IDEAS home Printed from https://ideas.repec.org/p/ucr/wpaper/202212.html
   My bibliography  Save this paper

Model Averaging Estimation of Panel Data Models with Many Instruments and Boosting

Author

Listed:
  • Hao Hao

    (Ford Motor Company)

  • Bai Huang

    (Central University of Finance and Economics)

  • Tae-Hwy Lee

    (Department of Economics, University of California Riverside)

Abstract

Applied researchers often confront two issues when using the fixed effect-two-stage least squares (FE-2SLS) estimator for panel data models. One is that it may lose its consistency due to too many instruments. The other is that the gain of using FE-2SLS may not exceed its loss when the endogeneity is weak. In this paper, an L2Boosting regularization procedure for panel data models is proposed to tackle the many instruments issue. We then construct a Stein-like model-averaging estimator to take advantage of FE and FE-2SLS-Boosting estimators. Finite sample properties are examined in Monte Carlo and an empirical application is presented.

Suggested Citation

  • Hao Hao & Bai Huang & Tae-Hwy Lee, 2022. "Model Averaging Estimation of Panel Data Models with Many Instruments and Boosting," Working Papers 202212, University of California at Riverside, Department of Economics.
  • Handle: RePEc:ucr:wpaper:202212
    as

    Download full text from publisher

    File URL: https://economics.ucr.edu/repec/ucr/wpaper/202212.pdf
    File Function: First version, 2022
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Magne Mogstad & Alexander Torgovitsky & Christopher R. Walters, 2021. "The Causal Interpretation of Two-Stage Least Squares with Multiple Instrumental Variables," American Economic Review, American Economic Association, vol. 111(11), pages 3663-3698, November.
    2. Holly, Sean & Pesaran, M. Hashem & Yamagata, Takashi, 2010. "A spatio-temporal model of house prices in the USA," Journal of Econometrics, Elsevier, vol. 158(1), pages 160-173, September.
    3. Hausman, Jerry A & Taylor, William E, 1981. "Panel Data and Unobservable Individual Effects," Econometrica, Econometric Society, vol. 49(6), pages 1377-1398, November.
    4. Ng Serena & Bai Jushan, 2009. "Selecting Instrumental Variables in a Data Rich Environment," Journal of Time Series Econometrics, De Gruyter, vol. 1(1), pages 1-34, April.
    5. Hausman, Jerry, 2015. "Specification tests in econometrics," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 38(2), pages 112-134.
    6. Hansen, Bruce E., 2016. "Efficient shrinkage in parametric models," Journal of Econometrics, Elsevier, vol. 190(1), pages 115-132.
    7. Caner, Mehmet, 2009. "Lasso-Type Gmm Estimator," Econometric Theory, Cambridge University Press, vol. 25(1), pages 270-290, February.
    8. Bruce E. Hansen, 2017. "Stein-like 2SLS estimator," Econometric Reviews, Taylor & Francis Journals, vol. 36(6-9), pages 840-852, October.
    9. Cheng, Xu & Liao, Zhipeng, 2015. "Select the valid and relevant moments: An information-based LASSO for GMM with many moments," Journal of Econometrics, Elsevier, vol. 186(2), pages 443-464.
    10. Bekker, Paul A, 1994. "Alternative Approximations to the Distributions of Instrumental Variable Estimators," Econometrica, Econometric Society, vol. 62(3), pages 657-681, May.
    11. Donald, Stephen G. & Imbens, Guido W. & Newey, Whitney K., 2009. "Choosing instrumental variables in conditional moment restriction models," Journal of Econometrics, Elsevier, vol. 152(1), pages 28-36, September.
    12. A. Belloni & D. Chen & V. Chernozhukov & C. Hansen, 2012. "Sparse Models and Methods for Optimal Instruments With an Application to Eminent Domain," Econometrica, Econometric Society, vol. 80(6), pages 2369-2429, November.
    13. Badi H. Baltagi & Jing Li, 2014. "Further Evidence On The Spatio‐Temporal Model Of House Prices In The United States," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 29(3), pages 515-522, April.
    14. Jushan Bai, 2009. "Panel Data Models With Interactive Fixed Effects," Econometrica, Econometric Society, vol. 77(4), pages 1229-1279, July.
    15. Sawa, Takamitsu, 1972. "Finite-Sample Properties of the k-Class Estimators," Econometrica, Econometric Society, vol. 40(4), pages 653-680, July.
    16. Breusch, Trevor S & Mizon, Grayham E & Schmidt, Peter, 1989. "Efficient Estimation Using Panel Data," Econometrica, Econometric Society, vol. 57(3), pages 695-700, May.
    17. Kinal, Terrence W, 1980. "The Existence of Moments of k-Class Estimators," Econometrica, Econometric Society, vol. 48(1), pages 241-249, January.
    18. Amemiya, Takeshi & MaCurdy, Thomas E, 1986. "Instrumental-Variable Estimation of an Error-Components Model," Econometrica, Econometric Society, vol. 54(4), pages 869-880, July.
    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. Bai Huang & Tae-Hwy Lee & Aman Ullah, 2017. "A combined estimator of regression models with measurement errors," Indian Economic Review, Springer, vol. 52(1), pages 73-91, December.
    2. Baltagi, Badi H., 2023. "The two-way Hausman and Taylor estimator," Economics Letters, Elsevier, vol. 228(C).
    3. Metcalf, Gilbert E., 1996. "Specification testing in panel data with instrumental variables," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 291-307.
    4. Ahn, Seung C. & Lee, Young H. & Schmidt, Peter, 2013. "Panel data models with multiple time-varying individual effects," Journal of Econometrics, Elsevier, vol. 174(1), pages 1-14.
    5. Tomohiro Ando & Naoya Sueishi, 2019. "On the Convergence Rate of the SCAD-Penalized Empirical Likelihood Estimator," Econometrics, MDPI, vol. 7(1), pages 1-14, March.
    6. Kraft Kornelius & Ugarkovič Marija, 2006. "Gesetzliche Mitbestimmung und Kapitalrendite Co-Determination and Return on Equity / Co-Determination and Return on Equity," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 226(5), pages 588-604, October.
    7. Xu Cheng & Zhipeng Liao, 2012. "Select the Valid and Relevant Moments: A One-Step Procedure for GMM with Many Moments," PIER Working Paper Archive 12-045, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    8. Ahn, Seung C. & Low, Stuart, 1996. "A reformulation of the Hausman test for regression models with pooled cross-section-time-series data," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 309-319.
    9. Jalal El Ouardighi, 2005. "La spécialisation des activités technologiques des régions européennes : une approche empirique de la convergence," Discussion Papers (REL - Recherches Economiques de Louvain) 2005033, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    10. Derek Hum & Wayne Simpson, 2002. "Analysis of the Performance of Immigrant Wages Using Panel Data," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 C2-1, International Conferences on Panel Data.
    11. Guo, Zijian & Kang, Hyunseung & Cai, T. Tony & Small, Dylan S., 2018. "Testing endogeneity with high dimensional covariates," Journal of Econometrics, Elsevier, vol. 207(1), pages 175-187.
    12. Sakari Lähdemäki & Eero Lehto & Eero Mäkynen, 2018. "The Role of Natural Resources and Geography for Productivity in Developed Countries," Working Papers 320, Työn ja talouden tutkimus LABORE, The Labour Institute for Economic Research LABORE.
    13. R. Martinez-Espiñeira, 2002. "Residential Water Demand in the Northwest of Spain," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 21(2), pages 161-187, February.
    14. Yongcheol Shin & Laura Serlenga, 2007. "Gravity models of intra-EU trade: application of the CCEP-HT estimation in heterogeneous panels with unobserved common time-specific factors," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 361-381.
    15. Lu, Xun & Su, Liangjun, 2016. "Shrinkage estimation of dynamic panel data models with interactive fixed effects," Journal of Econometrics, Elsevier, vol. 190(1), pages 148-175.
    16. Hansen, Christian & Kozbur, Damian, 2014. "Instrumental variables estimation with many weak instruments using regularized JIVE," Journal of Econometrics, Elsevier, vol. 182(2), pages 290-308.
    17. Tom Wansbeek & Dennis Prak, 2017. "LIML in the static linear panel data model," Econometric Reviews, Taylor & Francis Journals, vol. 36(1-3), pages 385-395, March.
    18. Robert Breunig & Syed Hasan & Mosfequs Salehin, 2013. "The Immigrant Wage Gap and Assimilation in Australia: Does Unobserved Heterogeneity Matter?," The Economic Record, The Economic Society of Australia, vol. 89(287), pages 490-507, December.
    19. repec:eco:journ1:2014-03-22 is not listed on IDEAS
    20. Jalal El Ouardighi, 2005. "La spécialisation des activités technologiques des régions européennes : une approche empirique de la convergence," Recherches économiques de Louvain, De Boeck Université, vol. 71(3), pages 315-343.
    21. Vasilis Sarafidis & Tom Wansbeek, 2020. "Celebrating 40 Years of Panel Data Analysis: Past, Present and Future," Monash Econometrics and Business Statistics Working Papers 6/20, Monash University, Department of Econometrics and Business Statistics.

    More about this item

    Keywords

    FE-2SLS; weak endogeneity; combined estimator; many instruments; L2Boosting; FE-2SLS-Boosting;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • C36 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Instrumental Variables (IV) Estimation
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

    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:ucr:wpaper:202212. 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: Kelvin Mac (email available below). General contact details of provider: https://edirc.repec.org/data/deucrus.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.