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A simple cointegrating rank test without vector autoregression

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  • Shintani, Mototsugu

Abstract

This paper proposes a fully nonparametric test for cointegrating rank which does not require estimation of a vector autoregressive model. The test exploits the fact that the degeneracy in the moment matrix of the variables with mixed integration order corresponds to the notion of cointegration. With an appropriate standardization, the test statistics are shown to have a nuisance parameter free limiting distribution and to be consistent under reasonable conditions. Monte Carlo experiments also suggest that the performance of the test is satisfactory with a moderate sample size. The proposed tests are applied to the stochastic growth model using the U.S. aggregate data.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 105 (2001)
Issue (Month): 2 (December)
Pages: 337-362

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Handle: RePEc:eee:econom:v:105:y:2001:i:2:p:337-362

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Web page: http://www.elsevier.com/locate/jeconom

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References

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  5. repec:cup:etheor:v:13:y:1997:i:4:p:529-57 is not listed on IDEAS
  6. Chao, John C. & Phillips, Peter C. B., 1999. "Model selection in partially nonstationary vector autoregressive processes with reduced rank structure," Journal of Econometrics, Elsevier, vol. 91(2), pages 227-271, August.
  7. Bhargava, Alok, 1986. "On the Theory of Testing for Unit Roots in Observed Time Series," Review of Economic Studies, Wiley Blackwell, vol. 53(3), pages 369-84, July.
  8. Schmidt, Peter & Phillips, C B Peter, 1992. "LM Tests for a Unit Root in the Presence of Deterministic Trends," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 257-87, August.
  9. H. Lütkepohl & P. Saikkonen, 1997. "Testing for the Cointegrating Rank of a VAR Process with a Time Trend," SFB 373 Discussion Papers 1997,79, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
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Citations

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Cited by:
  1. Jorg Breitung & Gianluca Cubadda, 2009. "Testing for cointegration in high-dimensional systems," CEIS Research Paper 148, Tor Vergata University, CEIS, revised 30 Sep 2009.
  2. Mototsugu Shintani, 2006. "A nonparametric measure of convergence towards purchasing power parity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(5), pages 589-604.
  3. Morten Ørregaard Nielsen, 2009. "Nonparametric Cointegration Analysis of Fractional Systems With Unknown Integration Orders," CREATES Research Papers 2009-02, School of Economics and Management, University of Aarhus.
  4. Richard Fu & Marco Pagani, 2012. "On the cointegration of international stock indices," Journal of Economics and Finance, Springer, vol. 36(2), pages 463-480, April.
  5. Ye Cai & Mototsugu Shintani, 2005. "On the Long-Run Variance Ratio Test for a Unit Root," Vanderbilt University Department of Economics Working Papers 0506, Vanderbilt University Department of Economics.

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