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The exponential Pareto model with hidden income processes: Evidence from Chile

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  • Díaz, Juan D.
  • Gutiérrez Cubillos, Pablo
  • Tapia Griñen, Pablo

Abstract

Building on the two-class income model (Banerjee and Yakovenko, 2010), this paper proposes a new methodology to estimate the income distribution that accounts for hidden sources of income, such as retained earnings. We promote and illustrate this methodology with a case study of the Chilean economy. Our results reveal that after including the hidden sources of income, economic inequality in Chile has remained relatively constant over the last 15 years.

Suggested Citation

  • Díaz, Juan D. & Gutiérrez Cubillos, Pablo & Tapia Griñen, Pablo, 2021. "The exponential Pareto model with hidden income processes: Evidence from Chile," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    • Handle: RePEc:eee:phsmap:v:561:y:2021:i:c:s0378437120306245
    DOI: 10.1016/j.physa.2020.125196
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    References listed on IDEAS

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    1. Richard Burkhauser & Shuaizhang Feng & Stephen Jenkins & Jeff Larrimore, 2011. "Estimating trends in US income inequality using the Current Population Survey: the importance of controlling for censoring," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(3), pages 393-415, September.
    2. A. B. Atkinson, 2017. "Pareto and the Upper Tail of the Income Distribution in the UK: 1799 to the Present," Economica, London School of Economics and Political Science, vol. 84(334), pages 129-156, April.
    3. Tasha Fairfield & Michel Jorratt De Luis, 2016. "Top Income Shares, Business Profits, and Effective Tax Rates in Contemporary Chile," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 62(S1), pages 120-144, August.
    4. Banerjee, Anand & Yakovenko, Victor M. & Di Matteo, T., 2006. "A study of the personal income distribution in Australia," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(1), pages 54-59.
    5. Gutiérrez C., Pablo & López, Ramón E. & Figueroa B., Eugenio, 2015. "Top income measurement and undistributed profits," Economics Letters, Elsevier, vol. 134(C), pages 138-140.
    6. 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.
    7. Thomas Piketty & Emmanuel Saez & Gabriel Zucman, 2018. "Distributional National Accounts: Methods and Estimates for the United States," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 133(2), pages 553-609.
    8. Emmanuel Saez & Gabriel Zucman, 2016. "Editor's Choice Wealth Inequality in the United States since 1913: Evidence from Capitalized Income Tax Data," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(2), pages 519-578.
    9. Yong Tao & Xiangjun Wu & Tao Zhou & Weibo Yan & Yanyuxiang Huang & Han Yu & Benedict Mondal & Victor M. Yakovenko, 2019. "Exponential structure of income inequality: evidence from 67 countries," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 14(2), pages 345-376, June.
    10. Drăgulescu, Adrian & Yakovenko, Victor M., 2001. "Exponential and power-law probability distributions of wealth and income in the United Kingdom and the United States," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(1), pages 213-221.
    11. Stephen P. Jenkins, 2017. "Pareto Models, Top Incomes and Recent Trends in UK Income Inequality," Economica, London School of Economics and Political Science, vol. 84(334), pages 261-289, April.
    12. Ramón E. López & Eugenio Figueroa B. & Pablo Gutiérrez C., 2016. "Fundamental accrued capital gains and the measurement of top incomes: an application to Chile," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 14(4), pages 379-394, December.
    13. Lidia Ceriani & Paolo Verme, 2012. "The origins of the Gini index: extracts from Variabilità e Mutabilità (1912) by Corrado Gini," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 10(3), pages 421-443, September.
    14. Richard V. Burkhauser & Shuaizhang Feng & Stephen P. Jenkins & Jeff Larrimore, 2012. "Recent Trends in Top Income Shares in the United States: Reconciling Estimates from March CPS and IRS Tax Return Data," The Review of Economics and Statistics, MIT Press, vol. 94(2), pages 371-388, May.
    15. Branko Milanovic & Tasha Fairfield & Michel Jorratt De Luis, 2016. "Top Income Shares, Business Profits, and Effective Tax Rates in Contemporary Chile," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 62, pages 120-144, August.
    16. Maciej Jagielski & Ryszard Kutner, 2013. "Modeling of income distribution in the European Union with the Fokker-Planck equation," Papers 1301.2076, arXiv.org.
    17. Michael Wolfson & Mike Veall & Neil Brooks & Brian Murphy, 2016. "Piercing the Veil: Private Corporations and the Income of the Affluent," Canadian Tax Journal, Canadian Tax Foundation, vol. 64(1), pages 1-30.
    18. Safari, Muhammad Aslam Mohd & Masseran, Nurulkamal & Ibrahim, Kamarulzaman & Hussain, Saiful Izzuan, 2019. "A robust and efficient estimator for the tail index of inverse Pareto distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 431-439.
    19. Soriano-Hernández, P. & del Castillo-Mussot, M. & Córdoba-Rodríguez, O. & Mansilla-Corona, R., 2017. "Non-stationary individual and household income of poor, rich and middle classes in Mexico," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 403-413.
    20. Tomaschitz, Roman, 2020. "Multiply broken power-law densities as survival functions: An alternative to Pareto and lognormal fits," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    21. Jagielski, Maciej & Kutner, Ryszard, 2013. "Modelling of income distribution in the European Union with the Fokker–Planck equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2130-2138.
    22. Matthew Smith & Danny Yagan & Owen Zidar & Eric Zwick, 2019. "Capitalists in the Twenty-First Century," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 134(4), pages 1675-1745.
    23. Anand Banerjee & Victor M. Yakovenko, 2009. "Universal patterns of inequality," Papers 0912.4898, arXiv.org, revised Apr 2010.
    24. Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
    25. A. Drăgulescu & V.M. Yakovenko, 2001. "Evidence for the exponential distribution of income in the USA," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 20(4), pages 585-589, April.
    26. Victor M. Yakovenko & J. Barkley Rosser, 2009. "Colloquium: Statistical mechanics of money, wealth, and income," Papers 0905.1518, arXiv.org, revised Dec 2009.
    27. Siciliani, Igor D.S. & Tragtenberg, M.H.R., 2019. "Kinetic theory and Brazilian income distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 166-174.
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    2. Osvaldo Larrañaga & Benjamín Echecopar & Nicolás Grau, 2022. "Una nueva estimación de la desigualdad de ingresos en Chile," Estudios Públicos, Centro de Estudios Públicos, vol. 0(167), pages 45-76.

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