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A Stein-like estimator for linear panel data models

Author

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  • Wang, Yun
  • Zhang, Yonghui
  • Zhou, Qiankun

Abstract

In this paper we follow Hansen (2015a) and propose a Stein-like estimator for linear panel data models. Our estimator takes a weighted average of the fixed effects estimator and the random effects estimator using the weights constructed from Hausman’s (1978) testing statistic. We establish the asymptotic distribution of the Stein-like estimator and show its asymptotic risk being strictly smaller than the fixed effects estimator within a local asymptotic framework.

Suggested Citation

  • Wang, Yun & Zhang, Yonghui & Zhou, Qiankun, 2016. "A Stein-like estimator for linear panel data models," Economics Letters, Elsevier, vol. 141(C), pages 156-161.
    • Handle: RePEc:eee:ecolet:v:141:y:2016:i:c:p:156-161
    DOI: 10.1016/j.econlet.2016.02.016
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    References listed on IDEAS

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    1. Frondel, Manuel & Vance, Colin, 2010. "Fixed, random, or something in between? A variant of Hausman's specification test for panel data estimators," Economics Letters, Elsevier, vol. 107(3), pages 327-329, June.
    2. Hausman, Jerry A & Taylor, William E, 1981. "Panel Data and Unobservable Individual Effects," Econometrica, Econometric Society, vol. 49(6), pages 1377-1398, November.
    3. Hahn, Jinyong & Ham, John & Moon, Hyungsik Roger, 2011. "Test of random versus fixed effects with small within variation," Economics Letters, Elsevier, vol. 112(3), pages 293-297, September.
    4. Jerry Hausman, 2015. "Specification tests in econometrics," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 38(2), pages 112-134.
    5. Kabaila, Paul & Mainzer, Rheanna & Farchione, Davide, 2015. "The impact of a Hausman pretest, applied to panel data, on the coverage probability of confidence intervals," Economics Letters, Elsevier, vol. 131(C), pages 12-15.
    6. Chmelarova, Viera & Hill, R. Carter, 2010. "The Hausman pretest estimator," Economics Letters, Elsevier, vol. 108(1), pages 96-99, July.
    7. Guggenberger, Patrik, 2010. "The impact of a Hausman pretest on the size of a hypothesis test: The panel data case," Journal of Econometrics, Elsevier, vol. 156(2), pages 337-343, June.
    8. Guggenberger, Patrik, 2010. "The Impact Of A Hausman Pretest On The Asymptotic Size Of A Hypothesis Test," Econometric Theory, Cambridge University Press, vol. 26(2), pages 369-382, April.
    9. Baltagi, Badi H. & Bresson, Georges & Pirotte, Alain, 2003. "Fixed effects, random effects or Hausman-Taylor?: A pretest estimator," Economics Letters, Elsevier, vol. 79(3), pages 361-369, June.
    10. Manuel Frondel & Colin Vance, 2010. "Fixed, Random, or Something in Between? – A Variant of HAUSMAN’s Specifi cation Test for Panel Data Estimators," Ruhr Economic Papers 0160, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
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    Cited by:

    1. Muhammad Qasim, 2024. "A weighted average limited information maximum likelihood estimator," Statistical Papers, Springer, vol. 65(5), pages 2641-2666, July.
    2. Li, Haiqi & Chen, Xingyi & Liang, Jufang, 2022. "Shrinkage estimation of panel data models with interactive effects," Economics Letters, Elsevier, vol. 210(C).

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    Keywords

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    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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