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Pareto Models for Top Incomes

Author

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  • Arthur Charpentier

    (CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR - Université de Rennes - CNRS - Centre National de la Recherche Scientifique, DMS - Département de Mathématiques et de statistique [UdeM- Montréal] - UQAM - Université du Québec à Montréal = University of Québec in Montréal)

  • Emmanuel Flachaire

    (EUREQUA - Equipe Universitaire de Recherche en Economie Quantitative - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

Top incomes are often related to Pareto distribution. To date, economists have mostly used Pareto Type I distribution to model the upper tail of income and wealth distribution. It is a parametric distribution, with an attractive property, that can be easily linked to economic theory. In this paper, we first show that modelling top incomes with Pareto Type I distribution can lead to severe over-estimation of inequality, even with millions of observations. Then, we show that the Generalized Pareto distribution and, even more, the Extended Pareto distribution, are much less sensitive to the choice of the threshold. Thus, they provide more reliable results. We discuss different types of bias that could be encountered in empirical studies and, we provide some guidance for practice. To illustrate, two applications are investigated, on the distribution of income in South Africa in 2012 and on the distribution of wealth in the United States in 2013.

Suggested Citation

  • Arthur Charpentier & Emmanuel Flachaire, 2019. "Pareto Models for Top Incomes," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-02145024, HAL.
    • Handle: RePEc:hal:cesptp:hal-02145024
    Note: View the original document on HAL open archive server: https://hal.science/hal-02145024
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    References listed on IDEAS

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    Cited by:

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    2. Thomas Blanchet & Juliette Fournier & Thomas Piketty, 2022. "Generalized Pareto Curves: Theory and Applications," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 68(1), pages 263-288, March.
    3. Vladimir Hlasny, 2021. "Parametric representation of the top of income distributions: Options, historical evidence, and model selection," Journal of Economic Surveys, Wiley Blackwell, vol. 35(4), pages 1217-1256, September.
    4. Burdín, Gabriel & De Rosa, Mauricio & Vigorito, Andrea & Vilá, Joan, 2022. "Falling inequality and the growing capital income share: Reconciling divergent trends in survey and tax data," World Development, Elsevier, vol. 152(C).
    5. Arthur Charpentier & Emmanuel Flachaire, 2021. "Pareto Models for Risk Management," Dynamic Modeling and Econometrics in Economics and Finance, in: Gilles Dufrénot & Takashi Matsuki (ed.), Recent Econometric Techniques for Macroeconomic and Financial Data, pages 355-387, Springer.
    6. Vladimir Hlasny & Paolo Verme, 2022. "The Impact of Top Incomes Biases on the Measurement of Inequality in the United States," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 84(4), pages 749-788, August.
    7. Bricker, Jesse & Hansen, Peter & Volz, Alice Henriques, 2019. "Wealth concentration in the U.S. after augmenting the upper tail of the survey of consumer finances," Economics Letters, Elsevier, vol. 184(C).

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    Keywords

    Pareto distribution; top incomes; inequality measures;
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