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Asymptotics and Bootstrap for Transformed Panel Data Regressions

Author

Listed:
  • Liangjun Su

    (School of Economics, Singapore Management University)

  • Zhenlin Yang

    (School of Economics, Singapore Management University)

Abstract

This paper investigates the asymptotic properties of quasi-maximum likelihood estimators for transformed random effects models where both the response and (some of) the covariates are subject to transformations for inducing normality, flexible functional form, homoscedasticity, and simple model structure. We develop a quasi maximum likelihood-type procedure for model estimation and inference. We prove the consistency and asymptotic normality of the parameter estimates, and propose a simple bootstrap procedure that leads to a robust estimate of the variance-covariance matrix. Monte Carlo results reveal that these estimates perform well in finite samples, and that the gains by using bootstrap procedure for inference can be enormous.

Suggested Citation

  • Liangjun Su & Zhenlin Yang, 2009. "Asymptotics and Bootstrap for Transformed Panel Data Regressions," Working Papers 03-2009, Singapore Management University, School of Economics.
    • Handle: RePEc:siu:wpaper:03-2009
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    References listed on IDEAS

    as
    1. Yang, Z.L. & Tse, Y.K., 2007. "A Corrected Plug-in Method for Quantile Interval Construction Through a Transformed Regression," Journal of Business & Economic Statistics, American Statistical Association, vol. 25, pages 356-376, July.
    2. Davidson, James, 1994. "Stochastic Limit Theory: An Introduction for Econometricians," OUP Catalogue, Oxford University Press, number 9780198774037.
    3. Andrews, Donald W.K., 1992. "Generic Uniform Convergence," Econometric Theory, Cambridge University Press, vol. 8(2), pages 241-257, June.
    4. Baltagi, Badi H., 1997. "Testing linear and loglinear error components regressions against Box-Cox alternatives," Statistics & Probability Letters, Elsevier, vol. 33(1), pages 63-68, April.
    5. Frees,Edward W., 2004. "Longitudinal and Panel Data," Cambridge Books, Cambridge University Press, number 9780521828284, October.
    6. Andrews, Donald W K, 1987. "Consistency in Nonlinear Econometric Models: A Generic Uniform Law of Large Numbers [On Unification of the Asymptotic Theory of Nonlinear Econometric Models]," Econometrica, Econometric Society, vol. 55(6), pages 1465-1471, November.
    7. Baltagi, Badi H. & Li, Qi, 1992. "A monotonic property for iterative GLS in the two-way random effects model," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 45-51.
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    14. Potscher, Benedikt M & Prucha, Ingmar R, 1989. "A Uniform Law of Large Numbers for Dependent and Heterogeneous Data Processes," Econometrica, Econometric Society, vol. 57(3), pages 675-683, May.
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    Cited by:

    1. Jin, Fei & Lee, Lung-fei, 2015. "On the bootstrap for Moran’s I test for spatial dependence," Journal of Econometrics, Elsevier, vol. 184(2), pages 295-314.
    2. Ou Bianling & Long Zhihe & Li Wenqian, 2019. "Bootstrap LM Tests for Spatial Dependence in Panel Data Models with Fixed Effects," Journal of Systems Science and Information, De Gruyter, vol. 7(4), pages 330-343, August.

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    More about this item

    Keywords

    Asymptotics; Bootstrap; Quasi-MLE; Transformed panels; Variancecovariance matrix estimate.;
    All these keywords.

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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