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Bias Reduction in Dynamic Panel Data Models by Common Recursive Mean Adjustment

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  • Chi-Young Choi
  • Nelson C. Mark
  • Donggyu Sul

Abstract

The within-group estimator (same as the least squares dummy variable estimator) of the dominant root in dynamic panel regression is known to be biased downwards. This article studies recursive mean adjustment (RMA) as a strategy to reduce this bias for AR("p") processes that may exhibit cross-sectional dependence. Asymptotic properties for "N","T"→∞ jointly are developed. When ( log -super-2"T")("N"/"T")→"ζ", where "ζ" is a non-zero constant, the estimator exhibits nearly negligible inconsistency. Simulation experiments demonstrate that the RMA estimator performs well in terms of reducing bias, variance and mean square error both when error terms are cross-sectionally independent and when they are not. RMA dominates comparable estimators when "T" is small and/or when the underlying process is persistent. Copyright (c) Blackwell Publishing Ltd and the Department of Economics, University of Oxford, 2010.

Suggested Citation

  • Chi-Young Choi & Nelson C. Mark & Donggyu Sul, 2010. "Bias Reduction in Dynamic Panel Data Models by Common Recursive Mean Adjustment," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 72(5), pages 567-599, October.
  • Handle: RePEc:bla:obuest:v:72:y:2010:i:5:p:567-599
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    Cited by:

    1. Chudik, Alexander & Pesaran, M. Hashem & Yang, Jui-Chung, 2016. "Half-panel jackknife fixed effects estimation of panels with weakly exogenous regressor," Globalization and Monetary Policy Institute Working Paper 281, Federal Reserve Bank of Dallas.
    2. Cheng, Ka Ming & Durmaz, Nazif & Kim, Hyeongwoo & Stern, Michael L., 2012. "Hysteresis vs. natural rate of US unemployment," Economic Modelling, Elsevier, vol. 29(2), pages 428-434.
    3. Chudik, Alexander & Pesaran, M. Hashem, 2015. "Common correlated effects estimation of heterogeneous dynamic panel data models with weakly exogenous regressors," Journal of Econometrics, Elsevier, vol. 188(2), pages 393-420.
    4. Kim, Hyeongwoo & Durmaz, Nazif, 2012. "Bias correction and out-of-sample forecast accuracy," International Journal of Forecasting, Elsevier, vol. 28(3), pages 575-586.
    5. Kim, Hyeongwoo & Stern, Liliana V. & Stern, Michael L., 2010. "Half-life bias correction and the G7 stock markets," Economics Letters, Elsevier, vol. 109(1), pages 1-3, October.
    6. Chudik, Alexander & Pesaran, M. Hashem, 2017. "A Bias-Corrected Method of Moments Approach to Estimation of Dynamic Short-T Panels," Globalization and Monetary Policy Institute Working Paper 327, Federal Reserve Bank of Dallas.
    7. Matti Keloharju & Juhani T. Linnainmaa & Peter Nyberg, 2014. "Common Factors in Return Seasonalities," NBER Working Papers 20815, National Bureau of Economic Research, Inc.
    8. Scott, K. Rebecca, 2011. "Demand and Price Volatility: Rational Habits in International Gasoline Demand," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt2q87432b, Department of Agricultural & Resource Economics, UC Berkeley.
    9. Meng, Ming & Lee, Hyejin & Cho, Myeong Hyeon & Lee, Junsoo, 2013. "Impacts of the initial observation on unit root tests using recursive demeaning and detrending procedures," Economics Letters, Elsevier, vol. 120(2), pages 195-199.
    10. Ding, Hui & Kim, Jaebeom, 2017. "Inflation-targeting and real interest rate parity: A bias correction approach," Economic Modelling, Elsevier, vol. 60(C), pages 132-137.
    11. Scott, K. Rebecca, 2015. "Demand and price uncertainty: Rational habits in international gasoline demand," Energy, Elsevier, vol. 79(C), pages 40-49.
    12. Kim, Hyeongwoo & Moh, Young-Kyu, 2012. "Examining the evidence of purchasing power parity by recursive mean adjustment," Economic Modelling, Elsevier, vol. 29(5), pages 1850-1857.
    13. Paulo M. M. Rodrigues, 2013. "Recursive adjustment, unit root tests and structural breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 34(1), pages 62-82, January.
    14. Kim, Jaebeom, 2014. "Inflation targeting and real exchange rates: A bias correction approach," Economics Letters, Elsevier, vol. 125(2), pages 253-256.

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