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Bootstrapping Systems Cointegration Tests with a Prior Adjustment for Deterministic Terms

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Author Info
Carsten Trenkler

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Abstract

In this paper we analyse bootstrap procedures for systems cointegration tests with a prior adjustment for deterministic terms suggested by Saikkonen & Lütkepohl (2000b) and Saikkonen, Lütkepohl & Trenkler (2006). The asymptotic properties of the bootstrap test procedures are derived and their small sample properties are studied. The simulation study also considers the standard asymptotic test versions and the Johansen cointegration test for comparison.

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Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2006-012.

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Length: 54 pages
Date of creation: Feb 2006
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Handle: RePEc:hum:wpaper:sfb649dp2006-012

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Related research
Keywords: Bootstrap; Systems cointegration tests; VEC models;

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Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Statistical Simulation Methods
C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions

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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.:
  1. Russell Davidson & James G. MacKinnon, 2001. "Bootstrap Tests: How Many Bootstraps?," Working Papers 1036, Queen's University, Department of Economics. [Downloadable!]
    Other versions:
  2. 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. [Downloadable!] (restricted)
  3. 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. [Downloadable!] (restricted)
  4. W. Härdle & J. Horowitz & J.-P. Kreiss, . "Bootstrap Methods For Time Series," Sonderforschungsbereich 373 2001-59, Humboldt Universitaet Berlin.
  5. Davidson, Russell & MacKinnon, James G., 2006. "The power of bootstrap and asymptotic tests," Journal of Econometrics, Elsevier, vol. 133(2), pages 421-441, August. [Downloadable!] (restricted)
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  6. Kirstin Hubrich & Helmut Lütkepohl & Pentti Saikkonen, 2001. "A Review Of Systems Cointegration Tests," Econometric Reviews, Taylor and Francis Journals, vol. 20(3), pages 247-318. [Downloadable!] (restricted)
    Other versions:
  7. Park, Joon Y., 2002. "An Invariance Principle For Sieve Bootstrap In Time Series," Econometric Theory, Cambridge University Press, vol. 18(02), pages 469-490, April. [Downloadable!]
  8. 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. [Downloadable!]
  9. Saikkonen, Pentti & L tkepohl, Helmut & Trenkler, Carsten, 2006. "Break Date Estimation For Var Processes With Level Shift With An Application To Cointegration Testing," Econometric Theory, Cambridge University Press, vol. 22(01), pages 15-68, February. [Downloadable!]
  10. Paruolo, Paolo, 2001. " The Power of Lambda Max," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 63(3), pages 395-403, July. [Downloadable!] (restricted)
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  11. Joon Y. Park, 2003. "Bootstrap Unit Root Tests," Econometrica, Econometric Society, vol. 71(6), pages 1845-1895, November. [Downloadable!] (restricted)
  12. James G. MacKinnon, 2002. "Bootstrap inference in econometrics," Canadian Journal of Economics, Canadian Economics Association, vol. 35(4), pages 615-645, November. [Downloadable!] (restricted)
  13. 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)
  14. repec:cup:etheor:v:11:y:1995:i:5:p:1015-32 is not listed on IDEAS
  15. Efstathios Paparoditis & Dimitris N. Politis, 2003. "Residual-Based Block Bootstrap for Unit Root Testing," Econometrica, Econometric Society, vol. 71(3), pages 813-855, 05. [Downloadable!] (restricted)
  16. Doornik, Jurgen A, 1998. " Approximations to the Asymptotic Distributions of Cointegration Tests," Journal of Economic Surveys, Blackwell Publishing, vol. 12(5), pages 573-93, December. [Downloadable!] (restricted)
  17. Yoosoon Chang & Joon Y. Park, 2003. "A Sieve Bootstrap For The Test Of A Unit Root," Journal of Time Series Analysis, Blackwell Publishing, vol. 24(4), pages 379-400, 07. [Downloadable!] (restricted)
  18. Anders Rahbek & Rocco Mosconi, 1999. "Cointegration rank inference with stationary regressors in VAR models," Econometrics Journal, Royal Economic Society, vol. 2(1), pages 76-91.
  19. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254. [Downloadable!] (restricted)
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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.)

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  2. Dominique Demougin & Anja Schöttner, 2006. "Technological Choice under Organizational Diseconomies of Scale," SFB 649 Discussion Papers SFB649DP2006-028, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  3. Matthias Paustian & Christian Stoltenberg, 2006. "Optimal Interest Rate Stabilization in a Basic Sticky-Price Model," SFB 649 Discussion Papers SFB649DP2006-072, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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  5. Denis Belomestny & Markus Reiß, 2006. "Spectral calibration of exponential Lévy Models [1]," SFB 649 Discussion Papers SFB649DP2006-034, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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  6. 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)
  7. Kai Detlefsen & Wolfgang Härdle, 2006. "Forecasting the Term Structure of Variance Swaps," SFB 649 Discussion Papers SFB649DP2006-052, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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  11. Giuseppe Cavaliere & Anders Rahbek & A.M.Robert Taylor, 2009. "Co-integration Rank Testing under Conditional Heteroskedasticity," CREATES Research Papers 2009-22, School of Economics and Management, University of Aarhus. [Downloadable!]
  12. Palm, Franz C. & Smeekes, Stephan & Urbain, Jean-Pierre, 2007. "A Sieve Bootstrap Test for Cointegration in a Conditional Error Correction Model," Research Memoranda 054, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
  13. Deniz Dilan Karaman Örsal, 2008. "Comparison of Panel Cointegration Tests," Economics Bulletin, Economics Bulletin, vol. 3(6), pages 1-20. [Downloadable!]
    Other versions:
  14. Carsten Trenkler & Pentti Saikkonen & Helmut Lütkepohl, 2006. "Testing for the Cointegrating Rank of a VAR Process with Level Shift and Trend Break," SFB 649 Discussion Papers SFB649DP2006-067, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
    Other versions:
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