A New Exponentiated Extended Family of Distributions with Applications

Year 2017, Volume: 30 Issue: 3, 101 - 115, 20.09.2017

M. Elgarhy , Muhammad Haq , Gamze Ozel

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. (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

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