A new generalized Weibull distribution generated by gamma random variables

Document Type : Original Article

Authors

1 Departamento de Estatı´stica, Universidade Federal de Minas Gerais, Belo Horizonte, MG, Brazil

2 Departamento de Estatı´stica, Universidade Federal de Pernambuco, Recife, PE, Brazil

Abstract

We propose a new and simple representation for the probability density function of the
gamma-G family of distributions as an absolutely convergent power series of the cumulative function of the baseline G distribution. Additionally, the special case the so-called gamma exponentiated Weibull model is introduced and studied in details. 

Keywords