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...

Full description

Bibliographic Details
Authors: Nascimento, Abraão D. C., Bourguignon, Marcelo, Zea, Luz M., Santos-Neto, Manoel, Silva, Rodrigo B., Cordeiro, Gauss M.
Format: article
Status:Published version
Publication Date:2014
Country:Brasil
Institution:Universidade Federal do Rio Grande do Norte (UFRN)
Repository:Repositório Institucional da UFRN
Language:English
OAI Identifier:oai:repositorio.ufrn.br:123456789/49658
Online Access:https://repositorio.ufrn.br/handle/123456789/49658
Access Level:Open access
Keyword:Extended Weibull distributions
Hazard rate function
Maximum likelihood estimation
Moments
Stacy’s generalized gamma distribution
Description
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.