A New Exponentiated Extended Family of Distributions with Applications

Authors : M Elgarhy, Muhammad Haq, Gamze Ozel

Pages : 101-115

View : 16 | Download : 8

Publication Date : 2017-09-20

Article Type : Research Paper

Abstract :We introduce a new family of univariate continuous distributions called the exponentiated extended-G family which extends the extended-G family pioneered by Cordeiro et al. insert ignore into journalissuearticles values(2003);. The new family includes several known models. We obtain general explicit expressions for the quantile function, moments, probability weighted moments, generating function, mean deviation and order statistics. The model parameters are estimated by the maximum likelihood method . The flexibility of the proposed family is illustrated by means of two applications to real data sets. The results show that the proposed family is more flexible than existing families having even more parameters.
Keywords : Generated distributions, Order statistics, Quantiles