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Further evidence on the size and power of the Bierens and Johansen cointegration procedures

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Author Info
David O. Cushman () (University of Saskatchewan)

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Abstract

Although both the Johansen (1991, 1994) trace test and Bierens (1997a,b) nonparametric lambda-min test for cointegration have good size properties in Monte Carlo studies by Hubrich, Lutkepohl, and Saikkonen (2001) and Boswijk, Lucas, and Taylor (2000), the Bierens test has very low power. In contrast, Bierens reports good power for his procedure. Meanwhile, Hubrich et al. and Boswijk et al. do not include Bierens' companion method for estimating the number of cointegrating vectors, nor do they investigate the effect of serial correlation on Bierens' test. In the present paper, inclusion of the estimation step does not significantly degrade size of the Bierens procedure, even with serial correlation, but power is not improved. Serial correlation does degrade the size of the Johansen test, but it remains superior. Analysis of Bierens' (1997b) Monte Carlo results suggests that their indication of high power reflects the test's lack of scale invariance.

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Publisher Info
Article provided by Economics Bulletin in its journal Economics Bulletin.

Volume (Year): 3 (2003)
Issue (Month): 25 ()
Pages: 1-7
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Handle: RePEc:ebl:ecbull:v:3:y:2003:i:25:p:1-7

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Related research
Keywords: Bierens nonparametric cointegration test; Johansen cointegration test; Monte Carlo;

Find related papers by JEL classification:
C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables

References listed on IDEAS
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  1. David O. Cushman, 2000. "The failure of the monetary exchange rate model for the Canadian-U.S. dollar," Canadian Journal of Economics, Canadian Economics Association, vol. 33(3), pages 591-603, August. [Downloadable!] (restricted)
  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.
  3. 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)
  4. Søren Johansen, 1994. "The role of the constant and linear terms in cointegration analysis of nonstationary variables," Econometric Reviews, Taylor and Francis Journals, vol. 13(2), pages 205-229. [Downloadable!] (restricted)
  5. Cushman, David O. & Sang Sub Lee & Thorgeirsson, Thorsteinn, 1996. "Maximum likelihood estimation of cointegration in exchange rate models for seven inflationary OECD countries," Journal of International Money and Finance, Elsevier, vol. 15(3), pages 337-368, June. [Downloadable!] (restricted)
  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)
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  7. Cheung, Yin-Wong & Lai, Kon S, 1993. "Finite-Sample Sizes of Johansen's Likelihood Ration Tests for Conintegration," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 55(3), pages 313-28, August.
  8. 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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