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Finite Sample Performance of Likelihood Ratio Tests for Cointegrating Ranks in Vector Autoregressions

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Author Info
Toda, Hiro Y.
Abstract

This paper investigates through Monte Carlo simulation the finite sample properties of likelihood ratio tests for cointegrating ranks that were proposed by Johansen (1991, Econometrica 59, 1551 1580). We transform the model into a canonical form so that the experiment is well controlled without loss of generality and then conduct a comprehensive simulation study. As expected, the test performance is very sensitive to the value of the stationary root(s) of the process. We also find that the test performance depends crucially on the correlation between the innovations that drive the stationary and the nonstationary components of the process. We conclude that 100 observations are not sufficient to ensure reasonably good performance uniformly over the values of the nuisance parameters that affect the distributions of the test statistics.

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Publisher Info
Article provided by Cambridge University Press in its journal Econometric Theory.

Volume (Year): 11 (1995)
Issue (Month): 05 (October)
Pages: 1015-1032
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:cup:etheor:v:11:y:1995:i:05:p:1015-1032_00

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  1. Ahlgren, Niklas & Nyblom, Jukka, 2003. "A General Test for the Cointegrating Rank in Vector Autoregressive Models," Working Papers 499, Hanken School of Economics.
  2. H. L"Utkepohl & J. Breitung, . "Impulse Response Analysis of Vector Autoregressive Processes," Sonderforschungsbereich 373 1996-86, Humboldt Universitaet Berlin.
  3. Yoichi Matsubayashi & Shigeyuki Hamori, 2003. "Some international evidence on the stability of aggregate import demand function," Applied Economics, Taylor and Francis Journals, vol. 35(13), pages 1497-1504, September. [Downloadable!] (restricted)
  4. C.K. Folkertsma & K. Hubrich, 2000. "Performance of core inflation measures," WO Research Memoranda (discontinued) 639, Netherlands Central Bank, Research Department. [Downloadable!]
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  5. Godbout, M.J. & Van Norden, S., 1996. "Unit-Root Test and Excess Returns," Working Papers 96-10, Bank of Canada. [Downloadable!]
  6. Marie-Josée Godbout & Simon van Norden, 1997. "Reconsidering Cointegration in International Finance: Three Case Studies of Size Distortion in Finite Samples," Working Papers 97-1, Bank of Canada. [Downloadable!]
  7. M. Martin Boyer & Simon van Norden, 2006. "Exchange Rates and Order Flow in the Long Run," CIRANO Working Papers 2006s-07, CIRANO. [Downloadable!]
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  8. 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!]
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  9. Judith A. Giles & Sadaf Mirza, 1999. "Some Pretesting Issues on Testing for Granger Noncausality," Econometrics Working Papers 9914, Department of Economics, University of Victoria. [Downloadable!]
  10. Allan W. Gregory & Alfred A. Haug & Nicoletta Lomuto, 2004. "Mixed signals among tests for cointegration," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(1), pages 89-98. [Downloadable!]
  11. Mototsugu Shintani, 2000. "A Simple Cointegrating Rank Test Without Vector Autoregression," Working Papers 0044, Department of Economics, Vanderbilt University. [Downloadable!]
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  12. Bernd Droge & Deniz Dilan Karaman Örsal, 2009. "Panel Cointegration Testing in the Presence of a Time Trend," SFB 649 Discussion Papers SFB649DP2009-005, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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