The Role of Risk Factors in System Performance: A Comprehensive Study with Adaptive Progressive Type-II Censoring

Hanan Haj Ahmad (), Mohamed Aboshady and Mahmoud Mansour
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Hanan Haj Ahmad: Department of Basic Science, The General Administration of Preparatory Year, King Faisal University, Hofuf 31982, Al-Ahsa, Saudi Arabia
Mahmoud Mansour: Department of Basic Science, Faculty of Engineering, The British University in Egypt, El Sherook City P.O. Box 43, Cairo, Egypt

Mathematics, 2024, vol. 12, issue 11, 1-21

Abstract: The quality performance of many vital systems depends on how long the units are performing; hence, research works started focusing on increasing the reliability of systems while taking into consideration that many factors may cause the failures of operating systems. In this study, the combination of a parametric generalized linear failure rate distribution model and an adaptive progressive Type-II censoring scheme for practical purposes is explored. A comprehensive investigation is performed on the risk factors that cause failure and determines which of the factors has a more harmful effect on the units. A lifetime experiment is performed under the condition of an adaptive progressive Type-II censoring scheme to obtain observations as a result of the competing factors of failures. The obtained observations are assumed to follow a three-parameter generalized linear failure rate distribution and are assumed to be competing to cause failure. Two statistical inference methods are employed for estimating this model’s parameters: the frequentist maximum likelihood method and the Bayesian approach. Our model’s validity is demonstrated through extensive simulations and real data applications in the medical and electrical engineering fields.

Keywords: generalized linear failure rate; adaptive progressive censoring; competing risk models; Markov chain Monte Carlo; survival analysis; hazard rate; simulation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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