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A note on the relationship between top income shares and the Gini coefficient

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  • Alvaredo, Facundo

Abstract

When a very top group of the income distribution, infinitesimal in numbers, owns a finite share S of total income, the Gini coefficient G can be approximated by G*(1 - S)Â +Â S, where G* is the Gini coefficient for the rest of the population. We provide a simple formal proof for this expression, give a general formula of the relationship when the top group is not infinitesimal, and offer two applications as illustrations.

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File URL: http://www.sciencedirect.com/science/article/B6V84-517BB1D-4/2/1205548783b8eafc32931059f06fa352
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Bibliographic Info

Article provided by Elsevier in its journal Economics Letters.

Volume (Year): 110 (2011)
Issue (Month): 3 (March)
Pages: 274-277

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Handle: RePEc:eee:ecolet:v:110:y:2011:i:3:p:274-277

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Web page: http://www.elsevier.com/locate/ecolet

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Keywords: Gini coefficient Top income shares Pareto distribution;

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References

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  1. Dagum, Camilo, 1987. "Measuring the Economic Affluence between Populations of Income Receivers," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(1), pages 5-12, January.
  2. Andrew Leigh, 2007. "How Closely Do Top Income Shares Track Other Measures of Inequality?," Economic Journal, Royal Economic Society, vol. 117(524), pages F619-F633, November.
  3. Atkinson, A. B. & Piketty, Thomas (ed.), 2007. "Top Incomes Over the Twentieth Century: A Contrast Between Continental European and English-Speaking Countries," OUP Catalogue, Oxford University Press, number 9780199286881.
  4. Thomas Piketty & Emmanuel Saez, 2003. "Income Inequality In The United States, 1913-1998," The Quarterly Journal of Economics, MIT Press, vol. 118(1), pages 1-39, February.
  5. Dagum, Camilo, 1997. "A New Approach to the Decomposition of the Gini Income Inequality Ratio," Empirical Economics, Springer, vol. 22(4), pages 515-31.
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Cited by:
  1. Ramón E. López & Eugenio Figueroa, 2011. "Fiscal policy in Chile: Hindering sustainable development by favoring myopic growth," Working Papers wp346, University of Chile, Department of Economics.
  2. Salvatore Morelli, 2014. "Banking Crises in the US: the Response of Top Income Shares in a Historical Perspective," CSEF Working Papers 359, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
  3. Salverda, Wiemer & Checchi, Daniele, 2014. "Labour-Market Institutions and the Dispersion of Wage Earnings," IZA Discussion Papers 8220, Institute for the Study of Labor (IZA).
  4. Wang, Lijian & Béland, Daniel & Zhang, Sifeng, 2014. "Pension fairness in China," China Economic Review, Elsevier, vol. 28(C), pages 25-36.
  5. Lopez, Ramon E., 2011. "Fiscal Policy in Chile: Promoting Faustian Growth?," Working Papers 143326, University of Maryland, Department of Agricultural and Resource Economics.
  6. Facundo Alvaredo & Leonardo Gasparini, 2013. "Recent Trends in Inequality and Poverty in Developing Countries," CEDLAS, Working Papers 0151, CEDLAS, Universidad Nacional de La Plata.
  7. N. Frémeaux & Thomas Piketty, 2013. "GINI Country Report: Growing Inequalities and their Impacts in France," GINI Country Reports france, AIAS, Amsterdam Institute for Advanced Labour Studies.
  8. Foellmi, Reto & Martinez, Isabel, 2012. "Volatile Top Income Shares in Switzerland? Reassessing the Evolution Between 1981 and 2008," Economics Working Paper Series 1227, University of St. Gallen, School of Economics and Political Science, revised Jun 2013.
  9. Paul Makdissi & Myra Yazbeck, 2012. "On the Measurement of Indignation," Working Papers 1213E, University of Ottawa, Department of Economics.

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