Optimal Design for a Bivariate Step-Stress Accelerated Life Test with Alpha Power Exponential Distribution Based on Type-I Progressive Censored Samples
We consider an optimization design for the alpha power exponential (APE) distribution as asymmetrical probability distributions under progressive type-I censoring for a step-stress accelerated life test. In this study, two stress variables are taken into account. To save the time and cost of lifetim...
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| Format: | Article |
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MDPI AG
2022-04-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/4/830 |
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| author | Refah Alotaibi Aned Al Mutairi Ehab M. Almetwally Chanseok Park Hoda Rezk |
| author_facet | Refah Alotaibi Aned Al Mutairi Ehab M. Almetwally Chanseok Park Hoda Rezk |
| author_sort | Refah Alotaibi |
| collection | DOAJ |
| description | We consider an optimization design for the alpha power exponential (APE) distribution as asymmetrical probability distributions under progressive type-I censoring for a step-stress accelerated life test. In this study, two stress variables are taken into account. To save the time and cost of lifetime testing, progressive censoring and accelerated life testing are utilized. The test units’ lifespans are supposed to follow an APE distribution. A cumulative exposure model is used to study the impact of varying stress levels. A log-linear relationship between the APE distribution’s scale parameter and stress is postulated. The maximum likelihood estimators, Bayesian estimators of the model parameters based on the symmetric loss function, approximate confidence intervals (CIs) and credible intervals are provided. Under normal operating conditions, an ideal test plan is designed by minimizing the asymptotic variance of the percentile life. |
| first_indexed | 2024-03-09T10:27:59Z |
| format | Article |
| id | doaj.art-3aa02f0f0a6a4a8ab7ce9e6eff990295 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T10:27:59Z |
| publishDate | 2022-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-3aa02f0f0a6a4a8ab7ce9e6eff9902952023-12-01T21:28:54ZengMDPI AGSymmetry2073-89942022-04-0114483010.3390/sym14040830Optimal Design for a Bivariate Step-Stress Accelerated Life Test with Alpha Power Exponential Distribution Based on Type-I Progressive Censored SamplesRefah Alotaibi0Aned Al Mutairi1Ehab M. Almetwally2Chanseok Park3Hoda Rezk4Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematical Statistical, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, EgyptApplied Statistics Laboratory, Department of Industrial Engineering, Pusan National University, Busan 46241, KoreaDepartment of Statistics, Al-Azhar University, Cairo 11651, EgyptWe consider an optimization design for the alpha power exponential (APE) distribution as asymmetrical probability distributions under progressive type-I censoring for a step-stress accelerated life test. In this study, two stress variables are taken into account. To save the time and cost of lifetime testing, progressive censoring and accelerated life testing are utilized. The test units’ lifespans are supposed to follow an APE distribution. A cumulative exposure model is used to study the impact of varying stress levels. A log-linear relationship between the APE distribution’s scale parameter and stress is postulated. The maximum likelihood estimators, Bayesian estimators of the model parameters based on the symmetric loss function, approximate confidence intervals (CIs) and credible intervals are provided. Under normal operating conditions, an ideal test plan is designed by minimizing the asymptotic variance of the percentile life.https://www.mdpi.com/2073-8994/14/4/830accelerated life testingbivariate step-stress loadingcensored dataalpha power exponential distributioninterval estimationsoptimal design |
| spellingShingle | Refah Alotaibi Aned Al Mutairi Ehab M. Almetwally Chanseok Park Hoda Rezk Optimal Design for a Bivariate Step-Stress Accelerated Life Test with Alpha Power Exponential Distribution Based on Type-I Progressive Censored Samples Symmetry accelerated life testing bivariate step-stress loading censored data alpha power exponential distribution interval estimations optimal design |
| title | Optimal Design for a Bivariate Step-Stress Accelerated Life Test with Alpha Power Exponential Distribution Based on Type-I Progressive Censored Samples |
| title_full | Optimal Design for a Bivariate Step-Stress Accelerated Life Test with Alpha Power Exponential Distribution Based on Type-I Progressive Censored Samples |
| title_fullStr | Optimal Design for a Bivariate Step-Stress Accelerated Life Test with Alpha Power Exponential Distribution Based on Type-I Progressive Censored Samples |
| title_full_unstemmed | Optimal Design for a Bivariate Step-Stress Accelerated Life Test with Alpha Power Exponential Distribution Based on Type-I Progressive Censored Samples |
| title_short | Optimal Design for a Bivariate Step-Stress Accelerated Life Test with Alpha Power Exponential Distribution Based on Type-I Progressive Censored Samples |
| title_sort | optimal design for a bivariate step stress accelerated life test with alpha power exponential distribution based on type i progressive censored samples |
| topic | accelerated life testing bivariate step-stress loading censored data alpha power exponential distribution interval estimations optimal design |
| url | https://www.mdpi.com/2073-8994/14/4/830 |
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