IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v110y2011i3p274-277.html
   My bibliography  Save this article

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

Author

Listed:
  • 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.

Suggested Citation

  • Alvaredo, Facundo, 2011. "A note on the relationship between top income shares and the Gini coefficient," Economics Letters, Elsevier, vol. 110(3), pages 274-277, March.
  • Handle: RePEc:eee:ecolet:v:110:y:2011:i:3:p:274-277
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-1765(10)00346-0
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Richard Burkhauser & Shuaizhang Feng & Stephen Jenkins & Jeff Larrimore, 2009. "Recent Trends in Top Income Shares in the USA: Reconciling Estimates from March CPS and IRS Tax Return Data," Working Papers 09-26, Center for Economic Studies, U.S. Census Bureau.
    2. Anthony B. Atkinson & Thomas Piketty & Emmanuel Saez, 2011. "Top Incomes in the Long Run of History," Journal of Economic Literature, American Economic Association, vol. 49(1), pages 3-71, March.
    3. Thomas Piketty & Emmanuel Saez, 2003. "Income Inequality in the United States, 1913–1998," The Quarterly Journal of Economics, Oxford University Press, vol. 118(1), pages 1-41.
    4. Andrew Leigh, 2007. "How Closely Do Top Income Shares Track Other Measures of Inequality?," Economic Journal, Royal Economic Society, vol. 117(524), pages 619-633, November.
    5. Anthony Atkinson & Thomas Piketty, 2010. "Top Incomes : A Global Perspective," PSE-Ecole d'économie de Paris (Postprint) halshs-00754875, HAL.
    6. Anthony Atkinson & Thomas Piketty, 2007. "Top incomes over the twentieth century: A contrast between continental european and english-speaking countries," Post-Print halshs-00754859, HAL.
    7. Atkinson, A. B. & Piketty, Thomas (ed.), 2010. "Top Incomes: A Global Perspective," OUP Catalogue, Oxford University Press, number 9780199286898.
    8. A.B. Atkinson & F. Bourguignon (ed.), 2000. "Handbook of Income Distribution," Handbook of Income Distribution, Elsevier, edition 1, volume 1, number 1.
    9. Dagum, Camilo, 1997. "A New Approach to the Decomposition of the Gini Income Inequality Ratio," Empirical Economics, Springer, vol. 22(4), pages 515-531.
    10. 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.
    11. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Metzing, Maria & Bartels, Charlotte, 2016. "An integrated approach for top-corrected Ginis," VfS Annual Conference 2016 (Augsburg): Demographic Change 145818, Verein für Socialpolitik / German Economic Association.
    2. Nora Lustig, 2020. "The ``missing rich'' in household surveys: causes and correction approaches," Working Papers 520, ECINEQ, Society for the Study of Economic Inequality.
    3. Nora Lustig, 2019. "The “Missing Rich” in Household Surveys: Causes and Correction Approaches," Commitment to Equity (CEQ) Working Paper Series 75, Tulane University, Department of Economics.
    4. Anthony B. Atkinson & Thomas Piketty & Emmanuel Saez, 2011. "Top Incomes in the Long Run of History," Journal of Economic Literature, American Economic Association, vol. 49(1), pages 3-71, March.
    5. Rafael Carranza & Marc Morgan & Brian Nolan, 2021. "Top Income Adjustments and Inequality: An Investigation of the EU-SILC," World Inequality Lab Working Papers halshs-03321885, HAL.
    6. Branko Milanovic, 2014. "The Return of "Patrimonial Capitalism": A Review of Thomas Piketty's Capital in the Twenty-First Century," Journal of Economic Literature, American Economic Association, vol. 52(2), pages 519-534, June.
    7. Gabriel Burdin & Fernando Esponda & Andrea Vigorito, 2004. "Inequality and Top Income in Uruguay: A Comparison between Household Surveys and Income Tax Micro-data," World Inequality Lab Working Papers halshs-02654095, HAL.
    8. Pawel Bukowski & Filip Novokmet, 2019. "Between Communism and Capitalism: Long-Term Inequality in Poland, 1892- 2015," World Inequality Lab Working Papers hal-02876995, HAL.
    9. Diego Winkelried & Bruno Escobar, 2022. "Declining inequality in Latin America? Robustness checks for Peru," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 20(1), pages 223-243, March.
    10. Liliana Cano, 2015. "Income Mobility in Ecuador: New Evidence from Individual Income Tax Returns," WIDER Working Paper Series wp-2015-040, World Institute for Development Economic Research (UNU-WIDER).
    11. Liliana Cano, 2015. "Income mobility in Ecuador: New evidence from individual income tax returns," WIDER Working Paper Series 040, World Institute for Development Economic Research (UNU-WIDER).
    12. Elina Tuominen, 2015. "Reversal of the Kuznets Curve: Study on the Inequality-Development Relation Using Top Income Shares Data," WIDER Working Paper Series wp-2015-036, World Institute for Development Economic Research (UNU-WIDER).
    13. H. Xavier Jara & Nicolás Oliva, 2018. "Top income adjustments and tax reforms in Ecuador," WIDER Working Paper Series wp-2018-165, World Institute for Development Economic Research (UNU-WIDER).
    14. Roman Bobilev & Anne Boschini & Jesper Roine, 2020. "Women in the Top of the Income Distribution: What Can We Learn From LIS-Data?," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 6(1), pages 63-107, March.
    15. Bukowski, Pawel & Novokmet, Filip, 2019. "Between communism and capitalism: long-term inequality in Poland, 1892-2015," LSE Research Online Documents on Economics 102834, London School of Economics and Political Science, LSE Library.
    16. Bukowski, Pawel & Novokmet, Filip, 2019. "Between communism and capitalism: long-term inequality in Poland, 1892-2015," LSE Research Online Documents on Economics 102814, London School of Economics and Political Science, LSE Library.
    17. Gabriel Burdín & Fernando Esponda & Andrea Vigorito, 2014. "Inequality and top incomes in Uruguay: a comparison between household surveys and income tax micro-data," Commitment to Equity (CEQ) Working Paper Series 1321, Tulane University, Department of Economics.
    18. Pawel Bukowski & Filip Novokmet, 2019. "Between communism and capitalism: long-term inequality in Poland, 1892-2015," CEP Discussion Papers dp1628, Centre for Economic Performance, LSE.
    19. Charlotte Bartels & Maria Metzing, 2019. "An integrated approach for a top-corrected income distribution," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 17(2), pages 125-143, June.
    20. Pawel Bukowski & Filip Novokmet, 2019. "Between Communism and Capitalism: Long-Term Inequality in Poland, 1892- 2015," Working Papers hal-02876995, HAL.

    More about this item

    Keywords

    Gini coefficient Top income shares Pareto distribution;

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • H2 - Public Economics - - Taxation, Subsidies, and Revenue

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecolet:v:110:y:2011:i:3:p:274-277. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: http://www.elsevier.com/locate/ecolet .

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.