Recent Advances in Lifetime and Reliability Models

Exponentiated Models

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

Pp: 26-52 (27)

DOI: 10.2174/9781681083452120010004

* (Excluding Mailing and Handling)


The exponentiation transform of cumulative distributions can furnish more exible models. Such procedure generates the exponentiated G (exp-G) distributions. This chapter presents a survey on the exp-G models and its mathematical properties. In particular, explicit expressions for the quantile function, ordinary and incomplete moments, generating function, income measures, order statistics and entropies are addressed.

Keywords: Exponentiated model; Generating function; Hazard function; Moment; Weibull distribution.

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