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Likelihood-Based Inference in Multivariate Panel Cointegration Models

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Rolf Larsson (Stockholm University)
Johan Lyhagen (Stockholm School of Economics)

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Abstract

This paper presents a general likelihood-based framework for inference in panel-VAR models with cointegrating restrictions. The cointegrating relations are restricted to each cross-section while the rest of the model is unrestricted. The homogenous restriction of common cointegrating space is also considered. Asymptotic distributions of parameter estimates and the test statistics for the cointegrating rank and the homogenous restriction are derived. The distribution for the cointegrating rank is shown to be the convolution of the standard distribution of the trace statistic and the chi$^2$ distribution. The homogenous restriction test statistic is chi$^2$. A Monte Carlo simulation investigates the small sample properties of the two tests. The empirical size of the test for the cointegrating rank is well above the nominal. A Bartlett corrected test statistic is shown to have size very close to the nominal. We give an empirical example for a consumption model including consumption, income and inflation.

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Paper provided by Econometric Society in its series Econometric Society World Congress 2000 Contributed Papers with number 1313.

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Date of creation: 01 Aug 2000
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Handle: RePEc:ecm:wc2000:1313

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  1. Peter Hansen, 2002. "Generalized Reduced Rank Regression," Working Papers 2002-02, Brown University, Department of Economics. [Downloadable!]
  2. Tor Jacobson & Johan Lyhagen & Rolf Larsson & Marianne Nessén, 2002. "Inflation, Exchange Rates and PPP in a Multivariate Panel Cointegration Model," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 D4-2, International Conferences on Panel Data. [Downloadable!]
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  3. Caporale, Guglielmo Maria & Cerrato, Mario, 2004. "Panel Data Tests of PPP. A Critical Overview," Economics Series 159, Institute for Advanced Studies. [Downloadable!]
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  4. Breitung, J. & Pesaran, M.H., 2005. "Unit Roots and Cointegration in Panels," Cambridge Working Papers in Economics 0535, Faculty of Economics, University of Cambridge. [Downloadable!]
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  5. Alexander Ludwig & Torsten Sløk, 2002. "The Impact of Changes in Stock Prices and House Prices on Consumption in OECD Countries," IMF Working Papers 02/1, International Monetary Fund. [Downloadable!]
  6. Wagner, Martin & Hlouskova, Jaroslava, 2007. "The Performance of Panel Cointegration Methods. Results from a Large Scale Simulation Study," Economics Series 210, Institute for Advanced Studies. [Downloadable!]
  7. Deniz Dilan Karaman Örsal, 2007. "Comparison of Panel Cointegration Tests," SFB 649 Discussion Papers SFB649DP2007-029, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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  8. Alain Hecq & Franz Palm & Jean-Pierre Urbain, 2002. "Separation, Weak Exogeneity, And P-T Decomposition In Cointegrated Var Systems With Common Features," Econometric Reviews, Taylor and Francis Journals, vol. 21(3), pages 273-307. [Downloadable!] (restricted)
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  9. Alessandro Rebucci, 2003. "On the Heterogeneity Bias of Pooled Estimators in Stationary VAR Specifications," IMF Working Papers 03/73, International Monetary Fund. [Downloadable!]
  10. Alexander Ludwig & Torsten Sløk, 2004. "The relationship between stock prices, house prices and consumption in OECD countries," MEA discussion paper series 04044, Mannheim Research Institute for the Economics of Aging (MEA), University of Mannheim. [Downloadable!]
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  11. Hecq, Alain & Palm, Franz C. & Urbain, Jean-Pierre, 2000. "Testing for Common Cyclical Features in Nonstationary Panel Data Models," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
  12. Ludwig, Alexander & Sløk, Torsten, 2004. "The relationship between stock prices, house prices and consumption in OECD," Sonderforschungsbereich 504 Publications 04-12, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
  13. Richard G. Anderson & Hailong Qian & Robert H. Rasche, 2006. "Analysis of panel vector error correction models using maximum likelihood, the bootstrap, and canonical-correlation estimators," Working Papers 2006-050, Federal Reserve Bank of St. Louis. [Downloadable!]
  14. Österholm, Pär, 2004. "Estimating the Relationship between Age Structure and GDP in the OECD Using Panel Cointegration Methods," Working Paper Series 2004:13, Uppsala University, Department of Economics. [Downloadable!]
  15. Roger Hammersland, 2004. "Large T and small N : A three-step approach to the identification of cointegrating relationships in time series models with a small cross-sectional dimension," Working Paper 2004/15, Norges Bank. [Downloadable!]
  16. Anindya Banerjee & Massimiliano Marcellino & Chiara Osbat, . "Testing for PPP: Should We Use Panel Methods?," Working Papers 186, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University. [Downloadable!]
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