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Determining p-values for systems cointegration tests with a prior adjustment for deterministic terms

  • Carsten Trenkler

    ()

In this paper I present a procedure to approximate the asymptotic distributions of systems cointegration tests with a prior adjustment for deterministic terms suggested by Lütkepohl, Saikkonen & Trenkler (2004), Saikkonen & Lütkepohl (2000a, 2000b, 2000c), and Saikkonen & Luukkonen (1997). The asymptotic distributions are approximated by the Gamma distribution and the parameters necessary to fit the Gamma distributions are obtained from response surfaces which I describe in this paper. The approximation can be easily used to derive arbitrary p-values or percentiles.

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File URL: http://hdl.handle.net/10.1007/s00180-007-0066-8
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Article provided by Springer in its journal Computational Statistics.

Volume (Year): 23 (2008)
Issue (Month): 1 (January)
Pages: 19-39

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Handle: RePEc:spr:compst:v:23:y:2008:i:1:p:19-39
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  1. Hubrich, Kirstin & Lütkepohl, Helmut & Saikkonen, Pentti, 1998. "A review of systemscointegration tests," SFB 373 Discussion Papers 1998,101, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  2. Carsten Trenkler, 2003. "A new set of critical values for systems cointegration tests with a prior adjustment for deterministic terms," Economics Bulletin, AccessEcon, vol. 3(11), pages 1-9.
  3. 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.
  4. Saikkonen, Pentti & Lütkepohl, Helmut, 1998. "Testing for the cointegrating rank of a VAR process with an intercept," SFB 373 Discussion Papers 1998,51, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  5. Trenkler, Carsten, 2009. "Bootstrapping Systems Cointegration Tests With A Prior Adjustment For Deterministic Terms," Econometric Theory, Cambridge University Press, vol. 25(01), pages 243-269, February.
  6. Saikkonen, Pentti & Luukkonen, Ritva, 1997. "Testing cointegration in infinite order vector autoregressive processes," Journal of Econometrics, Elsevier, vol. 81(1), pages 93-126, November.
  7. Jurgen A. Doornik, 1998. "Approximations To The Asymptotic Distributions Of Cointegration Tests," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 573-593, December.
  8. Lütkepohl, Helmut & Saikkonen, Pentti & Trenkler, Carsten, 2000. "Maximum eigenvalue versus trace tests for the cointegrating rank of a VAR process," SFB 373 Discussion Papers 2000,83, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  9. repec:ebl:ecbull:v:3:y:2003:i:11:p:1-9 is not listed on IDEAS
  10. van Giersbergen, Noud P A, 1996. "Bootstrapping the Trace Statistic in VAR Models: Monte Carlo Results and Applications," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 58(2), pages 391-408, May.
  11. James G. MacKinnon & Alfred A. Haug & Leo Michelis, 1996. "Numerical Distribution Functions of Likelihood Ratio Tests for Cointegration," Working Papers 1996_07, York University, Department of Economics.
  12. Lütkepohl, Helmut & Saikkonen, Pentti & Trenkler, Carsten, 2001. "Testing for the cointegrating rank of a VAR process with level shift at unknown time," SFB 373 Discussion Papers 2001,63, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  13. Harris, R. I. D. & Judge, G., 1998. "Small sample testing for cointegration using the bootstrap approach," Economics Letters, Elsevier, vol. 58(1), pages 31-37, January.
  14. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
  15. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501, March.
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