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Likelihood-Based Cointegration Analysis in Panels of Vector Error-Correction Models

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Author Info
Groen, Jan J J
Kleibergen, Frank

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Abstract

We propose a likelihood-based framework for cointegration analysis in panels of a fixed number of vector error-correction (VEC) models. We obtain likelihood ratio statistics to test for a common cointegration rank across the individual VEC models with both heterogeneous and homogeneous cointegrating vectors. Their limiting distributions are a summation of the limiting behavior of Johansen trace statistics. We extend the asymptotic distribution theory to cover the case of an infinite cross-sectional dimension. We apply the framework to a dataset of exchange rates and appropriate monetary fundamentals. We find evidence for the validity of the monetary exchange rate model within a panel of VEC models for three major European countries, whereas the results based on individual VEC models for each of these countries separately are less supportive.

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Publisher Info
Article provided by American Statistical Association in its journal Journal of Business and Economic Statistics.

Volume (Year): 21 (2003)
Issue (Month): 2 (April)
Pages: 295-318
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Handle: RePEc:bes:jnlbes:v:21:y:2003:i:2:p:295-318

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Park, J.Y. & Ogaki, M., 1991. "Seemingly Unrelated Canonical Cointegrating Regressions," RCER Working Papers 280, University of Rochester - Center for Economic Research (RCER).
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  4. Peter C.B. Phillips & Victor Solo, 1989. "Asymptotics for Linear Processes," Cowles Foundation Discussion Papers 932, Cowles Foundation, Yale University. [Downloadable!]
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  6. Park, Joon Y, 1992. "Canonical Cointegrating Regressions," Econometrica, Econometric Society, vol. 60(1), pages 119-43, January. [Downloadable!] (restricted)
  7. Osterwald-Lenum, Michael, 1992. "A Note with Quantiles of the Asymptotic Distribution of the Maximum Likelihood Cointegration Rank Test Statistics," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 461-72, August.
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  10. Larsson, Rolf & Lyhagen, Johan & Löthgren, Mickael, 1998. "Likelihood-Based Cointegration Tests in Heterogeneous Panels," Working Paper Series in Economics and Finance 250, Stockholm School of Economics, revised 27 Aug 1998.
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  11. Groen, Jan J. J., 2000. "The monetary exchange rate model as a long-run phenomenon," Journal of International Economics, Elsevier, vol. 52(2), pages 299-319, December. [Downloadable!] (restricted)
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  12. Pierre Perron & Robert J. Shiller, 1984. "Testing the Random Walk Hypothesis: Power Versus Frequency of Observation," Cowles Foundation Discussion Papers 732, Cowles Foundation, Yale University. [Downloadable!]
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  13. Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-76, March. [Downloadable!] (restricted)
  14. Kleibergen, Frank & Urbain, Jean-Pierre & Dijk, Herman K. van, 1996. "Oil price shocks and long run price and import demand behavior," Econometric Institute Report 44, Erasmus University Rotterdam, Econometric Institute. [Downloadable!]
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  15. Phillips, P C B, 1991. "Optimal Inference in Cointegrated Systems," Econometrica, Econometric Society, vol. 59(2), pages 283-306, March. [Downloadable!] (restricted)
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  16. Peter C.B. Phillips & Hyungsik R. Moon, 1999. "Linear Regression Limit Theory for Nonstationary Panel Data," Cowles Foundation Discussion Papers 1222, Cowles Foundation, Yale University. [Downloadable!]
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  17. Kleibergen, F., 1996. "Reduced rank regression using generalized method of moments estimators," Discussion Paper 20, Tilburg University, Center for Economic Research. [Downloadable!]
  18. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-80, November. [Downloadable!] (restricted)
  19. Phillips, Peter C B, 1995. "Fully Modified Least Squares and Vector Autoregression," Econometrica, Econometric Society, vol. 63(5), pages 1023-78, September. [Downloadable!] (restricted)
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  20. Andrew Levin & Chien-Fu Lin, 1992. "Unit Root Tests in Panel Data: Asymptotic and Finite-Sample Properties," University of California at San Diego, Economics Working Paper Series 92-23, Department of Economics, UC San Diego. [Downloadable!]
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  21. Papell, David H., 1997. "Searching for stationarity: Purchasing power parity under the current float," Journal of International Economics, Elsevier, vol. 43(3-4), pages 313-332, November. [Downloadable!] (restricted)
  22. Sims, Christopher A & Stock, James H & Watson, Mark W, 1990. "Inference in Linear Time Series Models with Some Unit Roots," Econometrica, Econometric Society, vol. 58(1), pages 113-44, January. [Downloadable!] (restricted)
  23. Jan J.J. Groen & Frank R. Kleibergen, 1999. "Likelihood-Based Cointegration Analysis in Panels of Vector Error Correction Models," Tinbergen Institute Discussion Papers 99-055/4, Tinbergen Institute. [Downloadable!]
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  24. M Pesaran & Yongcheol Shin & Ron P Smith, 2004. "Pooled mean group estimation of dynamic heterogeneous panels," ESE Discussion Papers 16, Edinburgh School of Economics, University of Edinburgh. [Downloadable!]
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