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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, Egypt

    M. M. Mohie El-Din

  2. Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt

    A. M. Abd El-Raheem

  3. Department of Basic Sciences, Faculty of Engineering, MTI University, Cairo, Egypt

    S. O. Abd El-Azeem

Authors
  1. M. M. Mohie El-Din
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  2. A. M. Abd El-Raheem
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  3. S. O. Abd El-Azeem
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Correspondence to A. M. Abd El-Raheem.

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Mohie El-Din, M.M., Abd El-Raheem, A.M. & Abd El-Azeem, S.O. On Step-Stress Accelerated Life Testing for Power Generalized Weibull Distribution Under Progressive Type-II Censoring. Ann. Data. Sci. 8, 629–644 (2021). https://doi.org/10.1007/s40745-020-00270-4

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  • DOI: https://doi.org/10.1007/s40745-020-00270-4

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