The Gamma Odd Weibull Generalized-G Family of Distributions: Properties and Applications

Broderick O. Oluyede; Gayan Warahena-Liyanage

Ayuda

The Gamma Odd Weibull Generalized-G Family of Distributions: Properties and Applications

Autores: Broderick O. Oluyede, Gayan Warahena-Liyanage
Localización: Revista Colombiana de Estadística, ISSN-e 2389-8976, ISSN 0120-1751, Vol. 46, Nº. 1, 2023, págs. 1-44
Idioma: inglés
DOI: 10.15446/rce.v46nl.100483
Títulos paralelos:
- La familia de distribuciones Gamma Odd Weibull Generalized-G: propiedades y aplicaciones
Enlaces
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Resumen
- español
  Resumen 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.
- English
  Abstract 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.
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