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Comparison of tests for the cointegrating rank of a VAR process with a structural shift

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  • Lütkepohl, Helmut
  • Saikkonen, Pentti
  • Trenkler, Carsten

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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Bibliographic Info

Paper provided by Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes in its series SFB 373 Discussion Papers with number 2000,10.

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Date of creation: 2000
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Handle: RePEc:zbw:sfb373:200010

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Keywords: local power; test size; cointegration; vector autoregressive process; error correction model;

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References

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  1. Hansen, Bruce E, 1992. "Tests for Parameter Instability in Regressions with I(1) Processes," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 321-35, July.
  2. 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.
  3. Saikkonen, Pentti & Lütkepohl, Helmut, 1997. "Local power of likelihood ratio tests for the cointegrating rank of a VAR process," SFB 373 Discussion Papers 1997,58, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  4. Seo, Byeongseon, 1998. "Tests For Structural Change In Cointegrated Systems," Econometric Theory, Cambridge University Press, vol. 14(02), pages 222-259, April.
  5. Toda, Hiro Y., 1995. "Finite Sample Performance of Likelihood Ratio Tests for Cointegrating Ranks in Vector Autoregressions," Econometric Theory, Cambridge University Press, vol. 11(05), pages 1015-1032, October.
  6. Quintos, Carmela E., 1998. "Stability tests in error correction models," Journal of Econometrics, Elsevier, vol. 82(2), pages 289-315, February.
  7. Søren Johansen & Rocco Mosconi & Bent Nielsen, 2000. "Cointegration analysis in the presence of structural breaks in the deterministic trend," Econometrics Journal, Royal Economic Society, vol. 3(2), pages 216-249.
  8. Inoue, Atsushi, 1999. "Tests of cointegrating rank with a trend-break," Journal of Econometrics, Elsevier, vol. 90(2), pages 215-237, June.
  9. Saikkonen, Pentti & Lütkepohl, Helmut, 2001. "Testing for the cointegrating rank of a VAR process with structural shifts," SFB 373 Discussion Papers 1998,82, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  10. 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.
  11. Toda, Hiro Y, 1994. "Finite Sample Properties of Likelihood Ratio Tests for Cointegrating Ranks when Linear Trends are Present," The Review of Economics and Statistics, MIT Press, vol. 76(1), pages 66-79, February.
  12. 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.).
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Citations

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Cited by:
  1. Kurozumi, Eiji & Arai, Yoichi, 2005. "Efficient Estimation and Inference in Cointegrating Regressions with Structural Change," Discussion Papers 2004-09, Graduate School of Economics, Hitotsubashi University.
  2. Karine Gente & Miguel Leon-Ledesma, 2006. "Does the world real interest rate affect the real exchange rate? The South East Asian experience," Journal of International Trade & Economic Development, Taylor and Francis Journals, vol. 15(4), pages 441-467.
  3. Filippo di Mauro & L. Vanessa Smith & Stephane Dees & M. Hashem Pesaran, 2007. "Exploring the international linkages of the euro area: a global VAR analysis," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(1), pages 1-38.
  4. Mussolini, Caio Cesar & Kuhl Teles, Vladimir, 2010. "Infrastructure and productivity in Latin America: is there a relationship in the long run?," Textos para discussão 246, Escola de Economia de São Paulo, Getulio Vargas Foundation (Brazil).
  5. Nikolaos Giannellis & Minoas Koukouritakis, 2011. "Behavioural equilibrium exchange rate and total misalignment: evidence from the euro exchange rate," Empirica, Springer, vol. 38(4), pages 555-578, November.
  6. Trenkler, Carsten, 2002. "The effects of ignoring level shifts on systems cointegration tests," SFB 373 Discussion Papers 2002,68, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  7. Minoas Koukouritakis & Athanasios Papadopoulos & Andreas Yannopoulos, 2013. "Transmission Effects in the Presence of Structural Breaks: Evidence from South-Eastern European Countries," Working Papers 1303, University of Crete, Department of Economics.
  8. Minoas Koukouritakis, 2010. "Structural breaks and the expectations hypothesis of the term structure: evidence from Central European countries," Review of World Economics (Weltwirtschaftliches Archiv), Springer, vol. 145(4), pages 757-774, January.
  9. Morshed, A.K.M. Mahbub & Ahn, Sung K. & Lee, Minsoo, 2006. "Price convergence among Indian cities: A cointegration approach," Journal of Asian Economics, Elsevier, vol. 17(6), pages 1030-1043, December.

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