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Exponentiated Weibull distribution

Author

Listed:
  • Manisha

    (Department of Statistics - Calcutta University, India)

  • M. MASOOM ALI

    (Ball State University, USA)

  • JUNGSOO WOO

    (Yeungnam University, South Korea)

Abstract

In this paper we study the family of distributions termed as exponentiated Weibull distribution. The distribution has three parameters (one scale and two shape) and the Weibull distribution and the exponentiated exponential distribution, discussed by Gupta, et al. (1998), are particular cases of it. The survival function, failure rate and moments of the distributions have been derived using certain special formulas. The behavior of the failure rate has been studied and compared with those of the Weibull and Gamma distributions. The distribution has been fitted to a real life data set and the fit has been found to be very good.

Suggested Citation

  • Manisha & M. MASOOM ALI & JUNGSOO WOO, 2006. "Exponentiated Weibull distribution," Statistica, Department of Statistics, University of Bologna, vol. 66(2), pages 139-147.
    • Handle: RePEc:bot:rivsta:v:66:y:2006:i:2:p:139-147
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    Citations

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    Cited by:

    1. Lemonte, Artur J., 2013. "A new exponential-type distribution with constant, decreasing, increasing, upside-down bathtub and bathtub-shaped failure rate function," Computational Statistics & Data Analysis, Elsevier, vol. 62(C), pages 149-170.
    2. 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.
    3. Aliyu Ismail Ishaq & Alfred Adewole Abiodun, 2020. "The Maxwell–Weibull Distribution in Modeling Lifetime Datasets," Annals of Data Science, Springer, vol. 7(4), pages 639-662, December.
    4. Boikanyo Makubate & Fastel Chipepa & Broderick Oluyede & Peter O. Peter, 2021. "The Marshall-Olkin Half Logistic-G Family of Distributions With Applications," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 10(2), pages 120-120, March.
    5. Sumanta Pasari & Onkar Dikshit, 2018. "Stochastic earthquake interevent time modeling from exponentiated Weibull distributions," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 90(2), pages 823-842, January.
    6. Isidro Jesús González-Hernández & Rafael Granillo-Macías & Carlos Rondero-Guerrero & Isaías Simón-Marmolejo, 2021. "Marshall-Olkin distributions: a bibliometric study," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(11), pages 9005-9029, November.
    7. Md. Mahabubur Rahman & Bander Al-Zahrani & Muhammad Qaiser Shahbaz, 2019. "Cubic Transmuted Weibull Distribution: Properties and Applications," Annals of Data Science, Springer, vol. 6(1), pages 83-102, March.
    8. Saralees Nadarajah & Gauss Cordeiro & Edwin Ortega, 2013. "The exponentiated Weibull distribution: a survey," Statistical Papers, Springer, vol. 54(3), pages 839-877, August.
    9. Gokarna R. Aryal & Keshav P. Pokhrel & Netra Khanal & Chris P. Tsokos, 2019. "Reliability Models Using the Composite Generalizers of Weibull Distribution," Annals of Data Science, Springer, vol. 6(4), pages 807-829, December.

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