Revista Colombiana de Estadística (Jul 2017)

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

  • Shahryar Mirzaei ,
  • Gholam Reza Mohtashami Borzadaran ,
  • Mohammad Amini

DOI
https://doi.org/10.15446/rce.v40n2.53399
Journal volume & issue
Vol. 40, no. 2
pp. 205 – 221

Abstract

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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.

Keywords