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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Detalles Bibliográficos
Autores: Nascimento, Abraão D. C., Bourguignon, Marcelo, Zea, Luz M., Santos-Neto, Manoel, Silva, Rodrigo B., Cordeiro, Gauss M.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:Brasil
Institución:Universidade Federal do Rio Grande do Norte (UFRN)
Repositorio:Repositório Institucional da UFRN
Idioma:inglés
OAI Identifier:oai:repositorio.ufrn.br:123456789/49658
Acceso en línea:https://repositorio.ufrn.br/handle/123456789/49658
Access Level:acceso abierto
Palabra clave:Extended Weibull distributions
Hazard rate function
Maximum likelihood estimation
Moments
Stacy’s generalized gamma distribution
Descripción
Sumario: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.