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Nearly Efficient Likelihood Ratio Tests of the Unit Root Hypothesis

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  • Michael Jansson

    ()
    (UC Berkeley and CREATES)

  • Morten Ørregaard Nielsen

    ()
    (Queen's University and CREATES)

Abstract

Seemingly absent from the arsenal of currently available "nearly efficient" testing procedures for the unit root hypothesis, i.e. tests whose asymptotic local power functions are virtually indistinguishable from the Gaussian power envelope, is a test admitting a (quasi-)likelihood ratio interpretation. We study the large sample properties of a quasi-likelihood ratio unit root test based on a Gaussian likelihood and show that this test is nearly efficient.

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File URL: http://www.econ.queensu.ca/working_papers/papers/qed_wp_1213.pdf
File Function: First version 2009
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Bibliographic Info

Paper provided by Queen's University, Department of Economics in its series Working Papers with number 1213.

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Length: 16 pages
Date of creation: Aug 2009
Date of revision:
Handle: RePEc:qed:wpaper:1213

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Keywords: Efficiency; likelihood ratio test; unit root hypothesis;

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References

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  1. Ulrich K. M¸ller & Graham Elliott, 2003. "Tests for Unit Roots and the Initial Condition," Econometrica, Econometric Society, vol. 71(4), pages 1269-1286, 07.
  2. repec:cup:cbooks:9780521496032 is not listed on IDEAS
  3. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-36, July.
  4. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-80, November.
  5. Phillips, Peter C B & Xiao, Zhijie, 1998. " A Primer on Unit Root Testing," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 423-69, December.
  6. Harvey, David I. & Leybourne, Stephen J. & Taylor, A.M. Robert, 2009. "Unit Root Testing In Practice: Dealing With Uncertainty Over The Trend And Initial Condition," Econometric Theory, Cambridge University Press, vol. 25(03), pages 587-636, June.
  7. Serena Ng & Pierre Perron, 1997. "Lag Length Selection and the Construction of Unit Root Tests with Good Size and Power," Boston College Working Papers in Economics 369, Boston College Department of Economics, revised 01 Sep 2000.
  8. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
  9. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-72, June.
  10. Michael Jansson, 2008. "Semiparametric Power Envelopes for Tests of the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 76(5), pages 1103-1142, 09.
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Citations

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Cited by:
  1. H. Peter Boswijk & Michael Jansson & Morten Ørregaard Nielsen, 2012. "Improved Likelihood Ratio Tests for Cointegration Rank in the VAR Model," CREATES Research Papers 2012-39, School of Economics and Management, University of Aarhus.
  2. Christensen, Bent Jesper & Kruse, Robinson & Sibbertsen, Philipp, 2013. "A unified framework for testing in the linear regression model under unknown order of fractional integration," Diskussionspapiere der Wirtschaftswissenschaftlichen Fakultät der Leibniz Universität Hannover dp-519, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  3. Joakim Westerlund, . "On the Asymptotic Distribution of the DF–GLS Test Statistic," Financial Econometics Series 2014_03, Deakin University, Faculty of Business and Law, School of Accounting, Economics and Finance.

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