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A Nonlinear Unit Root Test in the Presence of an Unknown Break

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  • Stephan Popp

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    Abstract

    The Perron test is the most commonly applied procedure to test for a unit root in the presence of a structural break of unknown timing in the trend function. Deriving the Perron-type test regression from an unobserved component model, it is shown that the test regression in fact is nonlinear in coefficient. Taking account of the nonlinearity leads to a test with properties that are exclusively assigned to Schmidt-Phillips LM-type unit root tests.

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    File URL: http://repec.rwi-essen.de/files/REP_08_045.pdf
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    Bibliographic Info

    Paper provided by Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen in its series Ruhr Economic Papers with number 0045.

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    Length: 26 pages
    Date of creation: May 2008
    Date of revision:
    Handle: RePEc:rwi:repape:0045

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    Related research

    Keywords: Unit root tests; nonlinear regression; structural breaks; innovational outliers;

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    References

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    1. Wojciech Charemza & Daniela Hristova & Peter Burridge, 2005. "Is inflation stationary?," Applied Economics, Taylor & Francis Journals, vol. 37(8), pages 901-903.
    2. James G. MacKinnon, 2010. "Critical Values for Cointegration Tests," Working Papers 1227, Queen's University, Department of Economics.
    3. 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.
    4. Vogelsang, T.I. & Perron, P., 1991. "Nonstationary and Level Shifts With An Application To Purchasing Power Parity," Papers 359, Princeton, Department of Economics - Econometric Research Program.
    5. Perron, Pierre, 1990. "Testing for a Unit Root in a Time Series with a Changing Mean," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 153-62, April.
    6. Lee, Junsoo & Amsler, Christine, 1997. "A joint test for a unit root and common factor restrictions in the presence of a structural break," Structural Change and Economic Dynamics, Elsevier, vol. 8(2), pages 221-232, June.
    7. Vogelsang, Timothy J & Perron, Pierre, 1998. "Additional Tests for a Unit Root Allowing for a Break in the Trend Function at an Unknown Time," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 1073-1100, November.
    8. Lee, Hsiu-Yun & Wu, Jyh-Lin, 2001. "Mean Reversion of Inflation Rates: Evidence from 13 OECD Countries," Journal of Macroeconomics, Elsevier, vol. 23(3), pages 477-487, July.
    9. Chou, Win Lin, 2007. "Performance of LM-type unit root tests with trend break: A bootstrap approach," Economics Letters, Elsevier, vol. 94(1), pages 76-82, January.
    10. Franses, Ph.H.B.F. & Ooms, M. & Bos, C.S., 1998. "Long memory and level shifts: re-analysing inflation rates," Econometric Institute Research Papers EI 9811, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    11. Culver, Sarah E & Papell, David H, 1997. "Is There a Unit Root in the Inflation Rate? Evidence from Sequential Break and Panel Data Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(4), pages 435-44, July-Aug..
    12. 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.
    13. Lanne, Markku & Lütkepohl, Helmut & Saikkonen, Pentti, 2001. "Test procedures for unit roots in time series with level shifts at unknown time," SFB 373 Discussion Papers 2001,39, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    14. 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.
    15. 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, 06.
    16. 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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    Cited by:
    1. Shanthini, Rajaratnam, 2007. "Fossil fuel based CO2 emissions, economic growth, and world crude oil price nexus in the United States," MPRA Paper 29574, University Library of Munich, Germany, revised 19 Feb 2011.

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