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On the Estimation and Inference of a Panel Cointegration Model with Cross-Sectional Dependence

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Abstract

Most of the existing literature on panel data cointegration assumes cross-sectional independence, an assumption that is difficult to satisfy. This paper studies panel cointegration under cross-sectional dependence, which is characterized by a factor structure. We derive the limiting distribution of a fully modified estimator for the panel cointegrating coefficients. We also propose a continuous-updated fully modified (CUP-FM) estimator). Monte Carlo results show that the CUP-FM estimator has better small sample properties than the two-step FM (2S-FM) and OLS estimators.

Suggested Citation

  • Jushan Bai & Chihwa Kao, 2005. "On the Estimation and Inference of a Panel Cointegration Model with Cross-Sectional Dependence," Center for Policy Research Working Papers 75, Center for Policy Research, Maxwell School, Syracuse University.
  • Handle: RePEc:max:cprwps:75
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    1. Forni, Mario & Hallin, Marc & Lippi, Marco & Reichlin, Lucrezia, 2000. "Reference Cycles: The NBER Methodology Revisited," CEPR Discussion Papers 2400, C.E.P.R. Discussion Papers.
    2. Jushan Bai & Serena Ng, 2002. "Determining the Number of Factors in Approximate Factor Models," Econometrica, Econometric Society, vol. 70(1), pages 191-221, January.
    3. Peter C. B. Phillips & Bruce E. Hansen, 1990. "Statistical Inference in Instrumental Variables Regression with I(1) Processes," Review of Economic Studies, Oxford University Press, vol. 57(1), pages 99-125.
    4. Moon, H.R.Hyungsik Roger & Perron, Benoit, 2004. "Testing for a unit root in panels with dynamic factors," Journal of Econometrics, Elsevier, vol. 122(1), pages 81-126, September.
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    12. Jushan Bai, 2003. "Inferential Theory for Factor Models of Large Dimensions," Econometrica, Econometric Society, vol. 71(1), pages 135-171, January.
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    16. Robertson, Donald & Symons, James, 2000. "Factor residuals in SUR regressions: estimating panels allowing for cross sectional correlation," LSE Research Online Documents on Economics 20163, London School of Economics and Political Science, LSE Library.
    17. 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.
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    Cited by:

    1. Byrne, Joseph P. & Fiess, Norbert & MacDonald, Ronald, 2011. "The global dimension to fiscal sustainability," Journal of Macroeconomics, Elsevier, vol. 33(2), pages 137-150, June.
    2. Coudert, Virginie & Couharde, Cécile & Mignon, Valérie, 2015. "On the impact of volatility on the real exchange rate – terms of trade nexus: Revisiting commodity currencies," Journal of International Money and Finance, Elsevier, vol. 58(C), pages 110-127.
    3. Piotr Roszkowski & Kamila Sławińska & Andrzej Torój, 2014. "BEER tastes better in a panel of neighbours. On equilibrium exchange rates in CEE countries," Collegium of Economic Analysis Annals, Warsaw School of Economics, Collegium of Economic Analysis, issue 34, pages 209-226.
    4. Mahdavi, Saeid & Westerlund, Joakim, 2011. "Fiscal stringency and fiscal sustainability: Panel evidence from the American state and local governments," Journal of Policy Modeling, Elsevier, vol. 33(6), pages 953-969.

    More about this item

    Keywords

    panel data cointegration; cross-sectional independence; cross-sectional dependence; continuous updated fully modified (CUP-FM) estimator; Monte Carlo results; two-step FM (2S-FM) estimator; OLS estimator;

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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