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Exponentiated Cubic Transmuted Weibull Distribution: Properties and Application

Author

Listed:
  • Oseghale O. I.

    (Department of Mathematics and Statistics, Joseph Babalola University, Ikeji Arakeji, Nigeria)

  • Akomolafe A. A.

    (Department of Statistics, Federal University of Technology Akure, Nigeria)

  • Gayawan E.

    (Department of Statistics, Federal University of Technology Akure, Nigeria)

Abstract

This work is focused on the four parameters Exponentiated Cubic Transmuted Weibull distribution which mostly found its application in reliability analysis most especially for data that are non-monotone and Bi-modal. Structural properties such as moment, moment generating function, Quantile function, Renyi entropy, and order statistics were investigated. Maximum likelihood estimation technique was used to estimate the parameters of the distribution. Application to two real life data sets shows the applicability of the distribution in modeling real data.

Suggested Citation

  • Oseghale O. I. & Akomolafe A. A. & Gayawan E., 2022. "Exponentiated Cubic Transmuted Weibull Distribution: Properties and Application," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 8(1), pages 1-11, 12-2021.
    • Handle: RePEc:arp:ajoams:2021:p:1-11
    DOI: 10.32861/ajams.81.1.11
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    References listed on IDEAS

    as
    1. Alexander, Carol & Cordeiro, Gauss M. & Ortega, Edwin M.M. & Sarabia, José María, 2012. "Generalized beta-generated distributions," Computational Statistics & Data Analysis, Elsevier, vol. 56(6), pages 1880-1897.
    2. Richard L. Smith & J. C. Naylor, 1987. "A Comparison of Maximum Likelihood and Bayesian Estimators for the Three‐Parameter Weibull Distribution," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 36(3), pages 358-369, November.
    3. Silva, Giovana O. & Ortega, Edwin M.M. & Cordeiro, Gauss M., 2009. "A log-extended Weibull regression model," Computational Statistics & Data Analysis, Elsevier, vol. 53(12), pages 4482-4489, October.
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