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Determining p-values for Systems Cointegration Tests With a Prior Adjustment for Deterministic Terms

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  • Trenkler, Carsten

Abstract

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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Bibliographic Info

Paper provided by Humboldt-Universität Berlin, Center for Applied Statistics and Economics (CASE) in its series Papers with number 2004,37.

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Date of creation: 2004
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Handle: RePEc:zbw:caseps:200437

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Keywords: p-values; systems cointegration tests; response surface;

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References

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  1. Casten TRENKLER, 2003. "A New Set of Critical Values for Systems Cointegration Tests with a Prior Adjustment for Deterministic Terms," Economics Working Papers ECO2003/07, European University Institute.
  2. 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.
  3. repec:ebl:ecbull:v:3:y:2003:i:11:p:1-9 is not listed on IDEAS
  4. Bent Nielsen & Soren Johansen and Rocco Mosconi, 2000. "Cointegration analysis in the presence of structural breaks in the deterministic trend," Economics Series Working Papers 2000-W22, University of Oxford, Department of Economics.
  5. 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.
  6. Doornik, Jurgen A, 1998. " Approximations to the Asymptotic Distributions of Cointegration Tests," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 573-93, December.
  7. 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.
  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. Saikkonen, Pentti & Luukkonen, Ritva, 1997. "Testing cointegration in infinite order vector autoregressive processes," Journal of Econometrics, Elsevier, vol. 81(1), pages 93-126, November.
  10. repec:wop:humbsf:2001-63 is not listed on IDEAS
  11. 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.
  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. 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.
  14. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501, September.
  15. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
  16. 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.
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