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Testing for Unit Roots in Panel Time Series Models with Multiple Breaks

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  • Westerlund, Joakim

    () (Department of Economics, School of Business, Economics and Law, Göteborg University)

Abstract

This paper proposes two new unit root tests that are appropriate in the presence of an unknown number of structural breaks. One is based on a single time series and the other is based on a panel of multiple series. For the estimation of the number of breaks and their locations, a simple procedure based on outlier detection is proposed. The limiting distributions of the tests are derived and evaluated in small samples using simulation experiments. The implementation of the tests is illustrated using as an example purchasing power parity.

Suggested Citation

  • 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.
  • Handle: RePEc:hhs:gunwpe:0384
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    File URL: http://hdl.handle.net/2077/21152
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    References listed on IDEAS

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    1. Pierre Perron & Gabriel RodrÌguez, 2003. "Searching For Additive Outliers In Nonstationary Time Series," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(2), pages 193-220, March.
    2. Papell, David H. & Theodoridis, Hristos, 1998. "Increasing evidence of purchasing power parity over the current float," Journal of International Money and Finance, Elsevier, vol. 17(1), pages 41-50, February.
    3. M. Hashem Pesaran, 2007. "A simple panel unit root test in the presence of cross-section dependence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 265-312.
    4. Gadea, Maria-Dolores & Montanes, Antonio & Reyes, Marcelo, 2004. "The European Union currencies and the US dollar: from post-Bretton-Woods to the Euro," Journal of International Money and Finance, Elsevier, vol. 23(7-8), pages 1109-1136.
    5. 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.
    6. Joakim Westerlund & David L. Edgerton, 2007. "New Improved Tests for Cointegration with Structural Breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 28(2), pages 188-224, March.
    7. 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.
    8. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    9. Choi, Chi-Young, 2004. "Searching for evidence of long-run PPP from a post-Bretton Woods panel: separating the wheat from the chaff," Journal of International Money and Finance, Elsevier, vol. 23(7-8), pages 1159-1186.
    10. Hegwood, Natalie D & Papell, David H, 1998. "Quasi Purchasing Power Parity," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 3(4), pages 279-289, October.
    11. Choi, In, 2001. "Unit root tests for panel data," Journal of International Money and Finance, Elsevier, vol. 20(2), pages 249-272, April.
    12. Chareka, Patrick & Matarise, Florance & Turner, Rolf, 2006. "A test for additive outliers applicable to long-memory time series," Journal of Economic Dynamics and Control, Elsevier, vol. 30(4), pages 595-621, April.
    13. Kyung-So Im & Junsoo Lee & Margie Tieslau, 2005. "Panel LM Unit-root Tests with Level Shifts," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(3), pages 393-419, June.
    14. George Kapetanios, 2005. "Unit-root testing against the alternative hypothesis of up to m structural breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 26(1), pages 123-133, January.
    15. 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 257-287, August.
    16. Sabate, Marcela & Gadea, Maria Dolores & Serrano, Jose Maria, 2003. "PPP and structural breaks. The peseta-sterling rate, 50 years of a floating regime," Journal of International Money and Finance, Elsevier, vol. 22(5), pages 613-627, October.
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    More about this item

    Keywords

    Unit root test; Structural break; Outlier detection; Common factor; Purchasing power parity;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • F31 - International Economics - - International Finance - - - Foreign Exchange

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