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Minimum LM unit root test with one structural break

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Author Info

  • Junsoo Lee

    ()
    (University of Alabama)

  • Mark C. Strazicich

    ()
    (Appalachian State University)

Abstract

In this paper, we consider the minimum Lagrange Multiplier (LM) unit root test with one structural break in intercept and trend. This paper complements the earlier work of Lee and Strazicich (2003), who consider the minimum LM unit root test with two breaks. The asymptotic properties are derived, critical values are provided, and size and power properties are examined. The one-break minimum LM unit root test is valid in the presence of a break under the null and alternative hypotheses and is free of spurious rejections.

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File URL: http://www.accessecon.com/Pubs/EB/2013/Volume33/EB-13-V33-I4-P234.pdf
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Bibliographic Info

Article provided by AccessEcon in its journal Economics Bulletin.

Volume (Year): 33 (2013)
Issue (Month): 4 ()
Pages: 2483-2492

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Handle: RePEc:ebl:ecbull:eb-13-00296

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Keywords: Lagrange Multiplier; Unit Root Test; Structural Break; and Endogenous Break;

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References

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  1. Luís Catela Nunes & Paulo M.M. Rodrigues, 2009. "On LM-Type Tests for Seasonal Unit Roots in the Presence of a Break in Trend," Working Papers w200920, Banco de Portugal, Economics and Research Department.
  2. Zivot, Eric & Andrews, Donald W K, 2002. "Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 25-44, January.
  3. Amsler, Christine & Lee, Junsoo, 1995. "An LM Test for a Unit Root in the Presence of a Structural Change," Econometric Theory, Cambridge University Press, vol. 11(02), pages 359-368, February.
  4. repec:cup:etheor:v:11:y:1995:i:2:p:359-68 is not listed on IDEAS
  5. Nunes, Luis C & Newbold, Paul & Kuan, Chung-Ming, 1997. "Testing for Unit Roots with Breaks: Evidence on the Great Crash and the Unit Root Hypothesis Reconsidered," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(4), pages 435-48, November.
  6. Peter C.B. Phillips & Pierre Perron, 1986. "Testing for a Unit Root in Time Series Regression," Cowles Foundation Discussion Papers 795R, Cowles Foundation for Research in Economics, Yale University, revised Sep 1987.
  7. Perron, P., 1990. "Further Evidence On Breaking Trend Functions In Macroeconomics Variables," Papers 350, Princeton, Department of Economics - Econometric Research Program.
  8. Harvey, David I & Leybourne, Stephen J & Newbold, Paul, 2001. " Innovational Outlier Unit Root Tests with an Endogenously Determined Break in Level," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 63(5), pages 559-75, December.
  9. Vogelsang, T.J. & Perron, P., 1994. "Additional Tests for a Unit Root Allowing for a Break in the Trend Function at an Unknown Time," Cahiers de recherche 9422, Universite de Montreal, Departement de sciences economiques.
  10. Lee, Junsoo & Strazicich, Mark C, 2001. " Break Point Estimation and Spurious Rejections with Endogenous Unit Root Tests," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 63(5), pages 535-58, December.
  11. Uwe Hassler & Paulo M. M. Rodrigues, 2004. "Seasonal Unit Root Tests Under Structural Breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 25(1), pages 33-53, 01.
  12. Joseph P. Byrne & Roger Perman, 2006. "Unit Roots and Structural Breaks: A Survey of the Literature," Working Papers 2006_10, Business School - Economics, University of Glasgow.
  13. 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.
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