A note on the relationship between top income shares and the Gini coefficient
AbstractWhen 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Economics Letters.
Volume (Year): 110 (2011)
Issue (Month): 3 (March)
Contact details of provider:
Web page: http://www.elsevier.com/locate/ecolet
Gini coefficient Top income shares Pareto distribution;
Other versions of this item:
- Alvaredo, Facundo, 2010. "A Note on the Relationship between Top Income Shares and the Gini Coefficient," CEPR Discussion Papers 8071, C.E.P.R. Discussion Papers.
- D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
- H2 - Public Economics - - Taxation, Subsidies, and Revenue
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- 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.
- Dagum, Camilo, 1997. "A New Approach to the Decomposition of the Gini Income Inequality Ratio," Empirical Economics, Springer, vol. 22(4), pages 515-31.
- Andrew Leigh, 2007.
"How Closely Do Top Income Shares Track Other Measures of Inequality?,"
CEPR Discussion Papers
562, Centre for Economic Policy Research, Research School of Economics, Australian National University.
- 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.
- Lopez, Ramon E., 2011. "Fiscal Policy in Chile: Promoting Faustian Growth?," Working Papers 143326, University of Maryland, Department of Agricultural and Resource Economics.
- 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.
- 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.
- Paul Makdissi & Myra Yazbeck, 2012. "On the Measurement of Indignation," Working Papers 1213E, University of Ottawa, Department of Economics.
- N. Frémeaux & Thomas Piketty, 2013. "GINI Country Report: Growing Inequalities and their Impacts in France," GINI Discussion Papers france, AIAS, Amsterdam Institute for Advanced Labour Studies.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.