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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2025-02-01
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| Series: | Journal of Statistical Theory and Applications (JSTA) |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s44199-025-00103-4 |
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| Summary: | 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. |
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| ISSN: | 2214-1766 |