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

Author

Listed:
  • M. M. Mohie El-Din

    (Al-Azhar University)

  • A. M. Abd El-Raheem

    (Ain Shams University)

  • S. O. Abd El-Azeem

    (MTI University)

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.

Suggested Citation

  • M. M. Mohie El-Din & A. M. Abd El-Raheem & S. O. Abd El-Azeem, 2021. "On Step-Stress Accelerated Life Testing for Power Generalized Weibull Distribution Under Progressive Type-II Censoring," Annals of Data Science, Springer, vol. 8(3), pages 629-644, September.
    • Handle: RePEc:spr:aodasc:v:8:y:2021:i:3:d:10.1007_s40745-020-00270-4
    DOI: 10.1007/s40745-020-00270-4
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    References listed on IDEAS

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    1. Abdel-Hamid, Alaa H., 2009. "Constant-partially accelerated life tests for Burr type-XII distribution with progressive type-II censoring," Computational Statistics & Data Analysis, Elsevier, vol. 53(7), pages 2511-2523, May.
    2. M. M. Mohie El-Din & S. E. Abu-Youssef & Nahed S. A. Ali & A. M. Abd El-Raheem, 2016. "Estimation in constant-stress accelerated life tests for extension of the exponential distribution under progressive censoring," METRON, Springer;Sapienza Università di Roma, vol. 74(2), pages 253-273, August.
    3. Z. F. Jaheen & H. M. Moustafa & G. H. Abd El-Monem, 2014. "Bayes Inference in Constant Partially Accelerated Life Tests for the Generalized Exponential Distribution with Progressive Censoring," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(14), pages 2973-2988, July.
    4. Mikhail Nikulin & Firoozeh Haghighi, 2009. "On the power generalizedWeibull family: model for cancer censored data," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 75-86.
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