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A Review Of Systems Cointegration Tests

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Author Info
Kirstin Hubrich
Helmut Lütkepohl
Pentti Saikkonen

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Abstract

The literature on systems cointegration tests is reviewed and the various sets of assumptions for the asymptotic validity of the tests are compared within a general unifying framework. The comparison includes likelihood ratio tests, Lagrange multiplier and Wald type tests, lag augmentation tests, tests based on canonical correlations, the Stock-Watson tests and Bierens' nonparametric tests. Asymptotic results regarding the power of these tests and previous small sample simulation studies are discussed. Further issues and proposals in the context of systems cointegration tests are also considered briefly. New simulations are presented to compare the tests under uniform conditions. Special emphasis is given to the sensitivity of the test performance with respect to the trending properties of the DGP.

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File URL: http://www.informaworld.com/openurl?genre=article&doi=10.1081/ETC-100104936&magic=repec&7C&7C8674ECAB8BB840C6AD35DC6213A474B5
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Article provided by Taylor and Francis Journals in its journal Econometric Reviews.

Volume (Year): 20 (2001)
Issue (Month): 3 ()
Pages: 247-318
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Handle: RePEc:taf:emetrv:v:20:y:2001:i:3:p:247-318

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Related research
Keywords: Systems cointegration tests; LR tests; Nonparametric tests; Asymptotic power; Small sample simulations;

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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.:
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    Other versions:
  2. Johansen, Soren & Juselius, Katarina, 1990. "Maximum Likelihood Estimation and Inference on Cointegration--With Applications to the Demand for Money," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 52(2), pages 169-210, May.
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  4. Boswijk, H. Peter & Lucas, Andr‚, 1997. "Semi-nonparametric cointegration testing," Serie Research Memoranda 0041, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics. [Downloadable!]
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  5. repec:cup:etheor:v:13:y:1997:i:2:p:149-69 is not listed on IDEAS
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  20. Snell, Andy, 1998. "Testing for r versus r-1 cointegrating vectors," Journal of Econometrics, Elsevier, vol. 88(1), pages 151-191, November. [Downloadable!] (restricted)
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  21. 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)
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Full references

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. Aktham Maghyereh, 2006. "The long-run relationship between stock returns and inflation in developing countries: further evidence from a nonparametric cointegration test," Applied Financial Economics Letters, Taylor and Francis Journals, vol. 2(4), pages 265-273, July. [Downloadable!] (restricted)
  2. Carsten Trenkler & Pentti Saikkonen & Helmut Luetkepohl, 2006. "Testing for the Cointegrating Rank of a VAR Process with Level Shift and Trend Break," Economics Working Papers ECO2006/29, European University Institute. [Downloadable!]
    Other versions:
  3. Matei Demetrescu & Helmut Luetkepohl & Pentti Saikkonen, 2008. "Testing for the Cointegrating Rank of a Vector Autoregressive Process with Uncertain Deterministic Trend Term," Economics Working Papers ECO2008/24, European University Institute. [Downloadable!]
  4. Ahlgren, Niklas & Nyblom, Jukka, 2003. "A General Test for the Cointegrating Rank in Vector Autoregressive Models," Working Papers 499, Hanken School of Economics.
  5. Helmut LÜTKEPOHL, 2004. "Recent Advances in Cointegration Analysis," Economics Working Papers ECO2004/12, European University Institute. [Downloadable!]
  6. David O. Cushman, 2003. "Further evidence on the size and power of the Bierens and Johansen cointegration procedures," Economics Bulletin, Economics Bulletin, vol. 3(25), pages 1-7. [Downloadable!]
  7. Helmut Luetkepohl, 2004. "Forecasting with VARMA Models," Economics Working Papers ECO2004/25, European University Institute. [Downloadable!]
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  8. C.K. Folkertsma & K. Hubrich, 2001. "Performance of core inflation measures," DNB Staff Reports (discontinued) 63, Netherlands Central Bank. [Downloadable!]
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  9. Carsten Trenkler, 2006. "Bootstrapping Systems Cointegration Tests with a Prior Adjustment for Deterministic Terms," SFB 649 Discussion Papers SFB649DP2006-012, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
    Other versions:
  10. Ulrike Neyer & Jürgen Wiemers, 2004. "The Influence of a Heterogeneous Banking Sector on the Interbank Market Rate in the Euro Area," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 140(III), pages 395-428, September. [Downloadable!]
  11. Ramazan Sari & Ugur Soytas, 2006. "Income and Education in Turkey: A Multivariate Analysis," Education Economics, Taylor and Francis Journals, vol. 14(2), pages 181-196, June. [Downloadable!] (restricted)
  12. H. Lütkepohl & P. Saikkonen & C. Trenkler, . "Maximum Eigenvalue Versus Trace Tests for the Cointegrating Rank of a VAR Process," Sonderforschungsbereich 373 2000-83, Humboldt Universitaet Berlin.
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  13. Ghazi Shukur, Panagiotis Mantalos, 2000. "A simple investigation of the Granger-causality test in integrated-cointegrated VAR systems," Journal of Applied Statistics, Taylor and Francis Journals, vol. 27(8), pages 1021-1031, November. [Downloadable!] (restricted)
  14. 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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  15. C. Müller & E. Hahn, . "Money Demand in Europe: Evidence from the Past," Sonderforschungsbereich 373 2000-35, Humboldt Universitaet Berlin.
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  16. Karel Mertens, 2006. "How the Removal of Deposit Rate Ceilings Has Changed Monetary Transmission in the US: Theory and Evidence," Economics Working Papers ECO2006/34, European University Institute. [Downloadable!]
  17. 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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  18. Carsten Trenkler, 2008. "Determining p-values for systems cointegration tests with a prior adjustment for deterministic terms," Computational Statistics, Springer, vol. 23(1), pages 19-39, January. [Downloadable!] (restricted)
  19. Pentti SAIKKONEN & Helmut LUETKEPOHL & Carsten TRENKLER, 2004. "Break Date Estimation and Cointegration Testing in VAR Processes with Level Shift," Economics Working Papers ECO2004/21, European University Institute. [Downloadable!]
  20. Hiroaki Chigira, 2005. "A Test of Cointegration Rank Based on Principal Component Analysis (revised, January 2006)," Hi-Stat Discussion Paper Series d05-126, Institute of Economic Research, Hitotsubashi University. [Downloadable!]
  21. Eiji Kurozumi & Yoichi Arai, 2006. "Test for the null hypothesis of cointegration with reduced size distortion," Hi-Stat Discussion Paper Series d06-190, Institute of Economic Research, Hitotsubashi University. [Downloadable!]
  22. K.S.E.M. Hubrich & P.J.G. Vlaar, 2000. "Germany and the euro area: differences in the transmission process of monetary policy," WO Research Memoranda (discontinued) 613, Netherlands Central Bank, Research Department. [Downloadable!]
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