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Bayesian Estimation of Panel Models under Potentially Sparse Heterogeneity

Author

Listed:
  • Hyungsik Roger Moon

    (Univ. of Southern California)

  • Frank Schorfheide

    (University of Pennsylvania)

  • Boyuan Zhang

    (Amazon.com)

Abstract

We incorporate a version of a spike and slab prior, comprising a point mass at zero ("spike") and a Normal distribution around zero ("slab") into a dynamic panel data framework to model coefficient heterogeneity. In addition to homogeneity and full heterogeneity, our specification can also capture sparse heterogeneity, that is, there is a core group of units that share common parameters and a set of deviators with idiosyncratic parameters. We fit a model with unobserved components to income data from the Panel Study of Income Dynamics. We find evidence for sparse heterogeneity for balanced panels composed of individuals with long employment histories.

Suggested Citation

  • Hyungsik Roger Moon & Frank Schorfheide & Boyuan Zhang, 2023. "Bayesian Estimation of Panel Models under Potentially Sparse Heterogeneity," PIER Working Paper Archive 23-017, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    • Handle: RePEc:pen:papers:23-017
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    References listed on IDEAS

    as
    1. Domenico Giannone & Michele Lenza & Giorgio E. Primiceri, 2021. "Economic Predictions With Big Data: The Illusion of Sparsity," Econometrica, Econometric Society, vol. 89(5), pages 2409-2437, September.
    2. Stéphane Bonhomme & Elena Manresa, 2015. "Grouped Patterns of Heterogeneity in Panel Data," Econometrica, Econometric Society, vol. 83(3), pages 1147-1184, May.
    3. Haider, Steven J, 2001. "Earnings Instability and Earnings Inequality of Males in the United States: 1967-1991," Journal of Labor Economics, University of Chicago Press, vol. 19(4), pages 799-836, October.
    4. Florian Hoffmann, 2019. "HIP, RIP, and the robustness of empirical earnings processes," Quantitative Economics, Econometric Society, vol. 10(3), pages 1279-1315, July.
    5. Fatih Guvenen, 2007. "Learning Your Earning: Are Labor Income Shocks Really Very Persistent?," American Economic Review, American Economic Association, vol. 97(3), pages 687-712, June.
    6. Baker, Michael, 1997. "Growth-Rate Heterogeneity and the Covariance Structure of Life-Cycle Earnings," Journal of Labor Economics, University of Chicago Press, vol. 15(2), pages 338-375, April.
    7. Costas Meghir & Luigi Pistaferri, 2004. "Income Variance Dynamics and Heterogeneity," Econometrica, Econometric Society, vol. 72(1), pages 1-32, January.
    8. Taisuke Nakata & Christopher Tonetti, 2015. "Small sample properties of Bayesian estimators of labor income processes," Journal of Applied Economics, Universidad del CEMA, vol. 18, pages 121-148, May.
    9. L. Hospido, 2012. "Modelling heterogeneity and dynamics in the volatility of individual wages," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 27(3), pages 386-414, April.
    10. Boyuan Zhang, 2022. "Incorporating Prior Knowledge of Latent Group Structure in Panel Data Models," Papers 2211.16714, arXiv.org, revised Oct 2023.
    11. Abowd, John M & Card, David, 1989. "On the Covariance Structure of Earnings and Hours Changes," Econometrica, Econometric Society, vol. 57(2), pages 411-445, March.
    12. Dmytro Hryshko, 2012. "Labor income profiles are not heterogeneous: Evidence from income growth rates," Quantitative Economics, Econometric Society, vol. 3(2), pages 177-209, July.
    13. Laura Liu & Hyungsik Roger Moon & Frank Schorfheide, 2020. "Forecasting With Dynamic Panel Data Models," Econometrica, Econometric Society, vol. 88(1), pages 171-201, January.
    14. Lillard, Lee A & Weiss, Yoram, 1979. "Components of Variation in Panel Earnings Data: American Scientists, 1960-70," Econometrica, Econometric Society, vol. 47(2), pages 437-454, March.
    15. MaCurdy, Thomas E., 1982. "The use of time series processes to model the error structure of earnings in a longitudinal data analysis," Journal of Econometrics, Elsevier, vol. 18(1), pages 83-114, January.
    16. Laura Liu, 2023. "Density Forecasts in Panel Data Models: A Semiparametric Bayesian Perspective," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 41(2), pages 349-363, April.
    17. Martin Browning & Mette Ejrnæs, 2013. "Heterogeneity in the Dynamics of Labor Earnings," Annual Review of Economics, Annual Reviews, vol. 5(1), pages 219-245, May.
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    More about this item

    Keywords

    Bayesian Analysis; Forecasting; Income Dynamics; Panel Data Models; Sparsity; Spike-and-Slab Priors;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • E20 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - General (includes Measurement and Data)

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