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New Improved Tests for Cointegration with Structural Breaks

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  • Joakim Westerlund
  • David L. Edgerton

Abstract

This article proposes Lagrange multiplier-based tests for the null hypothesis of no cointegration. The tests are general enough to allow for heteroskedastic and serially correlated errors, deterministic trends, and a structural break of unknown timing in both the intercept and slope. The limiting distributions of the test statistics are derived, and are found to be invariant not only with respect to the trend and structural break, but also with respect to the regressors. A small Monte Carlo study is also conducted to investigate the small-sample properties of the tests. The results reveal that the tests have small size distortions and good power relative to other tests. Copyright 2007 The Authors Journal compilation 2007 Blackwell Publishing Ltd.

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Bibliographic Info

Article provided by Wiley Blackwell in its journal Journal of Time Series Analysis.

Volume (Year): 28 (2007)
Issue (Month): 2 (03)
Pages: 188-224

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Handle: RePEc:bla:jtsera:v:28:y:2007:i:2:p:188-224

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Web page: http://www.blackwellpublishing.com/journal.asp?ref=0143-9782

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References

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  1. Jushan Bai, 1995. "Estimating Multiple Breaks One at a Time," Working papers 95-18, Massachusetts Institute of Technology (MIT), Department of Economics.
  2. Josep Lluís Carrion-i-Silvestre & Andreu Sansó, 2006. "Testing the Null of Cointegration with Structural Breaks," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(5), pages 623-646, October.
  3. Allan w. Gregory & Bruce E. Hansen, 1992. "residual-Based Tests for Cointegration in Models with Regime Shifts," Working Papers 862, Queen's University, Department of Economics.
  4. Campbell, J.Y. & Perron, P., 1991. "Pitfalls and Opportunities: What Macroeconomics should know about unit roots," Papers 360, Princeton, Department of Economics - Econometric Research Program.
  5. Perron, P. & Bai, J., 1995. "Estimating and Testing Linear Models with Multiple Structural Changes," Cahiers de recherche 9552, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  6. Fabio Busetti & Andrew C Harvey, 1998. "Testing for the Presence of a Random Walk in Series with Structural Breaks - (Now published in Journal of Time Series Analysis, 22 (2001), pp.127-150.)," STICERD - Econometrics Paper Series /1998/365, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  7. Schmidt, Peter & Lee, Junsoo, 1991. "A modification of the Schmidt-Phillips unit root test," Economics Letters, Elsevier, vol. 36(3), pages 285-289, July.
  8. 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.
  9. Haug, A.A., 1992. "Tests for Cointegration: A Monte Carlo Comparison," Papers 93-2, York (Canada) - Department of Economics.
  10. 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.
  11. Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-76, March.
  12. 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.
  13. 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.
  14. repec:cup:etheor:v:13:y:1997:i:3:p:315-52 is not listed on IDEAS
  15. 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.
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Citations

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Cited by:
  1. Westerlund, Joakim, 2006. "Panel Cointegration Tests of the Fisher Effect," Research Memorandum 054, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  2. Richard Crump & Gopi Shah Goda & Kevin Mumford, 2010. "Fertility and the Personal Exemption: Comment," NBER Working Papers 15984, National Bureau of Economic Research, Inc.
  3. repec:hal:wpaper:halshs-00564897 is not listed on IDEAS
  4. Cortes, Maria, 2007. "Examining Patterns of Bilateral Trade between Australia and Colombia by Using Cointegration Analysis and Error-Correction Models," Economics Working Papers wp07-20, School of Economics, University of Wollongong, NSW, Australia.
  5. Joakim Westerlund, 2008. "Panel cointegration tests of the Fisher effect," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(2), pages 193-233.
  6. Yasemin Barlas Ozer & Kam-Ki Tang, . "An Empirical Analysis of Financial and Housing Wealth Effects on Consumption in Turkey," MRG Discussion Paper Series 2809, School of Economics, University of Queensland, Australia.
  7. Maki, Daiki, 2012. "Tests for cointegration allowing for an unknown number of breaks," Economic Modelling, Elsevier, vol. 29(5), pages 2011-2015.
  8. Westerlund, Joakim & Edgerton, David, 2006. "Simple Tests for Cointegration in Dependent Panels with Structural Breaks," Working Papers 2006:13, Lund University, Department of Economics, revised 28 Jan 2007.
  9. Westerlund, Joakim, 2009. "Testing for Unit Roots in Panel Time Series Models with Multiple Breaks," Working Papers in Economics 384, University of Gothenburg, Department of Economics.
  10. Matteo Mogliani, 2010. "Residual-based tests for cointegration and multiple deterministic structural breaks: A Monte Carlo study," PSE Working Papers halshs-00564897, HAL.
  11. Westerlund, Joakim, 2013. "Simple unit root testing in generally trending data with an application to precious metal prices in Asia," Journal of Asian Economics, Elsevier, vol. 28(C), pages 12-27.

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