Some properties of a unit root test with multiple level shifts in the presence of Markov level shifts
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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Volume (Year): 79 (2009)
Issue (Month): 5 ()
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- 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.
- Garcia, Rene & Perron, Pierre, 1996. "An Analysis of the Real Interest Rate under Regime Shifts," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 111-25, February.
- Garcia, R. & Perron, P., 1990. "An Anlysis Of The Real Interest Rate Under Regime Shifts," Papers 353, Princeton, Department of Economics - Econometric Research Program.
- Garcia, R. & Perron, P., 1994. "An Analysis of the Real Interest rate Under Regime Shifts," Cahiers de recherche 9428, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- René Garcia & Pierre Perron, 1995. "An Analysis of the Real Interest Rate Under Regime Shifts," CIRANO Working Papers 95s-05, CIRANO.
- Jushan Bai & Pierre Perron, 1998.
"Estimating and Testing Linear Models with Multiple Structural Changes,"
Econometric Society, vol. 66(1), pages 47-78, January.
- 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.
- Perron, P. & Bai, J., 1995. "Estimating and Testing Linear Models with Multiple Structural Changes," Cahiers de recherche 9552, Universite de Montreal, Departement de sciences economiques.
- 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.
- Tom Doan, . "RATS programs to replicate Papell and Prodan one and two break unit root tests," Statistical Software Components RTZ00130, Boston College Department of Economics.
- Perron, P., 1989.
"Testing For A Unit Root In A Time Series With A Changing Mean,"
347, Princeton, Department of Economics - Econometric Research Program.
- 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.
- 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.
- 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.
- Zacharias Psaradakis, 2001. "Markov level shifts and the unit-root hypothesis," Econometrics Journal, Royal Economic Society, vol. 4(2), pages 4.
- 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.
- 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.
- Tom Doan, . "LPUNIT: RATS procedure to implement Lumsdaine-Papell unit root test with structural breaks," Statistical Software Components RTS00110, Boston College Department of Economics.
- 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.
- 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.
- 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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