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Revista Colombiana de Estadística
versão impressa ISSN 0120-1751
Rev.Colomb.Estad. vol.46 no.1 Bogotá jan./jun. 2023 Epub 18-Jan-2023
https://doi.org/10.15446/rce.v46nl.100483
ARTÍCULOS ORIGINALES DE INVESTIGACIÓN
The Gamma Odd Weibull Generalized-G Family of Distributions: Properties and Applications
La familia de distribuciones Gamma Odd Weibull Generalized-G: propiedades y aplicaciones
1Department of Mathematics & Statistical Sciences, Faculty of Science, Botswana International University of Science & Technology, Palapye, Botswana
2Department of Mathematics, University of Dayton, Dayton, United States
A new generalized family of models called the Gamma Odd Weibull Generalized-G (GOWG-G) family of distributions is proposed and studied. Properties of the new family of distributions including moments, conditional moments, distribution of the order statistics and Rényi entropy are derived. Maximum likelihood estimation technique is used to estimate the model parameters. Four special cases of the GOWG-G family of distributions are considered. A simulation study was carried out to examine the accuracy of the Maximum Likelihood Estimates (MLE) of the parameters.
Key words: Generalized-G distribution; Generalized transformation; Generalized distribution; Maximum likelihood estimation
Una nueva familia generalizada de modelos llamada Gamma Odd Weibull Se propone y estudia la familia de distribuciones Generalized-G (GOWG-G). Propiedades de la nueva familia de distribuciones incluyendo momentos, condicional Se derivan momentos, estadísticas de distribución del orden y entropía de Rényi. La técnica de estimación de máxima verosimilitud se utiliza para estimar los parámetros del modelo. Cuatro casos especiales de la familia de distribuciones GOWG-G son considerado. Un estudio de simulación para examinar el sesgo y el error cuadrático medio de los estimadores de máxima verosimilitud y aplicaciones a conjuntos de datos reales para ilustra la utilidad de la distribución generalizada.
Palabras clave: Distribución G generalizada; Transformación generalizada; Distribución generalizada; Estimación de máxima verosimilitud
Acknowledgements
The authors wish to thank the anonymous reviewers and editor for their careful readings and for their comments that greatly improved the manuscript.
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Received: January 2022; Accepted: July 2022
This is an open-access article distributed under the terms of the Creative Commons Attribution License
