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A Cautionary Note on Estimating the Standard Error of the Gini Index of Inequality

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Author Info
Reza Modarres
Joseph L. Gastwirth
Abstract

We will show that the regression approach to estimating the standard error of the Gini index can produce incorrect results as it does not account for the correlations introduced in the error terms once the data are ordered. To assess the effect of ignoring the correlation in the error terms we examined two distributions and show that the regression method overestimates the standard error of the Gini index. We recommend that the more mathematically complex or computationally intensive methods be used. Copyright 2006 Blackwell Publishing Ltd.

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File URL: http://www.blackwell-synergy.com/doi/abs/10.1111/j.1468-0084.2006.00167.x
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Article provided by Department of Economics, University of Oxford in its journal Oxford Bulletin of Economics and Statistics.

Volume (Year): 68 (2006)
Issue (Month): 3 (06)
Pages: 385-390
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Handle: RePEc:bla:obuest:v:68:y:2006:i:3:p:385-390

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  1. Joseph Gastwirth & Reza Modarres & Efstathia Bura, 2005. "The use of the Lorenz curve, Gini index and related measures of relative inequality and uniformity in securities law," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 451-469. [Downloadable!]
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This page was last updated on 2009-12-19.


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