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Revista Colombiana de Estadística

Print version ISSN 0120-1751

Rev.Colomb.Estad. vol.38 no.2 Bogotá July/Dec. 2015

https://doi.org/10.15446/rce.v38n2.51666 

http://dx.doi.org/10.15446/rce.v38n2.51666

A Bimodal Extension of the Generalized Gamma Distribution

Una extensión bimodal de la distribución gamma generalizada

MEHMET NIYAZI ÇANKAYA1, YAKUP MURAT BULUT2, FATMA ZEHRA DOGRU3, OLCAY ARSLAN4

1Ankara University, Faculty of Science, Department of Statistics, Ankara, Turkey. Ph.D. Student. Email: mncankaya@ankara.edu.tr
2Osmangazi University, Faculty of Science and Letters, Department of Statistics, Eskisehir, Turkey. Ph.D. Student. Email: ymbulut@ogu.edu.tr
3Ankara University, Faculty of Science, Department of Statistics, Ankara, Turkey. Ph.D. Student. Email: fzdogru@ankara.edu.tr
4Ankara University, Faculty of Science, Department of Statistics, Ankara, Turkey. Professor. Email: oarslan@ankara.edu.tr


Abstract

A bimodal extension of the generalized gamma distribution is proposed by using a mixing approach. Some distributional properties of the new distribution are investigated. The maximum likelihood (ML) estimators for the parameters of the new distribution are obtained. Real data examples are given to show the strength of the new distribution for modeling data.

Key words: Bimodality, Exponential Power Distribution, Generalized Gamma, Skewness.


Resumen

Una extensión bimodal de la distribución gamma generalizada es propuesta a través de un enfoque de mixturas. Algunas propiedades de la nueva distribución son investigadas. Los estimadores máximo verosímiles (ML por sus siglas en inglés) de los parámetros de la nueva distribución son obtenidos. Algunos ejemplos con datos reales son utilizados con el fin de mostrar las fortalezas de la nueva distribución en la modelación de datos.

Palabras clave: bimodalidad, distribución potencia exponencial, gamma generalizada, sesgo.


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[Recibido en julio de 2014. Aceptado en enero de 2015]

Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:

@ARTICLE{RCEv38n2a04,
    AUTHOR  = {\c{C}ankaya, Mehmet Niyazi and Bulut, Yakup Murat and Do\v{g}ru, Fatma Zehra and Arslan, Olcay},
    TITLE   = {{A Bimodal Extension of the Generalized Gamma Distribution}},
    JOURNAL = {Revista Colombiana de Estadística},
    YEAR    = {2015},
    volume  = {38},
    number  = {2},
    pages   = {371-384}
}