Statistical inference on progressive-stress accelerated life testing for the Perk distribution under adaptive type-II hybrid censoring scheme
Abstract This paper introduces a statistical analysis of the progressive-stress accelerated life test (PSALT) for the Perk distribution under adaptive progressive type-II hybrid censoring (AP-II-HC). The cumulative exposure model is used as a progressive-stress model. Many estimation methods are use...
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| Format: | Article |
| Language: | English |
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Springer
2025-02-01
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| Series: | Journal of Statistical Theory and Applications (JSTA) |
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| Online Access: | https://doi.org/10.1007/s44199-025-00103-4 |
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| author | Eslam Hussam Ehab M. ALMetwally |
| author_facet | Eslam Hussam Ehab M. ALMetwally |
| author_sort | Eslam Hussam |
| collection | DOAJ |
| description | Abstract This paper introduces a statistical analysis of the progressive-stress accelerated life test (PSALT) for the Perk distribution under adaptive progressive type-II hybrid censoring (AP-II-HC). The cumulative exposure model is used as a progressive-stress model. Many estimation methods are used to estimate the distribution’s parameters, including classical and Bayesian methods. We use the Metropolis Hasting algorithm (Metropolis et al. in J Chem Phys 21:1087–1092, 1953) to generate samples because the posterior is not from a well-known distribution. The unknown parameters’ asymptotic and bootstrap confidence intervals (CIs) are estimated. Furthermore, the reliability function of the distribution is estimated. A real data set is analyzed to clarify the methods proposed in this paper. A practical application is applied as a lifetime example to clarify the importance of the work. Finally, some interesting conclusions are drawn. |
| format | Article |
| id | doaj-art-6d0fae2166ad4bd4a5690a70df6ae1e1 |
| institution | Kabale University |
| issn | 2214-1766 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Springer |
| record_format | Article |
| series | Journal of Statistical Theory and Applications (JSTA) |
| spelling | doaj-art-6d0fae2166ad4bd4a5690a70df6ae1e12025-08-20T03:53:14ZengSpringerJournal of Statistical Theory and Applications (JSTA)2214-17662025-02-0124111313810.1007/s44199-025-00103-4Statistical inference on progressive-stress accelerated life testing for the Perk distribution under adaptive type-II hybrid censoring schemeEslam Hussam0Ehab M. ALMetwally1Department of Mathematics, Faculty of Science, Helwan UniversityFaculty of Business Administration, Delta University for Science and TechnologyAbstract This paper introduces a statistical analysis of the progressive-stress accelerated life test (PSALT) for the Perk distribution under adaptive progressive type-II hybrid censoring (AP-II-HC). The cumulative exposure model is used as a progressive-stress model. Many estimation methods are used to estimate the distribution’s parameters, including classical and Bayesian methods. We use the Metropolis Hasting algorithm (Metropolis et al. in J Chem Phys 21:1087–1092, 1953) to generate samples because the posterior is not from a well-known distribution. The unknown parameters’ asymptotic and bootstrap confidence intervals (CIs) are estimated. Furthermore, the reliability function of the distribution is estimated. A real data set is analyzed to clarify the methods proposed in this paper. A practical application is applied as a lifetime example to clarify the importance of the work. Finally, some interesting conclusions are drawn.https://doi.org/10.1007/s44199-025-00103-4progressive-stressProgressive hybrid censoringMaximum likelihood estimationBayes estimationSimulation study |
| spellingShingle | Eslam Hussam Ehab M. ALMetwally Statistical inference on progressive-stress accelerated life testing for the Perk distribution under adaptive type-II hybrid censoring scheme Journal of Statistical Theory and Applications (JSTA) progressive-stress Progressive hybrid censoring Maximum likelihood estimation Bayes estimation Simulation study |
| title | Statistical inference on progressive-stress accelerated life testing for the Perk distribution under adaptive type-II hybrid censoring scheme |
| title_full | Statistical inference on progressive-stress accelerated life testing for the Perk distribution under adaptive type-II hybrid censoring scheme |
| title_fullStr | Statistical inference on progressive-stress accelerated life testing for the Perk distribution under adaptive type-II hybrid censoring scheme |
| title_full_unstemmed | Statistical inference on progressive-stress accelerated life testing for the Perk distribution under adaptive type-II hybrid censoring scheme |
| title_short | Statistical inference on progressive-stress accelerated life testing for the Perk distribution under adaptive type-II hybrid censoring scheme |
| title_sort | statistical inference on progressive stress accelerated life testing for the perk distribution under adaptive type ii hybrid censoring scheme |
| topic | progressive-stress Progressive hybrid censoring Maximum likelihood estimation Bayes estimation Simulation study |
| url | https://doi.org/10.1007/s44199-025-00103-4 |
| work_keys_str_mv | AT eslamhussam statisticalinferenceonprogressivestressacceleratedlifetestingfortheperkdistributionunderadaptivetypeiihybridcensoringscheme AT ehabmalmetwally statisticalinferenceonprogressivestressacceleratedlifetestingfortheperkdistributionunderadaptivetypeiihybridcensoringscheme |