Competing Risks in Accelerated Life Testing: A Study on Step-Stress Models with Tampered Random Variables
This study introduces a novel approach to accelerated life test experiments by examining competing risk factors using the Tampered Random Variable (TRV) model. This approach remains extensively unexplored in current research. The methodology is implemented for a simple step-stress life test (SSLT) m...
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MDPI AG
2025-01-01
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| author | Hanan Haj Ahmad Ehab M. Almetwally Dina A. Ramadan |
| author_facet | Hanan Haj Ahmad Ehab M. Almetwally Dina A. Ramadan |
| author_sort | Hanan Haj Ahmad |
| collection | DOAJ |
| description | This study introduces a novel approach to accelerated life test experiments by examining competing risk factors using the Tampered Random Variable (TRV) model. This approach remains extensively unexplored in current research. The methodology is implemented for a simple step-stress life test (SSLT) model and accounts for various causes of failure. The Power Chris–Jerry (PCJ) distribution is utilized to model the lifetimes of units under different stress levels, incorporating unique shape parameters while maintaining a fixed-scale parameter. This study employs the TRV model to integrate constant tampering coefficients for each failure cause within step-stress data analysis. Maximum-likelihood estimates for model parameters and tampering coefficients are derived from SSLT data, and some confidence intervals are presented based on the Type-II censoring scheme. Furthermore, Bayesian estimation is applied to the parameters, supported by appropriate prior distributions. The robustness of the proposed method is validated through comprehensive simulations and real-world applications in different scientific domains. |
| format | Article |
| id | doaj-art-50b31c0ce53f4da58cfdcf481d550135 |
| institution | Kabale University |
| issn | 2075-1680 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
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| series | Axioms |
| spelling | doaj-art-50b31c0ce53f4da58cfdcf481d5501352025-01-24T13:22:12ZengMDPI AGAxioms2075-16802025-01-011413210.3390/axioms14010032Competing Risks in Accelerated Life Testing: A Study on Step-Stress Models with Tampered Random VariablesHanan Haj Ahmad0Ehab M. Almetwally1Dina A. Ramadan2Department of Basic Science, The General Administration of Preparatory Year, King Faisal University, Hofuf 31982, Al-Ahsa, Saudi ArabiaDepartment of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Riyadh, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 33516, EgyptThis study introduces a novel approach to accelerated life test experiments by examining competing risk factors using the Tampered Random Variable (TRV) model. This approach remains extensively unexplored in current research. The methodology is implemented for a simple step-stress life test (SSLT) model and accounts for various causes of failure. The Power Chris–Jerry (PCJ) distribution is utilized to model the lifetimes of units under different stress levels, incorporating unique shape parameters while maintaining a fixed-scale parameter. This study employs the TRV model to integrate constant tampering coefficients for each failure cause within step-stress data analysis. Maximum-likelihood estimates for model parameters and tampering coefficients are derived from SSLT data, and some confidence intervals are presented based on the Type-II censoring scheme. Furthermore, Bayesian estimation is applied to the parameters, supported by appropriate prior distributions. The robustness of the proposed method is validated through comprehensive simulations and real-world applications in different scientific domains.https://www.mdpi.com/2075-1680/14/1/32tampered random variablepower Chris–Jerryaccelerated life testingstep stressMLEBayes estimation |
| spellingShingle | Hanan Haj Ahmad Ehab M. Almetwally Dina A. Ramadan Competing Risks in Accelerated Life Testing: A Study on Step-Stress Models with Tampered Random Variables Axioms tampered random variable power Chris–Jerry accelerated life testing step stress MLE Bayes estimation |
| title | Competing Risks in Accelerated Life Testing: A Study on Step-Stress Models with Tampered Random Variables |
| title_full | Competing Risks in Accelerated Life Testing: A Study on Step-Stress Models with Tampered Random Variables |
| title_fullStr | Competing Risks in Accelerated Life Testing: A Study on Step-Stress Models with Tampered Random Variables |
| title_full_unstemmed | Competing Risks in Accelerated Life Testing: A Study on Step-Stress Models with Tampered Random Variables |
| title_short | Competing Risks in Accelerated Life Testing: A Study on Step-Stress Models with Tampered Random Variables |
| title_sort | competing risks in accelerated life testing a study on step stress models with tampered random variables |
| topic | tampered random variable power Chris–Jerry accelerated life testing step stress MLE Bayes estimation |
| url | https://www.mdpi.com/2075-1680/14/1/32 |
| work_keys_str_mv | AT hananhajahmad competingrisksinacceleratedlifetestingastudyonstepstressmodelswithtamperedrandomvariables AT ehabmalmetwally competingrisksinacceleratedlifetestingastudyonstepstressmodelswithtamperedrandomvariables AT dinaaramadan competingrisksinacceleratedlifetestingastudyonstepstressmodelswithtamperedrandomvariables |