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Bias Reduction by Recursive Mean Adjustment in Dynamic Panel Data Models

Author

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  • Chi-Young Choi

    (University of New Hampshire)

  • Nelson C. Mark

    (University of Notre Dame)

  • Donggyu Sul

    (University of Auckland)

Abstract

Accurate estimation of the dominant root of a stationary but persistent time series are required to determine the speed at which economic time series, such as real exchange rates or interest rates, adjust towards their mean values. In practice, accuracy is hampered by downward small- sample bias. Recursive mean adjustment has been found to be a useful bias reduction strategy in the regression context. In this paper, we study recursive mean adjustment in dynamic panel data models. When there exists cross-sectional heterogeneity in the dominant root, the recursive mean adjusted SUR estimator is appropriate. When homogeneity restrictions can be imposed, a pooled recursive mean adjusted GLS estimator with fixed e¤ects is the desired estimator. Application of these techniques to a small panel of five eurocurrency rates finds that these interest rates are unit root nonstationary as the bias-corrected autoregressive coefficient exceeds 1.

Suggested Citation

  • Chi-Young Choi & Nelson C. Mark & Donggyu Sul, 2004. "Bias Reduction by Recursive Mean Adjustment in Dynamic Panel Data Models," Econometrics 0409005, EconWPA.
  • Handle: RePEc:wpa:wuwpem:0409005
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    References listed on IDEAS

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    1. Ball, Clifford A. & Torous, Walter N., 1996. "Unit roots and the estimation of interest rate dynamics," Journal of Empirical Finance, Elsevier, vol. 3(2), pages 215-238, June.
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    4. Frankel, Jeffrey A. & Rose, Andrew K., 1996. "A panel project on purchasing power parity: Mean reversion within and between countries," Journal of International Economics, Elsevier, vol. 40(1-2), pages 209-224, February.
    5. Jinyong Hahn & Guido Kuersteiner, 2002. "Asymptotically Unbiased Inference for a Dynamic Panel Model with Fixed Effects when Both "n" and "T" Are Large," Econometrica, Econometric Society, vol. 70(4), pages 1639-1657, July.
    6. Murray, Christian J. & Papell, David H., 2002. "The purchasing power parity persistence paradigm," Journal of International Economics, Elsevier, vol. 56(1), pages 1-19, January.
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    8. Chan, K C, et al, 1992. " An Empirical Comparison of Alternative Models of the Short-Term Interest Rate," Journal of Finance, American Finance Association, vol. 47(3), pages 1209-1227, July.
    9. Pearson, Neil D & Sun, Tong-Sheng, 1994. " Exploiting the Conditional Density in Estimating the Term Structure: An Application to the Cox, Ingersoll, and Ross Model," Journal of Finance, American Finance Association, vol. 49(4), pages 1279-1304, September.
    10. Papell, David H., 2006. "The Panel Purchasing Power Parity Puzzle," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(2), pages 447-467, March.
    11. Peter C. B. Phillips & Donggyu Sul, 2003. "Dynamic panel estimation and homogeneity testing under cross section dependence *," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 217-259, June.
    12. Nickell, Stephen J, 1981. "Biases in Dynamic Models with Fixed Effects," Econometrica, Econometric Society, vol. 49(6), pages 1417-1426, November.
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    Cited by:

    1. Choi, Chi-Young & Mark, Nelson C. & Sul, Donggyu, 2006. "Unbiased Estimation of the Half-Life to PPP Convergence in Panel Data," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(4), pages 921-938, June.
    2. Hegwood, Natalie D. & Nath, Hiranya K., 2013. "Structural breaks and relative price convergence among US cities," Journal of Macroeconomics, Elsevier, vol. 36(C), pages 150-160.
    3. Donggyu Sul, 2005. "New Panel Unit Root Tests under Cross Section Dependence for Practitioners," Econometrics 0506010, EconWPA.
    4. Choi, Chi-Young & Matsubara, Kiyoshi, 2007. "Heterogeneity in the persistence of relative prices: What do the Japanese cities tell us?," Journal of the Japanese and International Economies, Elsevier, vol. 21(2), pages 260-286, June.
    5. Chmelarova, Viera & Nath, Hiranya K., 2010. "Relative price convergence among US cities: Does the choice of numeraire city matter?," Journal of Macroeconomics, Elsevier, vol. 32(1), pages 405-414, March.

    More about this item

    Keywords

    Small sample bias; Recursive mean adjustment; Panel Data; Cross-sectional dependence; Interest rate dynamics;

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs

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