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Residual-based tests for cointegration and multiple regime shifts

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Author Info
Vasco J. Gabriel () (Universidade do Minho)
Martin Sola (Birkbeck College, University of London, Universidad Torcuato Di Tella, Argentina)
Zacharias Psaradakis (Birkbeck College, University of London)

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Abstract

In this paper we examine the properties of several cointegration tests when long run parameters are subject to multiple shifts, resorting to Monte Carlo methods. We assume that the changes in cointegration regimes are governed by a unobserved Markov chain process. This specification has the considerable advantage of allowing for an unspecified number of stochastic breaks, unlike previous works that consider a single, deterministic break. Our Monte Carlo analysis reveals that testing cointegration with the usual procedures is a quite unreliable task, since the performance of the tests is poor for a number of plausible regime shifts parameterizations.

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Paper provided by NIPE - Universidade do Minho in its series NIPE Working Papers with number 7/2002.

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Date of creation: 2002
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Handle: RePEc:nip:nipewp:7/2002

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Related research
Keywords: Cointegration; Tests; Structural change; Markov Switching; Monte Carlo;

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Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions
C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation and Testing

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References listed on IDEAS
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. H. Krolzig, . "Statistical Analysis of Cointegrated VAR Processes with Markovian Regime Shifts," Sonderforschungsbereich 373 1996-25, Humboldt Universitaet Berlin.
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  2. Peter Reinhard Hansen, 2000. "Structural Breaks in the Cointegrated Vector Autoregressive Model," Econometric Society World Congress 2000 Contributed Papers 1240, Econometric Society. [Downloadable!]
  3. Andrews, Donald W. K. & Lee, Inpyo & Ploberger, Werner, 1996. "Optimal changepoint tests for normal linear regression," Journal of Econometrics, Elsevier, vol. 70(1), pages 9-38, January. [Downloadable!] (restricted)
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  4. Vasco J. Gabriel, 2001. "Tests for the Null Hypothesis of Cointegration: a Monte Carlo Comparison," NIPE Working Papers 7/2001, NIPE - Universidade do Minho. [Downloadable!]
  5. Zivot, Eric & Andrews, Donald W K, 1992. "Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 251-70, July.
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  6. Campos, Julia & Ericsson, Neil R. & Hendry, David F., 1996. "Cointegration tests in the presence of structural breaks," Journal of Econometrics, Elsevier, vol. 70(1), pages 187-220, January. [Downloadable!] (restricted)
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  7. Hao, K., 1996. "Testing for Structural Change in Cointegrated Regression Models: Some Comparisons and Generalizations," Monash Econometrics and Business Statistics Working Papers 3/96, Monash University, Department of Econometrics and Business Statistics.
  8. Franses, Philip Hans & Haldrup, Niels, 1994. "The Effects of Additive Outliers on Tests for Unit Roots and Cointegration," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(4), pages 471-78, October.
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  9. Gregory, Allan W. & Hansen, Bruce E., 1996. "Residual-based tests for cointegration in models with regime shifts," Journal of Econometrics, Elsevier, vol. 70(1), pages 99-126, January. [Downloadable!] (restricted)
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  10. Driffill, John & Sola, Martin, 1998. "Intrinsic bubbles and regime-switching," Journal of Monetary Economics, Elsevier, vol. 42(2), pages 357-373, July. [Downloadable!] (restricted)
  11. Kang Hao, 1996. "Testing for structural change in cointegrated regression models: some comparisons and generalizations," Econometric Reviews, Taylor and Francis Journals, vol. 15(4), pages 401-429. [Downloadable!] (restricted)
  12. Hamori, Shigeyuki & Tokihisa, Akira, 1997. "Testing for a unit root in the presence of a variance shift1," Economics Letters, Elsevier, vol. 57(3), pages 245-253, December. [Downloadable!] (restricted)
  13. Gregory, Allan W. & Nason, James M. & Watt, David G., 1996. "Testing for structural breaks in cointegrated relationships," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 321-341. [Downloadable!] (restricted)
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  14. Hall, Stephen G & Psaradakis, Zacharias & Sola, Martin, 1997. "Cointegration and Changes in Regime: The Japanese Consumption Function," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(2), pages 151-68, March-Apr. [Downloadable!]
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(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. 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!]
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