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The Weibull lifetime model with randomised failure-free time

Author

Listed:
  • Sulewski Piotr

    (Institute of Exact and Technical Sciences, Pomeranian University, Poland .)

  • Szymkowiak Magdalena

    (Institute of Automatic Control and Robotics, Poznan University of Technology, Poland .)

Abstract

The paper shows that treating failure-free time in the three-parameter Weibull distribution not a constant, but as a random variable makes the resulting distribution much more flexible at the expense of only one additional parameter.

Suggested Citation

  • Sulewski Piotr & Szymkowiak Magdalena, 2022. "The Weibull lifetime model with randomised failure-free time," Statistics in Transition New Series, Polish Statistical Association, vol. 23(4), pages 59-76, December.
    • Handle: RePEc:vrs:stintr:v:23:y:2022:i:4:p:59-76:n:2
    DOI: 10.2478/stattrans-2022-0042
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    References listed on IDEAS

    as
    1. Almalki, Saad J. & Nadarajah, Saralees, 2014. "Modifications of the Weibull distribution: A review," Reliability Engineering and System Safety, Elsevier, vol. 124(C), pages 32-55.
    2. Szymkowiak, Magdalena, 2018. "Generalized aging intensity functions," Reliability Engineering and System Safety, Elsevier, vol. 178(C), pages 198-208.
    3. Michael J. Wichura, 1988. "The Percentage Points of the Normal Distribution," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 37(3), pages 477-484, November.
    4. Chanseok Park, 2018. "A Note on the Existence of the Location Parameter Estimate of the Three-Parameter Weibull Model Using the Weibull Plot," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-6, October.
    5. Balakrishnan, Narayanaswamy & Ristić, Miroslav M., 2016. "Multivariate families of gamma-generated distributions with finite or infinite support above or below the diagonal," Journal of Multivariate Analysis, Elsevier, vol. 143(C), pages 194-207.
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