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Comparison of Tests for the Cointegrating Rank of a VAR Process with a Structural Shift

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Author Info
Helmut Luetkepohl (Humboldt University Berlin)
Pentti Saikkonen (University of Helsinki)
Carsten Trenkler (Humboldt University Berlin)

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Abstract

Two different types of tests for the cointegrating rank of VAR processes with a deterministic shift in the level have been proposed in the literature. The first proposal is based on the LR principle using a specific Gaussian model set-up. In the second proposal the time series are adjusted for deterministic terms first and then LR type tests are applied to the adjusted series. The local power of the two types of tests is derived and compared. Moreover, the small sample size and power properties of the tests are explored. It is found that the tests based on adjusted series generally have superior local power and size properties.

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Publisher Info
Paper provided by Econometric Society in its series Econometric Society World Congress 2000 Contributed Papers with number 0364.

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Date of creation: 01 Aug 2000
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Handle: RePEc:ecm:wc2000:0364

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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. Allan W. Gregory & Bruce E. Hansen, 1992. "Residual-Based Tests for Cointegration in Models with Regime Shifts," Working Papers 862, Queen's University, Department of Economics.
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  2. Seo, Byeongseon, 1998. "Tests For Structural Change In Cointegrated Systems," Econometric Theory, Cambridge University Press, vol. 14(02), pages 222-259, April. [Downloadable!]
  3. Hansen, Bruce E, 2002. "Tests for Parameter Instability in Regressions with I(1) Processes," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 45-59, January.
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  4. Quintos, Carmela E., 1998. "Stability tests in error correction models," Journal of Econometrics, Elsevier, vol. 82(2), pages 289-315, February. [Downloadable!] (restricted)
  5. Inoue, Atsushi, 1999. "Tests of cointegrating rank with a trend-break," Journal of Econometrics, Elsevier, vol. 90(2), pages 215-237, June. [Downloadable!] (restricted)
  6. Lutkepohl, Helmut & Saikkonen, Pentti, 2000. "Testing for the cointegrating rank of a VAR process with a time trend," Journal of Econometrics, Elsevier, vol. 95(1), pages 177-198, March. [Downloadable!] (restricted)
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  7. Julia Campos & Neil R. Ericsson & David F. Hendry, 1993. "Cointegration tests in the presence of structural breaks," International Finance Discussion Papers 440, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
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  8. Saikkonen, Pentti & L tkepohl, Helmut, 1999. "Local Power Of Likelihood Ratio Tests For The Cointegrating Rank Of A Var Process," Econometric Theory, Cambridge University Press, vol. 15(01), pages 50-78, February. [Downloadable!]
  9. Saikkonen, Pentti & Lutkepohl, Helmut, 2000. "Testing for the Cointegrating Rank of a VAR Process with Structural Shifts," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(4), pages 451-64, October.
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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. Stephane Dees & Filippo di Mauro & M. Hashem Pesaran & L. Vanessa Smith, 2006. "Exploring the International Linkages of the Euro Area: a Global VAR Analysis," Computing in Economics and Finance 2006 47, Society for Computational Economics. [Downloadable!]
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  2. Karine Gente & Miguel Leon-Ledesma, 2004. "Does the World Real Interest Rate Affect the Real Exchange Rate? The South East Asian Experience," Studies in Economics 0405, Department of Economics, University of Kent. [Downloadable!]
    Other versions:
  3. H. Lütkepohl & P. Saikkonen & C. Trenkler, . "Testing for the Cointegrating Rank of a VAR Process with Level Shift at Unknown Time," Sonderforschungsbereich 373 2001-63, Humboldt Universitaet Berlin.
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  4. Yoichi Arai & Eiji Kurozumi, 2005. "Testing for the Null Hypothesis of Cointegration with Structural Breaks," CIRJE F-Series CIRJE-F-319, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  5. C. Trenkler, . "The Polish Crawling Peg System: A Cointegration Analysis," Sonderforschungsbereich 373 2000-71, Humboldt Universitaet Berlin.
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