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

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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
    Department of Mathematics and Statistics, College of Science, King Faisal University, Hofuf 31982, Al-Ahsa, Saudi Arabia)

  • Mohamed Aboshady

    (Department of Basic Science, Faculty of Engineering, The British University in Egypt, El Sherook City P.O. Box 43, Cairo, Egypt)

  • Mahmoud Mansour

    (Department of Basic Science, Faculty of Engineering, The British University in Egypt, El Sherook City P.O. Box 43, Cairo, Egypt)

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.

Suggested Citation

  • Hanan Haj Ahmad & Mohamed Aboshady & Mahmoud Mansour, 2024. "The Role of Risk Factors in System Performance: A Comprehensive Study with Adaptive Progressive Type-II Censoring," Mathematics, MDPI, vol. 12(11), pages 1-21, June.
  • Handle: RePEc:gam:jmathe:v:12:y:2024:i:11:p:1763-:d:1409480
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    References listed on IDEAS

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