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E-bayesian and H-bayesian Estimation of Inverse Power Lomax Distribution under Different Loss Functions with an Application of Clinical Data
Estimación e-bayesiana y h-bayesiana de la distribución de potencia inversa de Lomax bajo diferentes funciones de pérdida con una aplicación de datos clínicos
DOI:
https://doi.org/10.15446/rce.v48n2.116221Keywords:
Bayesian estimation, e-bayesian estimation, h-bayesian estimation, inverse power lomax distribution, mean squared error. (en)Distribución Lomax de potencia inversa, error cuadrático medio, estimación bayesiana, estimación e-bayesiana, estimación h-bayesiana. (es)
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In this paper, Expected Bayesian and Hierarchical Bayesian techniques have been discussed to estimate the shape parameter of the inverse power Lomax distribution. The proposed estimates for the shape parameter are obtained by using an informative gamma prior based on squared error, entropy and weighted balance loss functions. The definitions of the proposed estimators as well as their characteristics are provided. A Monte Carlo simulation is executed to compare the performance of the proposed estimators in terms of mean squared error. Finally a real life data set has been analyzed for further illustrations.
En este artículo, se analizan las técnicas bayesiana esperada y bayesiana jerárquica para estimar el parámetro de forma de la distribución Lomax de potencia inversa. Las estimaciones propuestas para el parámetro de forma se obtienen utilizando una distribución gamma previa informativa basada en el error cuadrático, la entropía y las funciones de pérdida de balance ponderadas. Se proporcionan las definiciones de los estimadores propuestos, así como sus características. Se ejecuta una simulación de Monte Carlo para comparar el rendimiento de los estimadores propuestos en términos de error cuadrático medio. Finalmente, se analiza un conjunto de datos reales para obtener más ejemplos.
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