IDEAS home Printed from https://ideas.repec.org/p/kan/wpaper/202604.html

Estimating Dynamic Intergenerational Mobility Via A Mixed Copula Method

Author

Listed:
  • Zongwu Cai

    (Department of Economics, The University of Kansas, Lawrence, KS 66045, USA)

  • Guannan Liu

    (School of Economics and WISE, Xiamen University, Xiamen, Fujian 361005, China)

  • Wei Long

    (Department of Economics, Tulane University, New Orleans, LA 70118, USA)

  • Xuelong Luo

    (School of Finance, Fujian Business University, Fuzhou, Fujian 350016, China)

Abstract

Based on longitudinal PSID data, this article examines the trajectory of intergenerational mobility in the United States over the past three decades by employing a time-varying mixed copula model as outlined by Yang et al. (2022). Our findings reveal a gradual decline in intergenerational mobility, particularly in terms of permanent incomes, between parents and children over time. This heightened income inequality persists across various racial and regional demographics, although subgroup analyses unveil some heterogeneous patterns in the paths of intergenerational mobility.

Suggested Citation

  • Zongwu Cai & Guannan Liu & Wei Long & Xuelong Luo, 2025. "Estimating Dynamic Intergenerational Mobility Via A Mixed Copula Method," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 202604, University of Kansas, Department of Economics, revised Jan 2026.
  • Handle: RePEc:kan:wpaper:202604
    as

    Download full text from publisher

    File URL: https://kuwpaper.ku.edu/2026Papers/202604.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Zhang, Shulin & Okhrin, Ostap & Zhou, Qian M. & Song, Peter X.-K., 2016. "Goodness-of-fit test for specification of semiparametric copula dependence models," Journal of Econometrics, Elsevier, vol. 193(1), pages 215-233.
    2. Genest, Christian & Rémillard, Bruno & Beaudoin, David, 2009. "Goodness-of-fit tests for copulas: A review and a power study," Insurance: Mathematics and Economics, Elsevier, vol. 44(2), pages 199-213, April.
    3. Esfandiar Maasoumi & Le Wang, 2019. "The Gender Gap between Earnings Distributions," Journal of Political Economy, University of Chicago Press, vol. 127(5), pages 2438-2504.
    4. Andros Kourtellos & Chih Ming Tan & Steven N. Durlauf, 2022. "The Great Gatsby Curve," Annual Review of Economics, Annual Reviews, vol. 14(1), pages 571-605, August.
    5. Zongwu Cai & Xian Wang, 2014. "Selection of Mixed Copula Model via Penalized Likelihood," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 109(506), pages 788-801, June.
    6. Oliver Linton & Esfandiar Maasoumi & Yoon-Jae Whang, 2005. "Consistent Testing for Stochastic Dominance under General Sampling Schemes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(3), pages 735-765.
    7. Bhashkar Mazumder, 2018. "Intergenerational Mobility in the United States: What We Have Learned from the PSID," The ANNALS of the American Academy of Political and Social Science, , vol. 680(1), pages 213-234, November.
    8. Bruce E. Hansen, 2001. "The New Econometrics of Structural Change: Dating Breaks in U.S. Labour Productivity," Journal of Economic Perspectives, American Economic Association, vol. 15(4), pages 117-128, Fall.
    9. Garry F. Barrett & Stephen G. Donald, 2003. "Consistent Tests for Stochastic Dominance," Econometrica, Econometric Society, vol. 71(1), pages 71-104, January.
    10. Guannan Liu & Wei Long & Bingduo Yang & Zongwu Cai, 2022. "Semiparametric estimation and model selection for conditional mixture copula models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 49(1), pages 287-330, March.
    11. G. Hanoch & H. Levy, 1969. "The Efficiency Analysis of Choices Involving Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(3), pages 335-346.
    12. Yonghong An & Le Wang & Ruli Xiao, 2022. "A Nonparametric Nonclassical Measurement Error Approach to Estimating Intergenerational Mobility Elasticities," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 40(1), pages 169-185, January.
    13. Gary Solon, 2018. "What Do We Know So Far about Multigenerational Mobility?," Economic Journal, Royal Economic Society, vol. 128(612), pages 340-352, July.
    14. Samuel Bowles & Herbert Gintis, 2002. "The Inheritance of Inequality," Journal of Economic Perspectives, American Economic Association, vol. 16(3), pages 3-30, Summer.
    15. Bhashkar Mazumder, 2016. "Estimating the Intergenerational Elasticity and Rank Association in the United States: Overcoming the Current Limitations of Tax Data☆," Research in Labor Economics, in: Inequality: Causes and Consequences, volume 43, pages 83-129, Emerald Group Publishing Limited.
    16. Ling Hu, 2006. "Dependence patterns across financial markets: a mixed copula approach," Applied Financial Economics, Taylor & Francis Journals, vol. 16(10), pages 717-729.
    17. Wertz, Kenneth L, 1979. "The Measurement of Inequality: Comment," American Economic Review, American Economic Association, vol. 69(4), pages 670-672, September.
    18. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    19. Bingduo Yang & Zongwu Cai & Christian M. Hafner & Guannan Liu, 2019. "Time-Varying Mixture Copula Models with Copula Selection," Working Papers 2019-07-05, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
    20. Yonatan Berman, 2022. "The Long-Run Evolution of Absolute Intergenerational Mobility," American Economic Journal: Applied Economics, American Economic Association, vol. 14(3), pages 61-83, July.
    21. Steven N. Durlauf & Ananth Seshadri, 2018. "Understanding the Great Gatsby Curve," NBER Macroeconomics Annual, University of Chicago Press, vol. 32(1), pages 333-393.
    22. Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
    23. Scaillet, Olivier, 2007. "Kernel-based goodness-of-fit tests for copulas with fixed smoothing parameters," Journal of Multivariate Analysis, Elsevier, vol. 98(3), pages 533-543, March.
    24. J. Fan & J.‐T. Zhang, 2000. "Two‐step estimation of functional linear models with applications to longitudinal data," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 62(2), pages 303-322.
    25. Kole, Erik & Koedijk, Kees & Verbeek, Marno, 2007. "Selecting copulas for risk management," Journal of Banking & Finance, Elsevier, vol. 31(8), pages 2405-2423, August.
    26. Yanqin Fan & Andrew J. Patton, 2014. "Copulas in Econometrics," Annual Review of Economics, Annual Reviews, vol. 6(1), pages 179-200, August.
    27. repec:eme:rlec11:s0147-912120160000043012 is not listed on IDEAS
    28. ., 2017. "Building an economics department," Chapters, in: The Value of Applied Economics, chapter 4, pages 64-84, Edward Elgar Publishing.
    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. Hooi Hooi Lean & Michael McAleer & Wing-Keung Wong, 2013. "Risk-averse and Risk-seeking Investor Preferences for Oil Spot and Futures," Documentos de Trabajo del ICAE 2013-31, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico, revised Aug 2013.
    2. Zongwu Cai & Guannan Liu & Wei Long & Xuelong Luo, 2024. "Semiparametric Conditional Mixture Copula Models with Copula Selection," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 202401, University of Kansas, Department of Economics, revised Jan 2024.
    3. Lean, Hooi Hooi & McAleer, Michael & Wong, Wing-Keung, 2015. "Preferences of risk-averse and risk-seeking investors for oil spot and futures before, during and after the Global Financial Crisis," International Review of Economics & Finance, Elsevier, vol. 40(C), pages 204-216.
    4. Tsang, Chun-Kei & Wong, Wing-Keung & Horowitz, Ira, 2016. "A stochastic-dominance approach to determining the optimal home-size purchase: The case of Hong Kong," MPRA Paper 69175, University Library of Munich, Germany.
    5. Guo, Xu & Wong, Wing-Keung & Zhu, Lixing, 2013. "Make Almost Stochastic Dominance really Almost," MPRA Paper 49745, University Library of Munich, Germany.
    6. Lean, Hooi Hooi & McAleer, Michael & Wong, Wing-Keung, 2010. "Market efficiency of oil spot and futures: A mean-variance and stochastic dominance approach," Energy Economics, Elsevier, vol. 32(5), pages 979-986, September.
    7. Hooi Hooi Lean & Michael McAleer & Wing-Keung Wong, 2010. "Market Efficiency of Oil Spot and Futures: A Stochastic Dominance Approach," CIRJE F-Series CIRJE-F-705, CIRJE, Faculty of Economics, University of Tokyo.
    8. Lean, H.H. & McAleer, M.J. & Wong, W.-K., 2010. "Investor preferences for oil spot and futures based on mean-variance and stochastic dominance," Econometric Institute Research Papers EI 2010-37, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    9. Wang, Ming-Hui & Ke, Mei-Chu & Liang Liao, Tung & Chiang, Yi-Chein & Hsu, Chuan-Hao, 2020. "Alternative estimation method of earnings growth rate for PEGR strategy," The North American Journal of Economics and Finance, Elsevier, vol. 53(C).
    10. Zhihui Lv & Amanda M. Y. Chu & Wing Keung Wong & Thomas C. Chiang, 2021. "The maximum-return-and-minimum-volatility effect: evidence from choosing risky and riskless assets to form a portfolio," Risk Management, Palgrave Macmillan, vol. 23(1), pages 97-122, June.
    11. Russell Davidson & Jean-Yves Duclos, 2013. "Testing for Restricted Stochastic Dominance," Econometric Reviews, Taylor & Francis Journals, vol. 32(1), pages 84-125, January.
    12. Levy, Haim & Levy, Moshe, 2021. "Stocks versus bonds for the long run when a riskless asset is available," Journal of Banking & Finance, Elsevier, vol. 133(C).
    13. Post, Thierry & Karabatı, Selçuk & Arvanitis, Stelios, 2018. "Portfolio optimization based on stochastic dominance and empirical likelihood," Journal of Econometrics, Elsevier, vol. 206(1), pages 167-186.
    14. Rolf Aaberge & Tarjei Havnes & Magne Mogstad, 2013. "A theory for ranking distribution functions," Discussion Papers 763, Statistics Norway, Research Department.
    15. Post, Thierry & Kopa, Miloš, 2013. "General linear formulations of stochastic dominance criteria," European Journal of Operational Research, Elsevier, vol. 230(2), pages 321-332.
    16. Al-Khazali, Osamah & Lean, Hooi Hooi & Samet, Anis, 2014. "Do Islamic stock indexes outperform conventional stock indexes? A stochastic dominance approach," Pacific-Basin Finance Journal, Elsevier, vol. 28(C), pages 29-46.
    17. Zongwu Cai & Xian Wang, 2014. "Selection of Mixed Copula Model via Penalized Likelihood," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 109(506), pages 788-801, June.
    18. Christodoulakis, George & Mohamed, Abdulkadir & Topaloglou, Nikolas, 2018. "Optimal privatization portfolios in the presence of arbitrary risk aversion," European Journal of Operational Research, Elsevier, vol. 265(3), pages 1172-1191.
    19. Chun-Kei Tsang & Wing-Keung Wong & Ira Horowitz, 2016. "Arbitrage opportunities, efficiency, and the role of risk preferences in the Hong Kong property market," Studies in Economics and Finance, Emerald Group Publishing Limited, vol. 33(4), pages 735-754, October.
    20. Post, Thierry & Karabatı, Selçuk & Arvanitis, Stelios, 2019. "Robust optimization of forecast combinations," International Journal of Forecasting, Elsevier, vol. 35(3), pages 910-926.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • J62 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Job, Occupational and Intergenerational Mobility; Promotion
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

    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:kan:wpaper:202604. 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: Professor Zongwu Cai (email available below). General contact details of provider: https://edirc.repec.org/data/deuksus.html .

    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.