Recent Advances in Lifetime and Reliability Models

The Gamma-G Family of Distributions

Author(s): Gauss M. Cordeiro, Rodrigo B. Silva and Abraão D. C. Nascimento

Pp: 149-177 (29)

DOI: 10.2174/9781681083452120010009

* (Excluding Mailing and Handling)


This chapter presents the gamma generalized family of distributions proposed by Zofragos and Balakrishnan (2009). Several mathematical properties are provided such as representations for gamma-G density and cumulative functions, some generalized moments, quantile and generating functions and entropies. A bivariate generalization is presented. An application is performed in order to illustrate empirically the usefulness of this family.

Keywords: Gamma-G Model; GGum; GLL; GLN; GN; GW; Mean deviation; Moment; Order statistic.

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