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Cubic Transmuted Weibull Distribution: Properties and Applications

Author

Listed:
  • Md. Mahabubur Rahman

    (King Abdulaziz University
    Islamic University)

  • Bander Al-Zahrani

    (King Abdulaziz University)

  • Muhammad Qaiser Shahbaz

    (King Abdulaziz University)

Abstract

In this paper, a cubic transmuted Weibull ( $$ CTW $$ CTW ) distribution has been proposed by using the general family of transmuted distributions introduced by Rahman et al. (Pak J Stat Oper Res 14:451–469, 2018). We have explored the proposed $$ CTW $$ CTW distribution in details and have studied its statistical properties as well. The parameter estimation and inference procedure for the proposed distribution have been discussed. We have conducted a simulation study to observe the performance of estimation technique. Finally, we have considered two real-life data sets to investigate the practicality of proposed $$ CTW $$ CTW distribution.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:aodasc:v:6:y:2019:i:1:d:10.1007_s40745-018-00188-y
    DOI: 10.1007/s40745-018-00188-y
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    References listed on IDEAS

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    1. Manisha & M. MASOOM ALI & JUNGSOO WOO, 2006. "Exponentiated Weibull distribution," Statistica, Department of Statistics, University of Bologna, vol. 66(2), pages 139-147.
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    Cited by:

    1. Hassan M. Okasha & Abdulkareem M. Basheer & A. H. El-Baz, 2021. "Marshall–Olkin Extended Inverse Weibull Distribution: Different Methods of Estimations," Annals of Data Science, Springer, vol. 8(4), pages 769-784, December.
    2. Abdul Ghaniyyu Abubakari & Claudio Chadli Kandza-Tadi & Edwin Moyo, 2023. "Modified Beta Inverse Flexible Weibull Extension Distribution," Annals of Data Science, Springer, vol. 10(3), pages 589-617, June.
    3. Abdisalam Hassan Muse & Samuel M. Mwalili & Oscar Ngesa, 2021. "On the Log-Logistic Distribution and Its Generalizations: A Survey," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 10(3), pages 1-93, June.

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