Document Type
Article
Publication Date
10-2016
Publication Title
Journal of Data Science
ISSN
1683-8602
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, gamma-exponentiated 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.
Recommended Citation
Pu, Shusen, Broderick O. Oluyede, Yuqi Qui, Daniel F. Linder.
2016.
"A Generalized Class of Exponentiated Modified Weibull Distribution with Applications."
Journal of Data Science, 14 (4): 585-614.
source: https://www.researchgate.net/publication/310607265_A_GENERALIZED_CLASS_OF_EXPONENTIATED_MODIFIED_WEIBULL_DISTRIBUTION_WITH_APPLICATIONS
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/623
Comments
Authors keep their copyright. Article obtained from the Journal of Data Science.