Published

2017-07-01

A comparative study of the Gini coefficient estimators based on the linearization and U-statistics Methods

Estudio comparativo de coeficientes de estimación Gini basados en la linealización y métodos de U-statsitics

DOI:

https://doi.org/10.15446/rce.v40n2.53399

Keywords:

Gini coefficient, Inequality index, U-statistics, Linearization method, Resampling techniques. (en)
Índice Gini, Distribuciones de la renta, Método de linealización, Técnicas de remuestreo, U-statistics (es)

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Authors

  • Shahryar Mirzaei Ferdowsi University of Mashhad
  • Gholam Reza Mohtashami Borzadaran Ferdowsi University of Mashhad
  • Mohammad Amini Ferdowsi University of Mashhad

In this paper, we consider two well-known methods for analysis of the Gini index, which are U-statistics and linearization for some income
distributions. In addition, we evaluate two different methods for some properties of their proposed estimators. Also, we compare two methods with resampling techniques in approximating some properties of the Gini index. A simulation study shows that the linearization method performs 'well' compared to the Gini estimator based on U-statistics. A brief study on real data supports our findings.

En este artículo consideramos dos métodos ampliamente conocidos para en análisis del índice Gini, los cuales son U-statistics y linealización. Adicionalmente, evaluamos los dos métodos diferentes con base en las propiedades de los estimadores propuestos sobre distribuciones de la renta. También comparamos los métodos con técnicas de remuestreo aproximando algunas propiedades del índice Gini. Un estudio de simulación muestra que el método de linealización se comporta ``bien'' comparado con el método basado en U-statistics. Un corto estudio de datos reales confirma nuestro resultado.

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Mirzaei, S., Mohtashami Borzadaran, G. R., & Amini, M. (2017). A comparative study of the Gini coefficient estimators based on the linearization and U-statistics Methods. Revista Colombiana De Estadística, 40(2), 205-221. https://doi.org/10.15446/rce.v40n2.53399

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