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Future Failure Time Prediction Based on a Unified Hybrid Censoring Scheme for the Burr-X Model with Engineering Applications

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  • Saieed F. Ateya

    (Department of Mathematics, Faculty of Science, Assiut University, Assiut 71515, Egypt
    Department of Mathematics, Faculty of Science, Taif University, Taif 21944, Saudi Arabia)

  • Abdulaziz S. Alghamdi

    (Department of Mathematics, College of Science & Arts, King Abdulaziz University, Rabigh 21911, Saudi Arabia)

  • Abd Allah A. Mousa

    (Department of Mathematics, Faculty of Science, Taif University, Taif 21944, Saudi Arabia
    Department of Basic Engineering Science, Faculty of Engineering, Menofia University, Shebin El-Kom 32511, Egypt)

Abstract

Industries are constantly seeking ways to avoid corrective maintenance in order to reduce costs. Performing regular scheduled maintenance can help to mitigate this problem, but not necessarily in the most efficient way. In many real life applications, one wants to predict the future failure time of equipment or devices that are expensive, or with long lifetimes, to save costs and/or time. In this paper, statistical prediction was studied using the classical and Bayesian approaches based on a unified hybrid censoring scheme. Two prediction schemes were used: (1) a one-sample prediction scheme that predicted the unobserved future failure times of devices that did not complete the lifetime experiments; and (2) a two-sample prediction scheme to predict the ordered values of a future independent sample based on past data from a certain distribution. We chose to apply the results of the paper to the Burr-X model, due to the importance of this model in many fields, such as engineering, health, agriculture, and biology. Point and interval predictors of unobserved failure times under one- and two-sample prediction schemes were computed based on simulated data sets and two engineering applications. The results demonstrate the ability of predicting the future failure of equipment using a statistical prediction branch based on collected data from an engineering system.

Suggested Citation

  • Saieed F. Ateya & Abdulaziz S. Alghamdi & Abd Allah A. Mousa, 2022. "Future Failure Time Prediction Based on a Unified Hybrid Censoring Scheme for the Burr-X Model with Engineering Applications," Mathematics, MDPI, vol. 10(9), pages 1-23, April.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1450-:d:802424
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    References listed on IDEAS

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