The Small-Sample Bias of the Gini Coefficient: Results and Implications for Empirical Research
AbstractThe Gini coefficient is a downward-biased measure of inequality in small populations when income is generated by one of three common distributions. The paper discusses the sources of bias and argues that this property is far more general. This has implications for (i) the comparison of inequality among subsamples, some of which may be small, and (ii) the use of the Gini in measuring firm size inequality in markets with a small number of firms. The small-sample bias has often led to misperceptions about trends in industry concentration. A small-sample adjustment results in a reduced bias, which can no longer be signed. This remaining bias rises with the dispersion and falls with increasing skewness of the distribution. Finally, an empirical example illustrates the importance of using the adjusted Gini. In this example it is shown that, controlling for market characteristics, larger shipping cartels include a set of firms that is stochastically identical (in terms of relative size) to those of smaller shipping cartels. © 2003 President and Fellows of Harvard College and the Massachusetts Institute of Technology.
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Bibliographic InfoArticle provided by MIT Press in its journal Review of Economics and Statistics.
Volume (Year): 85 (2003)
Issue (Month): 1 (February)
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- Russell Davidson, 2009.
"Reliable inference for the GINI Index,"
- James Alm & Yongzheng Liu, 2013.
"China's Tax-for-Fee Reform and Village Inequality,"
1304, Tulane University, Department of Economics.
- Cassey, Andrew J. & Smith, Ben O., 2014.
"Simulating confidence for the Ellison–Glaeser index,"
Journal of Urban Economics,
Elsevier, vol. 81(C), pages 85-103.
- Andrew J. Cassey & Ben O. Smith, 2012. "Simulating Confidence for the Ellison-Glaeser Index," Working Papers 2012-8, School of Economic Sciences, Washington State University.
- Cesar Martinelli & Richard Sicotte, 2004.
"Voting in Cartels: Theory and Evidence from the Shipping Industry,"
0404, Centro de Investigacion Economica, ITAM, revised 05 Mar 2004.
- César Martinelli & Rich Sicotte, 2004. "Voting in Cartels: Theory and Evidence from the Shipping Industry," Levine's Bibliography 122247000000000598, UCLA Department of Economics.
- Heshmati, Almas, 2004. "Data Issues and Databases Used in Analysis of Growth, Poverty and Economic Inequality," IZA Discussion Papers 1263, Institute for the Study of Labor (IZA).
- David E. Giles, 2005. "The Bias of Inequality Measures in Very Small Samples: Some Analytic Results," Econometrics Working Papers 0514, Department of Economics, University of Victoria.
- Tom Van Ourti & Philip Clarke, 2008. "The Bias of the Gini Coefficient due to Grouping," Tinbergen Institute Discussion Papers 08-095/3, Tinbergen Institute.
- Billings, Stephen B. & Johnson, Erik B., 2012. "The location quotient as an estimator of industrial concentration," Regional Science and Urban Economics, Elsevier, vol. 42(4), pages 642-647.
- Wodon, Quentin & Yitzhaki, Shlomo, 2003. "The effect of using grouped data on the estimation of the Gini income elasticity," Economics Letters, Elsevier, vol. 78(2), pages 153-159, February.
- T. Demuynck, 2009.
"An (almost) unbiased estimator for the S-Gini index,"
Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium
09/569, Ghent University, Faculty of Economics and Business Administration.
- Thomas Demuynck, 2012. "An (almost) unbiased estimator for the S-Gini index," Journal of Economic Inequality, Springer, vol. 10(1), pages 109-126, March.
- Amlan Majumder & Takayoshi Kusago, 2013. "A discreet approach to study the distribution-free downward biases of Gini coefficient and the methods of correction in cases of small observations," Working Papers 298, ECINEQ, Society for the Study of Economic Inequality.
- Kaja Bonesmo Fredriksen, 2012. "Income Inequality in the European Union," OECD Economics Department Working Papers 952, OECD Publishing.
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