2012•Unpublished venueRequires access

The Gamma-Exponentiated Weibull Distribution

Luís Gustavo, B. Pinho, Gauss M. Cordeiro

Abstract

We study the gamma-exponentiated Weibull distribution which includes as special cases several models such as the exponential, Weibull, exponentiated Weibull, gamma-exponentiated exponential and exponentiated exponential distributions. This new distribution might be useful for failure time data analysis. We demonstrate that its density function is an infinite linear combination of Weibull densities. Some mathematical properties of the new distribution are derived, such as moments, distribution of the order statistics, Shannon and

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Key concepts: Weibull distribution, Exponentiated Weibull distribution, Gamma distribution, Natural exponential family, Mathematics, Exponential function, Weibull modulus, Generalized gamma distribution