Open AccessA comparative study of the Gini coefficient estimators based on the linearization and U-statistics Methods
Author(s) -
Shahryar Mirzaei,
Gholam Reza Mohtashami Borzadaran,
Mohammad Amini
Publication year - 2017
Publication title -
revista colombiana de estadística/revista colombiana de estadistica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.256
H-Index - 16
eISSN - 2389-8976
pISSN - 0120-1751
DOI - 10.15446/rce.v40n2.53399
Subject(s) - estimator , mathematics , statistics , linearization , resampling , gini coefficient , index (typography) , econometrics , inequality , computer science , nonlinear system , economic inequality , mathematical analysis , quantum mechanics , world wide web , physics
In this paper, we consider two well-known methods for analysis of the Gini index, which are U-statistics and linearization for some incomedistributions. 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.