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http://dx.doi.org/10.5351/KJAS.2003.16.2.283

Estimation of the Gini Index Based on the Properties of Circle  

강석복 (영남대학교 수학통계학부)
조영석 (밀양대학교 자율전공학부)
Publication Information
The Korean Journal of Applied Statistics / v.16, no.2, 2003 , pp. 283-291 More about this Journal
Abstract
The Gini index is one of the most commonly used measures of inequality of income distributions. In this paper, the Lorenz curve is estimated by arcs of two optimal circles, and a new simple method to estimate the Gini index is proposed using the law of cosines. We compare the proposed estimator with the estimator proposed by Ogwang and Rao(1996) in terms of the mean squared error(MSE) though Monte Carlo simulation in a Pareto distribution.
Keywords
Gini index; Lorenx curve;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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[ Gastwirth,J.L. ] / Econometrica   DOI   ScienceOn
2 Estimation of Gini index of the Pareto distribution /
[ Kang,S.B.;Cho,Y.S. ] / Journal of Information & Optimization Sciences   DOI
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[ Moothathu,T.S.K. ] / Sankhya
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[ Ogwang,T.;Rao,U.L.G. ] / Economics Letters   DOI   ScienceOn
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[ Moothathu,T.S.K. ] / Annals of the Institute of Statistical Mathematics   DOI
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[ Kang,S.B.;Cho,Y.S. ] / The Korean Communications in Statistics   과학기술학회마을