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Some properties of a unit root test with multiple level shifts in the presence of Markov level shifts

  • Maki, Daiki
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    This paper investigates the small sample properties of a unit root test under the framework of multiple level shifts when time series variables are I(1) or I(0) processes with Markov level shifts. In order to investigate these properties, we introduce a unit root test with multiple level shifts. The introduced test assumes that the unspecified number of level shifts may be larger than two but smaller than or equal to the maximum number of level shifts set a priori. The Monte Carlo simulations demonstrate that the properties of size and power of the test strongly depend on the transition probability and the degree of level shifts for Markov processes. When the level shifts are frequent and substantial, the test with multiple shifts contains size distortions and has low power as compared with the Dickey–Fuller test and the test designed for a single level shift. On the other hand, when the level shifts are persistent and substantial, the test with multiple shifts performs better than the Dickey–Fuller test and that designed for a single level shift.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0378475408003133
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    Article provided by Elsevier in its journal Mathematics and Computers in Simulation (MATCOM).

    Volume (Year): 79 (2009)
    Issue (Month): 5 ()
    Pages: 1754-1760

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    Handle: RePEc:eee:matcom:v:79:y:2009:i:5:p:1754-1760
    Contact details of provider: Web page: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/

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    1. Garcia, R. & Perron, P., 1994. "An Analysis of the Real Interest rate Under Regime Shifts," Cahiers de recherche 9428, Universite de Montreal, Departement de sciences economiques.
    2. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
    3. Papell, David H. & Prodan, Ruxandra, 2006. "Additional Evidence of Long-Run Purchasing Power Parity with Restricted Structural Change," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(5), pages 1329-1349, August.
    4. Perron, P., 1989. "Testing For A Unit Root In A Time Series With A Changing Mean," Papers 347, Princeton, Department of Economics - Econometric Research Program.
    5. Perron, Pierre & Vogelsang, Timothy J, 1992. "Nonstationarity and Level Shifts with an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 301-20, July.
    6. Zacharias Psaradakis, 2001. "Markov level shifts and the unit-root hypothesis," Econometrics Journal, Royal Economic Society, vol. 4(2), pages 4.
    7. Clemente, Jesus & Montanes, Antonio & Reyes, Marcelo, 1998. "Testing for a unit root in variables with a double change in the mean," Economics Letters, Elsevier, vol. 59(2), pages 175-182, May.
    8. Robin L. Lumsdaine & David H. Papell, 1997. "Multiple Trend Breaks And The Unit-Root Hypothesis," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 212-218, May.
    9. Leybourne, Stephen J. & C. Mills, Terence & Newbold, Paul, 1998. "Spurious rejections by Dickey-Fuller tests in the presence of a break under the null," Journal of Econometrics, Elsevier, vol. 87(1), pages 191-203, August.
    10. 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, 01.
    11. Bodman, Philip M, 1998. "Asymmetry and Duration Dependence in Australian GDP and Unemployment," The Economic Record, The Economic Society of Australia, vol. 74(227), pages 399-411, December.
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