On Step-Stress Accelerated Life Testing for Power Generalized Weibull Distribution Under Progressive Type-II Censoring

M. M. Mohie El-Din, A. M. Abd El-Raheem () and S. O. Abd El-Azeem
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M. M. Mohie El-Din: Al-Azhar University
A. M. Abd El-Raheem: Ain Shams University
S. O. Abd El-Azeem: MTI University

Annals of Data Science, 2021, vol. 8, issue 3, No 9, 629-644

Abstract: Abstract In this paper, step-stress accelerated life testing is studied when the lifetime of test units follows power generalized Weibull distribution (PGW). Maximum likelihood estimates (MLEs) and Bayes estimates (BEs) of the model parameters are obtained under type-II progressive censoring. Moreover, the approximate and credible confidence intervals of the parameters are derived. Also, simulation studies are conducted to check the precision of the MLEs and BEs for the parameters of PGW distribution. Finally, some interesting conclusions are obtained.

Keywords: Step-stress model; Progressive type-II censoring; Power generalized Weibull distribution; Maximum likelihood estimation; Bayes estimation; Interval estimations; Simulation study; 62N05; 62N02; 62K05 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s40745-020-00270-4

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