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Statistical Analysis of Cointegrated VAR Processes with Markovian Regime Shifts

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Author Info
Hans-Martin Krolzig () (University of Oxford)

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Abstract

This paper suggests a new methodological approach to the analysis of cointegrated linear systems subject to changes in regime. We consider cointegrated vector autoregressive processes where Markovian shifts occur in the equilibrium mean and the drift of the system. A two-stage maximum likelihood estimation technique is proposed. In the first stage, based on a finite order VAR approximation of the cointegrated VARMA representation, the Johansen cointegration analysis is invoked to determine the cointegration rank and to estimate the cointegration matrix. An EM algorithm delivers the maximum likelihood estimates of the remaining parameters. The methodology is illustrated with an investigation of international and global business cycles.

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Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 1999 with number 1113.

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Date of creation: 01 Mar 1999
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Handle: RePEc:sce:scecf9:1113

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  1. Rebecca A Emerson & David Hendry, 1994. "An evaluation of forecasting using leading indicators," Economics Papers 5., Economics Group, Nuffield College, University of Oxford. [Downloadable!]
  2. Juan J. DOLADO & Helmut LUETKEPOHL, . "Making Wald Tests Work for Cointegrated Var Systems," Sonderforschungsbereich 373 1994-44, Humboldt Universitaet Berlin.
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  3. Proietti, Tommaso, 1997. "Short-Run Dynamics in Cointegrated Systems," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(3), pages 405-22, August.
  4. H. L"Utkepohl & P. Saikkonen, . "Impulse Response Analysis in Infinite Order Cointegrated Vector Autoregressive Processes," Sonderforschungsbereich 373 1995-11, Humboldt Universitaet Berlin.
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  5. 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)
  6. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-84, March. [Downloadable!] (restricted)
  7. Granger, C. W. J., 1981. "Some properties of time series data and their use in econometric model specification," Journal of Econometrics, Elsevier, vol. 16(1), pages 121-130, May. [Downloadable!] (restricted)
  8. Granger, Clive W J, 1986. "Developments in the Study of Cointegrated Economic Variables," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 48(3), pages 213-28, August.
  9. Granger, C W J, 1969. "Investigating Causal Relations by Econometric Models and Cross-Spectral Methods," Econometrica, Econometric Society, vol. 37(3), pages 424-38, July. [Downloadable!] (restricted)
  10. 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)
  11. repec:cup:etheor:v:8:y:1992:i:1:p:1-27 is not listed on IDEAS
  12. Hamilton, James D., 1990. "Analysis of time series subject to changes in regime," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 39-70. [Downloadable!] (restricted)
  13. Davidson, James E H, et al, 1978. "Econometric Modelling of the Aggregate Time-Series Relationship between Consumers' Expenditure and Income in the United Kingdom," Economic Journal, Royal Economic Society, vol. 88(352), pages 661-92, December. [Downloadable!] (restricted)
  14. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254. [Downloadable!] (restricted)
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Cited by:
(explanations, 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. Peter Tillmann, 2004. "Cointegration and Regime-Switching Risk Premia in the US Term Structure of Interest Rates," Econometric Society 2004 North American Summer Meetings 26, Econometric Society. [Downloadable!]
    Other versions:
  2. Mike Artis & Hans-Martin Krolzig & Juan Toro, 2002. "The European Business Cycle," Economic Working Papers at Centro de Estudios Andaluces E2002/19, Centro de Estudios Andaluces. [Downloadable!]
    Other versions:
  3. PeterTillmann, 2004. "Cointegration and Regime-Switching Risk Premia in the U.S. Term Structure of Interest Rates," Computing in Economics and Finance 2004 53, Society for Computational Economics. [Downloadable!]
  4. Peter Reinhard Hansen, 2000. "Structural Breaks in the Cointegrated Vector Autoregressive Model," Econometric Society World Congress 2000 Contributed Papers 1240, Econometric Society. [Downloadable!]
  5. Giorgio Valente & Lucio Sarno, 2005. "Modelling and forecasting stock returns: exploiting the futures market, regime shifts and international spillovers," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(3), pages 345-376. [Downloadable!]
    Other versions:
  6. Matteo Manera & Alessandro Cologni, 2006. "The Asymmetric Effects of Oil Shocks on Output Growth: A Markov-Switching Analysis for the G-7 Countries," Working Papers 2006.29, Fondazione Eni Enrico Mattei. [Downloadable!]
  7. Vasco J. Gabriel & Luis F. Martins, 2000. "The Properties of Cointegration Tests in Models with Structural Change," NIPE Working Papers 1/2000, NIPE - Universidade do Minho. [Downloadable!]
  8. Richard Clarida & Lucio Sarno & Mark Taylor & Giorgio Valente, 2001. "The Out-of-Sample Success of Term Structure Models as Exchange Rate Predictors: A Step Beyond," NBER Working Papers 8601, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  9. Vasco J. Gabriel & Martin Sola & Zacharias Psaradakis, 2001. "A simple method for testing cointegration subject to regime changes," NIPE Working Papers 15/2001, NIPE - Universidade do Minho. [Downloadable!]
  10. Ihle, Rico & Cramon-Taubadel, Stephan von, 2008. "A Comparison of Threshold Cointegration and Markov-Switching Vector Error Correction Models in Price Transmission Analysis," 2008 Conference, April 21-22, 2008, St. Louis, Missouri 37603, NCCC-134 Conference on Applied Commodity Price Analysis, Forecasting, and Market Risk Management. [Downloadable!]
  11. Maximo Camacho, 2002. "Nonlinear stochastic trends and economic fluctuations," Computing in Economics and Finance 2002 274, Society for Computational Economics. [Downloadable!]
  12. Igor Alexandre Clemente de Morais & Marcelo Savino Portugal, 2003. "Business Cycle in the Industrial Production of Brazilian States," Anais do XXXI Encontro Nacional de Economia [Proceedings of the 31th Brazilian Economics Meeting] e75, ANPEC - Associação Nacional dos Centros de Pósgraduação em Economia [Brazilian Association of Graduate Programs in Economics]. [Downloadable!]
    Other versions:
  13. Hans-Martin Krolzig & Juan Toro, 2001. "A New Approach to the Analysis of Business Cycle Transitions in a Model of Output and Employment," Economics Series Working Papers 059, University of Oxford, Department of Economics. [Downloadable!]
    Other versions:
  14. Peter Reinhard Hansen, 2000. "Structural Changes in the Cointegrated Vector Autoregressive Model," Working Papers 2000-20, Brown University, Department of Economics. [Downloadable!]
    Other versions:
  15. M. Portugal & I.A. de Morais, 2004. "STRUCTURAL CHANGE IN THE BRAZILIAN DEMAND FOR IMPORTS: A regime switching approach," Econometric Society 2004 Latin American Meetings 346, Econometric Society. [Downloadable!]
  16. Vasco J. Gabriel & Martin Sola & Zacharias Psaradakis, 2002. "Residual-based tests for cointegration and multiple regime shifts," NIPE Working Papers 7/2002, NIPE - Universidade do Minho. [Downloadable!]
  17. Sarno, Lucio & Valente, Giorgio & Wohar, Mark E, 2003. "Monetary Fundamentals and Exchange Rate Dynamics under Different Nominal Regimes," CEPR Discussion Papers 3983, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  18. Clarida, Richard & Sarno, Lucio & Taylor, Mark P & Valente, Giorgio, 2005. "The Role of Asymmetries and Regime Shifts in the Term Structure of Interest Rates," CEPR Discussion Papers 4835, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  19. Hans-Martin Krolzig & Massimiliano Marcellino & Grayham E. Mizon, . "A Markov-Switching Vector Equilibrium Correction Model of the UK Labour Market," Working Papers 185, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University. [Downloadable!]
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  20. Massimiliano Marcellino & Grayham E. Mizon, . "Modelling shifts in the wage-price and unemployment-inflation relationships in Italy, Poland, and the UK," Working Papers 145, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University. [Downloadable!]
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