1. A GENERALIZED CLASS OF EXPONENTIATED MODI ED WEIBULL DISTRIBUTION WITH APPLICATIONS
- Author
-
Broderick O. Oluyede, Yuqi Qiu, Daniel F. Linder, and Shusen Pu
- Subjects
Statistics::Theory ,Class (set theory) ,Order statistic ,Exponential function ,Rényi entropy ,symbols.namesake ,Bonferroni correction ,Distribution (mathematics) ,symbols ,Statistics::Methodology ,Applied mathematics ,Lorenz curve ,Weibull distribution ,Mathematics - Abstract
In this paper, a new class of five parameter gamma-exponentiated or generalized modified Weibull (GEMW) distribution which includes exponential, Rayleigh, Weibull, modified Weibull, exponentiated Weibull, exponentiated exponential, exponentiated modified Weibull, exponentiated modified exponential, gamma-exponentiated exponential, gammaexponentiated Rayleigh, gamma-modified Weibull, gamma-modified exponential, gamma-Weibull, gamma-Rayleigh and gamma-exponential distributions as special cases is proposed and studied. Mathematical properties of this new class of distributions including moments, mean deviations, Bonferroni and Lorenz curves, distribution of order statistics and Renyi entropy are presented. Maximum likelihood estimation technique is used to estimate the model parameters and applications to real data sets presented in order to illustrate the usefulness of this new class of distributions and its sub-models.
- Published
- 2021