Distribución Harris-Kumaraswamy
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Date
2021
Authors
Osuna Vergara, Ignacio Segundo
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Abstract
En este trabajo, proponemos una nueva distribución de cuatro parámetros llamada Harris- Kumaraswamy (HK), que es una alternativa a las distribuciones conocidas en la literatura para modelar variables en diferentes campos cuyo soporte es el intervalo unitario estándar (0; 1). La distribución HK es obtenida como una generalización de la distribución Kumaraswamy utilizando el método propuesto en Aly and Benkherouf (2011). Varias propiedades matemáticas y estadísticas importantes del modelo propuesto son estudiadas e investigadas. El método de máxima verosimilitud es utilizado para estimar los parámetros del modelo. Evaluamos el desempeño del método de máxima verosimilitud mediante un estudio de simulación numérica. Finalmente, dos conjuntos de datos reales son utilizados para ilustrar la flexibilidad de la distribución HK en comparación con las distribuciones Kumaraswamy y Beta.
In thiswork,we propose a new four-parameter distribution called the Harris-Kumaraswamy (HK), which is an alternative to the distributions known in the literature to model variables in different fields whose support is the standard unit interval (0; 1). The HK distribution is obtained as a generalization of the Kumaraswamy distribution using the method proposed in Aly and Benkherouf (2011). Several important mathematical and statistical properties of the proposed model are studied and investigated. The maximum likelihood method is used to estimate the model parameters. We assess the performance of the maximum likelihood method by means of a numerical simulation study. Finally, two real data sets are used to illustrate the flexibility of the HK distribution when compared with the Kumaraswamy and Beta distributions.
In thiswork,we propose a new four-parameter distribution called the Harris-Kumaraswamy (HK), which is an alternative to the distributions known in the literature to model variables in different fields whose support is the standard unit interval (0; 1). The HK distribution is obtained as a generalization of the Kumaraswamy distribution using the method proposed in Aly and Benkherouf (2011). Several important mathematical and statistical properties of the proposed model are studied and investigated. The maximum likelihood method is used to estimate the model parameters. We assess the performance of the maximum likelihood method by means of a numerical simulation study. Finally, two real data sets are used to illustrate the flexibility of the HK distribution when compared with the Kumaraswamy and Beta distributions.
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Osuna Vergara, Ignacio Segundo . (2021). Distribución Harris-Kumaraswamy (tesis de maestría). Universidad Tecnológica de Bolívar.