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Cubic Transmuted Pareto Distribution

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 article, we have proposed the cubic transmuted Pareto distribution, by using the cubic transmuted family of distributions introduced by Rahman et al. (in Pak J Stat Oper Res 14:451–469, 2018). We have explored the distribution in detail and statistical properties of the distribution have been studied. The parameter estimation for the distribution has been discussed and the performance of estimators is studied by conducting extensive simulation study. Finally, the cubic transmuted Pareto distribution has been fitted on two real datasets to investigate it’s applicability.

Suggested Citation

  • Md. Mahabubur Rahman & Bander Al-Zahrani & Muhammad Qaiser Shahbaz, 2020. "Cubic Transmuted Pareto Distribution," Annals of Data Science, Springer, vol. 7(1), pages 91-108, March.
    • Handle: RePEc:spr:aodasc:v:7:y:2020:i:1:d:10.1007_s40745-018-0178-8
    DOI: 10.1007/s40745-018-0178-8
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    Citations

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    Cited by:

    1. Shahzad Hussain & Sajjad Haider Bhatti & Tanvir Ahmad & Muhammad Ahmed Shehzad, 2021. "Parameter estimation of the Pareto distribution using least squares approaches blended with different rank methods and its applications in modeling natural catastrophes," 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. 107(2), pages 1693-1708, June.
    2. Indrajeet Kumar & Shishir Kumar Jha & Kapil Kumar, 2023. "On Some Estimation Methods for the Inverse Pareto Distribution," Annals of Data Science, Springer, vol. 10(4), pages 1035-1068, August.
    3. Muhammad Aslam & Rahila Yousaf & Sajid Ali, 2020. "Bayesian Estimation of Transmuted Pareto Distribution for Complete and Censored Data," Annals of Data Science, Springer, vol. 7(4), pages 663-695, December.
    4. 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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