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The Weak Instrument Problem of the System GMM Estimator in Dynamic Panel Data Models

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  • Maurice J.G. Bun
  • Frank Windmeijer

Abstract

The system GMM estimator for dynamic panel data models combines moment conditions for the model in first differences with moment conditions for the model in levels. It has been shown to improve on the GMM estimator in the first differenced model in terms of bias and root mean squared error. However, we show in this paper that in the covariance stationary panel data AR(1) model the expected values of the concentration parameters in the differenced and levels equations for the crosssection at time t are the same when the variances of the individual heterogeneity and idiosyncratic errors are the same. This indicates a weak instrument problem also for the equation in levels. We show that the 2SLS biases relative to that of the OLS biases are then similar for the equations in differences and levels, as are the size distortions of the Wald tests. These results are shown in a Monte Carlo study to extend to the panel data system GMM estimator.

Suggested Citation

  • Maurice J.G. Bun & Frank Windmeijer, 2007. "The Weak Instrument Problem of the System GMM Estimator in Dynamic Panel Data Models," Bristol Economics Discussion Papers 07/595, School of Economics, University of Bristol, UK.
  • Handle: RePEc:bri:uobdis:07/595
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    More about this item

    Keywords

    Dynamic Panel Data; System GMM; Weak Instruments;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • 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

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