1Department of Statistics, School of Physical Sciences, Federal University of Technology, Owerri, Imo State, Nigeria
2Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Anambra State, Nigeria
Turkish Journal of Analysis and Number Theory.
2021,
Vol. 9 No. 3, 52-64
DOI: 10.12691/tjant-9-3-4
Copyright © 2021 Science and Education PublishingCite this paper: Anyiam Kizito Ebere, Onyeagu Sydney Iheanyi, Njoku Modestus Onyekachi. On the Families of Generalized Exponentiated Weibull Distributions: Properties and Applications.
Turkish Journal of Analysis and Number Theory. 2021; 9(3):52-64. doi: 10.12691/tjant-9-3-4.
Correspondence to: Anyiam Kizito Ebere, Department of Statistics, School of Physical Sciences, Federal University of Technology, Owerri, Imo State, Nigeria. Email:
kizito.anyiam@futo.edu.ngAbstract
Some new families of exponentiated Weibull (EW) distribution named T-Exponentiated Weibull{Y} using the T-R{Y} context are presented in this article. The quantile functions of five notable distributions, namely, Logistic, Log-Logistic, Rayleigh, Exponential and Lomax were used to develop five sub-families T-EW{Logistic}, T-EW{Log-Logistic}, T-EW{Rayleigh}, T-EW{Exponential} and T-EW{Lomax} and some general properties such as the quantile functions, Moments, mean deviations from the mean and median, Shannon entropies are obtained. The shapes of the exponentiated Weibull family densities shows can be unimodal, bimodal, monotonically decreasing, skewed to the left, skewed to the right and almost symmetric curves while the hazard function can be bathtub shaped, up-side down bathtub shaped, and increasing-deceasing-increasing. To demonstrate the flexibility and usefulness of the model, three real-life datasets analyzed and the results compared with some competing models.
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