Recent Advances in Lifetime and Reliability Models

Recent Advances in Lifetime and Reliability Models

Introduction: Mathematicians and statisticians have made significant academic progress on the subject of distribution theory in the last two decades, and this area of study is becoming one of the ...
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Exponentiated Models

Pp. 26-52 (27)

Gauss M. Cordeiro, Rodrigo B. Silva and Abraão D. C. Nascimento

Abstract

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.

Affiliation:

Universidade Federal de Pernambuco, Brazil.