The Weibull lifetime model with randomised failure-free time

Piotr Sulewski; Magdalena Szymkowiak

doi:10.2478/stattrans-2022-0042

The Weibull lifetime model with randomised failure-free time

Piotr Sulewski Institute of Exact and Technical Sciences, Pomeranian University, Poland , Magdalena Szymkowiak Institute of Automatic Control and Robotics, Poznan University of Technology, Poland Statistics in Transition new series, vol. 23, 2022, 4, pages: 59-76 Published online: 15 December 2022 DOI 10.2478/stattrans-2022-0042

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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.

KEYWORDS

Weibull lifetime model, randomised failure-free time, compound Weibull distributions

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