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New Improved Tests for Cointegration with Structural Breaks

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Author Info
Joakim Westerlund
David L. Edgerton

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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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File URL: http://www.blackwell-synergy.com/doi/abs/10.1111/j.1467-9892.2006.00504.x
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Publisher Info
Article provided by Blackwell Publishing 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 listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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.
    Other versions:
  2. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know About Unit Roots," NBER Chapters, in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220 National Bureau of Economic Research, Inc. [Downloadable!]
    Other versions:
  3. Bai, Jushan, 1997. "Estimating Multiple Breaks One at a Time," Econometric Theory, Cambridge University Press, vol. 13(03), pages 315-352, June. [Downloadable!]
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  4. 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. [Downloadable!] (restricted)
  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. 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. [Downloadable!]
  7. Zivot, Eric & Andrews, Donald W K, 1992. "Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 251-70, July.
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  8. Haug, Alfred A., 1996. "Tests for cointegration a Monte Carlo comparison," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 89-115. [Downloadable!] (restricted)
  9. Schmidt, Peter & Lee, Junsoo, 1991. "A modification of the Schmidt-Phillips unit root test," Economics Letters, Elsevier, vol. 36(3), pages 285-289, July. [Downloadable!] (restricted)
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  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. 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. [Downloadable!] (restricted)
  12. repec:cup:etheor:v:13:y:1997:i:3:p:315-52 is not listed on IDEAS
  13. Josep Lluís Carrion-i-Silvestre & Andreu Sansó, 2005. "Testing the Null of Cointegration with Structural Breaks," DEA Working Papers 10, Universitat de les Illes Balears, Departament d'Economía Aplicada. [Downloadable!]
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  14. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
    Other versions:
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. 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. [Downloadable!]
  2. 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.
  3. Yasemin Barlas Ozer & Kam-Ki Tang, . "This paper investigates the financial and housing wealth effects on aggregate private consumption in Turkey for the period 1987-2007. Given the lack of data, the study proposes an innovative method to," MRG Discussion Paper Series 2809, School of Economics, University of Queensland, Australia. [Downloadable!]
  4. Joakim Westerlund, 2008. "Panel cointegration tests of the Fisher effect," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(2), pages 193-233. [Downloadable!]
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This page was last updated on 2009-11-22.


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