The gamma extended Weibull family of distributions

We introduce a new family of distributions called the gamma extended Weibull family. The proposed family includes several well-known models as special cases and defines at least seventeen new special models. Structural properties of this family are studied. Additionally, the maximum likelihood metho...

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Bibliographic Details
Published inJournal of statistical theory and applications Vol. 13; no. 1; pp. 1 - 16
Main Authors Nascimento, Abraão D. C., Bourguignon, Marcelo, Zea, Luz M., Santos-Neto, Manoel, Silva, Rodrigo B., Cordeiro, Gauss M.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.03.2014
Springer Nature B.V
Springer
Subjects
Extended Weibull distributions; Hazard rate function; Maximum likelihood estimation; Moments; Stacy’s generalized gamma distribution
Research Article
Hazard rate function
Maximum likelihood estimation
Moments
Stacy’s generalized gamma distribution
Extended Weibull distributions
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Summary:We introduce a new family of distributions called the gamma extended Weibull family. The proposed family includes several well-known models as special cases and defines at least seventeen new special models. Structural properties of this family are studied. Additionally, the maximum likelihood method for estimating the model parameters is discussed. An application to real data illustrates the usefulness of the new family. The results provide evidence that the proposed family outperforms other classes of lifetime models.
ISSN:1538-7887
2214-1766
1538-7887
DOI:10.2991/jsta.2014.13.1.1