Stress Partially Accelerated Life Test for Generalized Rayleigh Distribution under Type-II Hybrid Censoring SchemeAbdalla Rabie0Eslam Hussam1Abdisalam Hassan Muse2Ramy Abdelhamid Aldallal3Amirah Saeed Alharthi4Hassan M. Aljohani5Department of MathematicsDepartment of MathematicsDepartment of Mathematics (Statistics Option) ProgramCollege of Business Administration in Hotat Bani TamimDepartment of Mathematics & StatisticsDepartment of Mathematics & StatisticsThe constant-stress partially accelerated life test (CSPALT) model with Type-II hybrid censoring scheme (Type-II HCS) is the subject of our research. Units have a lifetime that follows the generalized Rayleigh distribution. Bayesian and E-Bayesian estimates are derived by applying two of the loss functions, mainly the squared error loss (SEL) and LINEX loss functions. Bayesian and E-Bayesian estimates are obtained using Markov chain Monte Carlo (MCMC) methods. To prove the applicability and the importance of the subject, a test for real data will be provided. To evaluate the distribution’s effectiveness, we utilized a variety of datasets and proposed several kinds of censoring. Finally, all results are compared in order to determine the effectiveness of the proposed methods. All major findings are concluded in the conclusion section.http://dx.doi.org/10.1155/2022/6307435 |
| spellingShingle | Abdalla Rabie Eslam Hussam Abdisalam Hassan Muse Ramy Abdelhamid Aldallal Amirah Saeed Alharthi Hassan M. Aljohani Estimations in a Constant-Stress Partially Accelerated Life Test for Generalized Rayleigh Distribution under Type-II Hybrid Censoring Scheme Journal of Mathematics |
| title | Estimations in a Constant-Stress Partially Accelerated Life Test for Generalized Rayleigh Distribution under Type-II Hybrid Censoring Scheme |
| title_full | Estimations in a Constant-Stress Partially Accelerated Life Test for Generalized Rayleigh Distribution under Type-II Hybrid Censoring Scheme |
| title_fullStr | Estimations in a Constant-Stress Partially Accelerated Life Test for Generalized Rayleigh Distribution under Type-II Hybrid Censoring Scheme |
| title_full_unstemmed | Estimations in a Constant-Stress Partially Accelerated Life Test for Generalized Rayleigh Distribution under Type-II Hybrid Censoring Scheme |
| title_short | Estimations in a Constant-Stress Partially Accelerated Life Test for Generalized Rayleigh Distribution under Type-II Hybrid Censoring Scheme |
| title_sort | estimations in a constant stress partially accelerated life test for generalized rayleigh distribution under type ii hybrid censoring scheme |
| url | http://dx.doi.org/10.1155/2022/6307435 |
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