On Step-Stress Partially Accelerated Life Testing with Competing Risks Under Progressive Type-II Censoring

Sara O. Abd El-Azeem (), Mahmoud H. Abu-Moussa (), Moustafa M. Mohie El-Din () and Lamiaa S. Diab ()
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Sara O. Abd El-Azeem: MTI University
Mahmoud H. Abu-Moussa: Cairo University
Moustafa M. Mohie El-Din: Al-Azhar University
Lamiaa S. Diab: Al-Azhar University

Annals of Data Science, 2024, vol. 11, issue 3, No 7, 909-930

Abstract: Abstract In this article, step-stress partially accelerated life testing (SSPALT) with competing risks is studied when the lifetime of test units follows Nadarajah–Haghighi (NH) distribution. The maximum likelihood estimates (MLEs) and Bayes estimates (BEs) of the model parameters are derived under progressive Type-II censoring. Furthermore, the approximate and credible confidence intervals (CIs) of the parameters are computed. A numerical example has been constructed to illustrate the methods used for the study. Finally, simulation studies are performed to demonstrate the accuracy of the MLEs and BEs for the parameters of Nadarajah–Haghighi distribution and the BEs showed better results than MLEs.

Keywords: Step-stress partially accelerated life testing; Competing risks; Progressive type-II censoring; Nadarajah–Haghighi distribution; Maximum likelihood estimation; Bayes estimation; Credible confidence intervals; Simulation study (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s40745-022-00454-0

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