IDEAS home Printed from https://ideas.repec.org/a/spr/metron/v82y2024i3d10.1007_s40300-024-00267-6.html
   My bibliography  Save this article

A statistical examination of wealth inequality within the Forbes 400 richest families in the United States from 2000 to 2023

Author

Listed:
  • Joseph L. Gastwirth

    (George Washington University)

  • Richard Luo

    (University of California at Berkeley)

  • Qing Pan

    (George Washington University)

Abstract

Between 1989 and 2019 the wealth of the Forbes 400 grew four times as fast as that of the median household and twice the rate of a family at the 95th percentile, demonstrating a substantial imbalance in the growth of financial assets between the super-rich and the general population. A natural question is: how similar are the results of analyzing wealth data, especially data pertaining to the very rich, using different measures of inequality? This paper compares the rates of growth of wealth inequality within the Forbes 400 using the Gini, Bonferroni, De Vergottini, Theil, Mean log deviation measures and a median-based version of the Gini index to explore inequality within the Forbes 400. While all indices decreased from 2000 until 2008 and increased subsequently, indices giving greater weight to the upper end increased more rapidly. Because the Forbes 400 possess substantial assets, their wealth responds faster to major events affecting the economy, e.g. the dot-com boom of 1999–2000, the 2008 recession and the recent pandemic. The inequality within the Forbes 400 and that of the general population were essentially uncorrelated during the period studied, implying that changes in the economic status of the “super-rich” and general population follow different patterns.

Suggested Citation

  • Joseph L. Gastwirth & Richard Luo & Qing Pan, 2024. "A statistical examination of wealth inequality within the Forbes 400 richest families in the United States from 2000 to 2023," METRON, Springer;Sapienza Università di Roma, vol. 82(3), pages 329-344, December.
  • Handle: RePEc:spr:metron:v:82:y:2024:i:3:d:10.1007_s40300-024-00267-6
    DOI: 10.1007/s40300-024-00267-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s40300-024-00267-6
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s40300-024-00267-6?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    References listed on IDEAS

    as
    1. Emmanuel Saez & Gabriel Zucman, 2020. "The Rise of Income and Wealth Inequality in America: Evidence from Distributional Macroeconomic Accounts," Journal of Economic Perspectives, American Economic Association, vol. 34(4), pages 3-26, Fall.
    2. Fernholz, Ricardo T. & Hagler, Kara, 2023. "Rising inequality and declining mobility in the Forbes 400," Economics Letters, Elsevier, vol. 230(C).
    3. Arthur Charpentier & Emmanuel Flachaire, 2022. "Pareto models for top incomes and wealth," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 20(1), pages 1-25, March.
    4. Peter J. Lambert & Andre' Decoster, 2005. "The Gini coefficient reveals more," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 373-400.
    5. Agostino Tarsitano, 2004. "A new class of inequality measures based on a ratio of L-statistics," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 137-160.
    6. Giovanni Maria Giorgi & Michele Crescenzi, 2001. "A proposal of poverty measures based on the Bonferroni inequality index," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3-4), pages 3-16.
    7. Gastwirth, Joseph L, 1972. "The Estimation of the Lorenz Curve and Gini Index," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 306-316, August.
    8. Gastwirth, Joseph L, 1971. "A General Definition of the Lorenz Curve," Econometrica, Econometric Society, vol. 39(6), pages 1037-1039, November.
    9. Kristin Blesch & Oliver P. Hauser & Jon M. Jachimowicz, 2022. "Measuring inequality beyond the Gini coefficient may clarify conflicting findings," Nature Human Behaviour, Nature, vol. 6(11), pages 1525-1536, November.
    10. Frank A Cowell & Emmanuel Flachaire, 2018. "Inequality Measurement and the Rich: Why inequality increased more than we thought," STICERD - Public Economics Programme Discussion Papers 36, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    11. Philip Vermeulen, 2018. "How Fat is the Top Tail of the Wealth Distribution?," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 64(2), pages 357-387, June.
    12. Giovanni Maria Giorgi & Saralees Nadarajah, 2010. "Bonferroni and Gini indices for various parametric families of distributions," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 23-46.
    13. G. M. Giorgi & M. Crescenzi, 2001. "Bayesian estimation of the Bonferroni index from a Pareto-type I population," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 10(1), pages 41-48, January.
    14. Gabaix, Xavier & Ibragimov, Rustam, 2011. "Rank − 1 / 2: A Simple Way to Improve the OLS Estimation of Tail Exponents," Journal of Business & Economic Statistics, American Statistical Association, vol. 29(1), pages 24-39.
    15. Charles M. Beach & Russell Davidson, 1983. "Distribution-Free Statistical Inference with Lorenz Curves and Income Shares," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(4), pages 723-735.
    16. Liang Frank Shao & Melanie Krause, 2020. "Rising mean incomes for whom?," PLOS ONE, Public Library of Science, vol. 15(12), pages 1-20, December.
    17. Xavier Gabaix & Rustam Ibragimov, 2011. "Rank - 1 / 2: A Simple Way to Improve the OLS Estimation of Tail Exponents," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(1), pages 24-39, January.
    18. 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.
    19. Sarabia, José María & Prieto, Faustino, 2009. "The Pareto-positive stable distribution: A new descriptive model for city size data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4179-4191.
    20. Fuyuo Nagayama, 2013. "Wealth inequality among the Forbes 400 and U.S. households overall," Research Rap Special Report, Federal Reserve Bank of Philadelphia, issue Jul.
    21. Mehran, Farhad, 1976. "Linear Measures of Income Inequality," Econometrica, Econometric Society, vol. 44(4), pages 805-809, July.
    22. Matthieu Gomez, 2023. "Decomposing the Growth of Top Wealth Shares," Econometrica, Econometric Society, vol. 91(3), pages 979-1024, May.
    23. Guillermina Jasso, 2021. "New results linking inequality and justice," The Journal of Mathematical Sociology, Taylor & Francis Journals, vol. 45(1), pages 1-21, January.
    24. Chan, Stephen & Chu, Jeffrey & Nadarajah, Saralees, 2017. "Is the wealth of the Forbes 400 lists really Pareto distributed?," Economics Letters, Elsevier, vol. 152(C), pages 9-14.
    25. Joseph L. Gastwirth & Qing Shi, 2022. "Comparing the Secular Increasing Trend and Effect of the Response to the 2008 Financial Recession on Wealth Inequality in the U.S. with Other Nations Using the Median-based Gini Index," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 20(1), pages 261-276, September.
    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. Mariateresa Ciommi & Chiara Gigliarano & Giovanni Maria Giorgi, 2019. "Bonferroni And De Vergottini Are Back: New Subgroup Decompositions And Bipolarization Measures," Working Papers 439, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    2. Alexis Akira Toda & Yulong Wang, 2021. "Efficient minimum distance estimation of Pareto exponent from top income shares," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 36(2), pages 228-243, March.
    3. Yang Wei & Zhouping Li & Yunqiu Dai, 2022. "Unified smoothed jackknife empirical likelihood tests for comparing income inequality indices," Statistical Papers, Springer, vol. 63(5), pages 1415-1475, October.
    4. Elena Bárcena-Martin & Jacques Silber, 2017. "The Bonferroni index and the measurement of distributional change," METRON, Springer;Sapienza Università di Roma, vol. 75(1), pages 1-16, April.
    5. Joseph L. Gastwirth & Qing Shi, 2022. "Comparing the Secular Increasing Trend and Effect of the Response to the 2008 Financial Recession on Wealth Inequality in the U.S. with Other Nations Using the Median-based Gini Index," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 20(1), pages 261-276, September.
    6. Igor Fedotenkov, 2020. "A Review of More than One Hundred Pareto-Tail Index Estimators," Statistica, Department of Statistics, University of Bologna, vol. 80(3), pages 245-299.
    7. Ziqing Dong & Yves Tillé & Giovanni M. Giorgi & Alessio Guandalini, 2021. "Linearization and variance estimation of the Bonferroni inequality index," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 184(3), pages 1008-1029, July.
    8. Sen, Hu & Chunxia, Yang & Xueshuai, Zhu & Zhilai, Zheng & Ya, Cao, 2015. "Distributions of region size and GDP and their relation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 430(C), pages 46-56.
    9. Walter Piesch, 2005. "A look at the structure of some extended Ginis," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 263-296.
    10. Giorgio Di Maio, 2022. "The barycenter of the distribution and its application to the measurement of inequality: The Balance of Inequality, the Gini index, and the Lorenz curve," Working Papers 493, University of Milano-Bicocca, Department of Economics, revised Mar 2022.
    11. Wildauer, Rafael & Kapeller, Jakob, 2019. "A Comment on Fitting Pareto Tails to Complex Survey Data," Greenwich Papers in Political Economy 26009, University of Greenwich, Greenwich Political Economy Research Centre.
    12. Sofie R. Waltl & Robin Chakraborty, 2022. "Missing the wealthy in the HFCS: micro problems with macro implications," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 20(1), pages 169-203, March.
    13. Michał Brzeziński & Katarzyna Sałach & Marcin Wroński, 2020. "Wealth inequality in Central and Eastern Europe: Evidence from household survey and rich lists’ data combined," Economics of Transition and Institutional Change, John Wiley & Sons, vol. 28(4), pages 637-660, October.
    14. Francesca Greselin & Ričardas Zitikis, 2018. "From the Classical Gini Index of Income Inequality to a New Zenga-Type Relative Measure of Risk: A Modeller’s Perspective," Econometrics, MDPI, vol. 6(1), pages 1-20, January.
    15. Zhang, Xiaoke & Gastwirth, Joseph L., 2019. "Large sample properties of a new measure of income inequality," Statistics & Probability Letters, Elsevier, vol. 145(C), pages 50-56.
    16. Satya R. Chakravarty & Palash Sarkar, 2023. "New perspectives on the Gini and Bonferroni indices of inequality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 47-64, January.
    17. Ines Heck & Anna Hornykewycz & Jakob Kapeller & Rafael Wildauer, 2024. "Vermögensverteilung in Österreich: eine Analyse auf Basis des HFCS 2021/22," Working Paper Reihe der AK Wien - Materialien zu Wirtschaft und Gesellschaft 255, Kammer für Arbeiter und Angestellte für Wien, Abteilung Wirtschaftswissenschaft und Statistik.
    18. Greselin, Francesca & Zitikis, Ricardas, 2015. "Measuring economic inequality and risk: a unifying approach based on personal gambles, societal preferences and references," MPRA Paper 65892, University Library of Munich, Germany.
    19. Shlomo Yitzhaki, 2003. "Gini’s Mean difference: a superior measure of variability for non-normal distributions," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 285-316.
    20. Fernholz, Ricardo T. & Hagler, Kara, 2023. "Rising inequality and declining mobility in the Forbes 400," Economics Letters, Elsevier, vol. 230(C).

    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:spr:metron:v:82:y:2024:i:3:d:10.1007_s40300-024-00267-6. See general information about how to correct material in RePEc.

    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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.