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Median-Unbiased Estimation in Panel Data: Methodology and Applications to the GDP Convergence and Purchasing Power Parity Hypotheses

Author

Listed:
  • Rodolfo Cermeño

    (Division of Economics, CIDE)

Abstract

This paper reviews the literature on the econometrics of median-unbiased estimation in panel data and provides methodological guidelines for its implementation. The method is then used to evaluate the well known GDP convergence and Purchasing Power Parity (PPP) hypotheses. In the first two examples, panel exactly median-unbiased estimates with yearly data show, respectively, fast conditional convergence rates of per capita income among the 48 USA contiguous states, and extremely slow convergence or non convergence of per capita GDP among the 32 Mexican states. In the third example, using monthly data for a sample of 14 developing countries, the results from panel exactly median-unbiased estimation show that the dynamics of real exchange rates is consistent with the PPP hypothesis, although this process is highly persistent.

Suggested Citation

  • Rodolfo Cermeño, 2007. "Median-Unbiased Estimation in Panel Data: Methodology and Applications to the GDP Convergence and Purchasing Power Parity Hypotheses," Working Papers DTE 407, CIDE, División de Economía.
    • Handle: RePEc:emc:wpaper:dte407
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    References listed on IDEAS

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    1. Kim, Jae H., 2003. "Forecasting autoregressive time series with bias-corrected parameter estimators," International Journal of Forecasting, Elsevier, vol. 19(3), pages 493-502.
    2. Murray, Christian J. & Papell, David H., 2005. "Do Panels Help Solve the Purchasing Power Parity Puzzle?," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 410-415, October.
    3. Mr. Paul Cashin & Christopher J. Kent, 2003. "The Response of the Current Account to Terms of Trade Shocks: Persistence Matters," IMF Working Papers 2003/143, International Monetary Fund.
    4. Andrews, Donald W K & Chen, Hong-Yuan, 1994. "Approximately Median-Unbiased Estimation of Autoregressive Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 187-204, April.
    5. Christian Murray & David Papell, 2005. "The purchasing power parity puzzle is worse than you think," Empirical Economics, Springer, vol. 30(3), pages 783-790, October.
    6. Robert J. Barro & Xavier Sala-i-Martin, 1991. "Convergence across States and Regions," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 22(1), pages 107-182.
    7. 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.
    8. Donald W.K. Andrews & Hong-Yuan Chen, 1992. "Approximately Median-Unbiased Estimation of Autoregressive Models with Applications to U.S. Macroeconomic and Financial Time Series," Cowles Foundation Discussion Papers 1026, Cowles Foundation for Research in Economics, Yale University.
    9. Cashin, Paul & McDermott, C. John & Pattillo, Catherine, 2004. "Terms of trade shocks in Africa: are they short-lived or long-lived?," Journal of Development Economics, Elsevier, vol. 73(2), pages 727-744, April.
    10. Rudebusch, Glenn D, 1992. "Trends and Random Walks in Macroeconomic Time Series: A Re-examination," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(3), pages 661-680, August.
    11. Paul Evans, 1997. "How Fast Do Economies Converge?," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 219-225, May.
    12. Enders, Walter & Falk, Barry, 1998. "Threshold-autoregressive, median-unbiased, and cointegration tests of purchasing power parity," International Journal of Forecasting, Elsevier, vol. 14(2), pages 171-186, June.
    13. Alain Breton & Dinh Pham, 1989. "On the bias of the least squares estimator for the first order autoregressive process," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 41(3), pages 555-563, September.
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    Keywords

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    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C82 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Methodology for Collecting, Estimating, and Organizing Macroeconomic Data; Data Access

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