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Parameter estimation of the flexible Weibull distribution for type I censored samples

Author

Listed:
  • Arwa Nasr
  • Soufiane Gasmi
  • Fayçal Ben Hmida

Abstract

Often in practice one is interested in the situation where the lifetime data are censored. Censorship is a common phenomenon frequently encountered when analyzing lifetime data due to time constraints. In this paper, the flexible Weibull distribution proposed in Bebbington et al. [A flexible Weibull extension, Reliab. Eng. Syst. Safety 92 (2007), pp. 719–726] is studied using maximum likelihood technics based on three different algorithms: Newton Raphson, Levenberg Marquardt and Trust Region reflective. The proposed parameter estimation method is introduced and proved to work from theoretical and practical point of view. On one hand, we apply a maximum likelihood estimation method using complete simulated and real data. On the other hand, we study for the first time the model using simulated and real data for type I censored samples. The estimation results are approved by a statistical test.

Suggested Citation

  • Arwa Nasr & Soufiane Gasmi & Fayçal Ben Hmida, 2017. "Parameter estimation of the flexible Weibull distribution for type I censored samples," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(14), pages 2499-2512, October.
    • Handle: RePEc:taf:japsta:v:44:y:2017:i:14:p:2499-2512
    DOI: 10.1080/02664763.2016.1257588
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