IDEAS home Printed from https://ideas.repec.org/p/cpr/ceprdp/12404.html
   My bibliography  Save this paper

Generalized Pareto Curves: Theory and Applications

Author

Listed:
  • Blanchet, Thomas
  • Fournier, Juliette
  • Piketty, Thomas

Abstract

We define generalized Pareto curves as the curve of inverted Pareto coefficients b(p), where b(p) is the ratio between average income or wealth above rank p and the p-th quantile Q(p) (i.e. b(p) = E[X|X > Q(p)]/Q(p)). We use them to characterize entire distributions, including places like the top where power laws are a good description, and places further down where they are not. We develop a method to nonparametrically recover the entire distribution based on tabulated income or wealth data as is generally available from tax authorities, which produces smooth and realistic shapes of generalized Pareto curves. Us- ing detailed tabulations from quasi-exhaustive tax data, we demonstrate the precision of our method both empirically and analytically. It gives better results than the most com- monly used interpolation techniques. Finally, we use Pareto curves to identify recurring distributional patterns, and connect those findings to the existing literature that explains observed distributions by random growth models.

Suggested Citation

  • Blanchet, Thomas & Fournier, Juliette & Piketty, Thomas, 2017. "Generalized Pareto Curves: Theory and Applications," CEPR Discussion Papers 12404, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:12404
    as

    Download full text from publisher

    File URL: http://www.cepr.org/active/publications/discussion_papers/dp.php?dpno=12404
    Download Restriction: CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at subscribers@cepr.org
    ---><---

    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. Taleb, Nassim Nicholas & Douady, Raphael, 2015. "On the super-additivity and estimation biases of quantile contributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 252-260.
    2. Neil Bania & Laura Leete, 2009. "Monthly household income volatility in the U.S., 1991/92 vs. 2002/03," Economics Bulletin, AccessEcon, vol. 29(3), pages 2100-2112.
    3. Thomas Piketty & Emmanuel Saez & Gabriel Zucman, 2016. "Appendix to "Distributional National Accounts: Methods and Estimates for the United States"," Working Papers 201604, World Inequality Lab.
    4. Garbinti, Bertrand & Goupille-Lebret, Jonathan & Piketty, Thomas, 2018. "Income inequality in France, 1900–2014: Evidence from Distributional National Accounts (DINA)," Journal of Public Economics, Elsevier, vol. 162(C), pages 63-77.
    5. Thomas Piketty & Emmanuel Saez & Gabriel Zucman, 2018. "Distributional National Accounts: Methods and Estimates for the United States," The Quarterly Journal of Economics, Oxford University Press, vol. 133(2), pages 553-609.
    6. Simon Kuznets & Elizabeth Jenks, 1953. "Shares of Upper Income Groups in Income and Savings (1953)," NBER Books, National Bureau of Economic Research, Inc, number kuzn53-1, September.
    7. Piketty, Thomas & Zucman, Gabriel, 2014. "Wealth and Inheritance in the Long Run," CEPR Discussion Papers 10072, C.E.P.R. Discussion Papers.
    8. Thomas Blanchet & Juliette Fournier & Thomas Piketty, 2017. "Generalized Pareto Curves : Theory and Applications," Working Papers halshs-02658851, HAL.
    9. Kacperczyk, Marcin & Nosal, Jaromir & Stevens, Luminita, 2019. "Investor sophistication and capital income inequality," Journal of Monetary Economics, Elsevier, vol. 107(C), pages 18-31.
    10. Charles I. Jones & Jihee Kim, 2018. "A Schumpeterian Model of Top Income Inequality," Journal of Political Economy, University of Chicago Press, vol. 126(5), pages 1785-1826.
    11. Bertrand Garbinti & Jonathan Goupille-Lebret & Thomas Piketty, 2017. "Income Inequality in France, 1900-2014: Evidence from Distributional National Accounts," Working Papers halshs-02658875, HAL.
    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. Garbinti, Bertrand & Goupille-Lebret, Jonathan & Piketty, Thomas, 2018. "Income inequality in France, 1900–2014: Evidence from Distributional National Accounts (DINA)," Journal of Public Economics, Elsevier, vol. 162(C), pages 63-77.
    2. Thomas Blanchet & Bertrand Garbinti & Jonathan Goupille-Lebret & Clara Martínez-Toledano, 2018. "Applying Generalized Pareto Curves to Inequality Analysis," AEA Papers and Proceedings, American Economic Association, vol. 108, pages 114-118, May.
    3. Annette Alstadsæter & Niels Johannesen & Gabriel Zucman, 2019. "Tax Evasion and Inequality," American Economic Review, American Economic Association, vol. 109(6), pages 2073-2103, June.
    4. Thomas Piketty & Li Yang & Gabriel Zucman, 2019. "Capital Accumulation, Private Property, and Rising Inequality in China, 1978–2015," American Economic Review, American Economic Association, vol. 109(7), pages 2469-2496, July.
    5. Pawel Bukowski & Filip Novokmet, 2018. "Inequality in Poland: Estimating the whole distribution by g-percentile 1983-2015," LIS Working papers 731, LIS Cross-National Data Center in Luxembourg.
    6. Facundo Alvaredo & Lydia Assouad & Thomas Piketty, 2019. "Measuring lnequality in the Middle East 1990–2016: The World’s Most Unequal Region?," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 65(4), pages 685-711, December.
    7. Thomas Piketty & Li Yang & Gabriel Zucman, 2019. "Capital Accumulation, Private Property, and Rising Inequality in China, 1978–2015," American Economic Review, American Economic Association, vol. 109(7), pages 2469-2496, July.
    8. Nora Lustig, 2018. "Measuring the Distribution of Household Income, Consumption and Wealth: State of Play and Measurement Challenges," Working Papers 1801, Tulane University, Department of Economics.
    9. Pawel Bukowski & Filip Novokmet, 2019. "Between Communism and Capitalism: Long-Term Inequality in Poland, 1892- 2015," World Inequality Lab Working Papers hal-02876995, HAL.
    10. Facundo Alvaredo & Lucas Chancel & Thomas Piketty & Emmanuel Saez & Gabriel Zucman, 2017. "Global Inequality Dynamics: New Findings from WID.world," American Economic Review, American Economic Association, vol. 107(5), pages 404-409, May.
    11. 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.
    12. 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.
    13. Khalid, Muhammed Abdul & Yang, Li, 2021. "Income inequality and ethnic cleavages in Malaysia: Evidence from distributional national accounts (1984–2014)," Journal of Asian Economics, Elsevier, vol. 72(C).
    14. Thomas Blanchet & Lucas Chancel & Amory Gethin, 2019. "How Unequal is Europe? Evidence from Distributional National Accounts, 1980-2017," World Inequality Lab Working Papers hal-02877000, HAL.
    15. Bertrand Garbinti & Jonathan Goupille-Lebret & Thomas Piketty, 2016. "Accounting for Wealth Inequality Dynamics: Methods, Estimates and Simulations for France (1800-2014)," World Inequality Lab Working Papers halshs-02794339, HAL.
    16. Bertrand Garbinti & Jonathan Goupille-Lebret & Thomas Piketty, 2017. "Income Inequality in France, 1900-2014: Evidence from Distributional National Accounts," Working Papers 201704, World Inequality Lab.
    17. Thomas Blanchet & Ignacio Flores & Marc Morgan, 2018. "The Weight of the Rich: Improving Surveys Using Tax Data," Working Papers hal-02878315, HAL.
    18. Aaberge, Rolf & Atkinson, Anthony B. & Modalsli, Jørgen, 2020. "Estimating long-run income inequality from mixed tabular data: Empirical evidence from Norway, 1875–2017," Journal of Public Economics, Elsevier, vol. 187(C).
    19. Advani, Arun & Summers, Andy & Tarrant, Hannah, 2020. "Measuring UK top incomes," CAGE Online Working Paper Series 490, Competitive Advantage in the Global Economy (CAGE).
    20. , Stone Center & Berman, Yonatan, 2020. "The Long Run Evolution of Absolute Intergenerational Mobility," SocArXiv rd7xf, Center for Open Science.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:cpr:ceprdp:12404. 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: https://www.cepr.org .

    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: (email available below). General contact details of provider: https://www.cepr.org .

    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.