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On the Topp-Leone Generalized Power Weibull Distribution: Properties, Applications and Regression

Author

Listed:
  • Abukari Abdul-Lateef
  • Amadu Yakubu
  • Shei Baba Sayibu
Abstract
The Topp-Leone generalized power Weibull distribution, which is an extension of generalized power Weibull, is proposed and its properties explored. The failure rate of the proposed distribution exhibits increasing, reversed J, upside-down bathtub, and bathtub shapes. Some statistical properties are obtained: quantile function, moments, moment generating function, incomplete moment, mean and median deviations, mean residual life function, and Lorenz as well as Bonferroni curves. The maximum likelihood estimation approach is deployed to estimate the model parameters. Simulation studies are conducted to evaluate the performance and accuracy of the maximum likelihood estimates of the model parameters. Applications of the model to real datasets are presented. A location-scale regression model is also developed for the proposed model and its application has been demonstrated with a real dataset. Â

Suggested Citation

  • Abukari Abdul-Lateef & Amadu Yakubu & Shei Baba Sayibu, 2024. "On the Topp-Leone Generalized Power Weibull Distribution: Properties, Applications and Regression," Journal of Statistical and Econometric Methods, SCIENPRESS Ltd, vol. 13(2), pages 1-1.
    • Handle: RePEc:spt:stecon:v:13:y:2024:i:2:f:13_2_1
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    References listed on IDEAS

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    2. M. E. Ghitany & S. Kotz & M. Xie, 2005. "On some reliability measures and their stochastic orderings for the Topp-Leone distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(7), pages 715-722.
    3. Saad J. Almalki, 2018. "A reduced new modified Weibull distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(10), pages 2297-2313, May.
    4. Saralees Nadarajah & Samuel Kotz, 2003. "Moments of some J-shaped distributions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(3), pages 311-317.
    5. M. E. Ghitany & E. K. Al-Hussaini & R. A. Al-Jarallah, 2005. "Marshall-Olkin extended weibull distribution and its application to censored data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(10), pages 1025-1034.
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