Hepsag, Aycan (2017): New unit root tests with two smooth breaks and nonlinear adjustment.
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Abstract
This paper proposes new three unit root testing procedures which consider jointly for two structural breaks and nonlinear adjustment. The structural breaks are modelled by means of two logistic smooth transition functions and nonlinear adjustment is modelled by means of ESTAR models. The Monte Carlo experiments display that the empirical sizes of tests are quite close to the nominal ones and in terms of power; the three new unit root tests are superior to the alternative tests. An empirical application involving crude oil underlines the usefulness of the new unit root tests.
Item Type: | MPRA Paper |
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Original Title: | New unit root tests with two smooth breaks and nonlinear adjustment |
Language: | English |
Keywords: | Smooth breaks, nonlinearity, unit root, ESTAR |
Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C12 - Hypothesis Testing: General C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables > C22 - Time-Series Models ; Dynamic Quantile Regressions ; Dynamic Treatment Effect Models ; Diffusion Processes |
Item ID: | 83353 |
Depositing User: | Aycan Hepsag |
Date Deposited: | 20 Dec 2017 05:50 |
Last Modified: | 26 Sep 2019 17:48 |
References: | Abadir K. M., Distaso, W., 2007. Testing joint hypotheses when one of the alternatives is one-sided. Journal of Econometrics. 140, 695–718. Christopoulos, D., León-Ledesma, M.A., 2010. Smooth breaks and non-linear mean reversion: post-Bretton-Woods real exchange rates. Journal of International Money and Finance. 29, 1076–1093. Cuestas, J.C., Ordóñez, J., 2014. Smooth transitions, asymmetric adjustment and unit roots. Applied Economics Letters. 21, 969-972. Dickey, D.A., Fuller, W.A., 1979. Distribution of the estimators for autoregressive time Series with a unit root. Journal of the American Statistical Association. 84, 427-431. Harvey, D.I., Mills, T.C., 2002. Unit roots and double smooth transitions. Journal of Applied Statistics. 29, 675–683. Kapetanios, G., Shin, Y., Snell, A., 2003. Testing for a unit root in the nonlinear STAR framework. Journal of Econometrics. 112, 359-379. Kruse, R., 2011. A new unit root test against ESTAR based on a class of modified statistics. Statistical Papers. 52, 71-85. Lee, J., Strazicich, M.C., 2003. Minimum Lagrange multiplier unit root test with two structural breaks. The Review of Economics and Statistics. 85, 1082-1089. Leybourne, S., Newbold, P., Vougas, D. 1998. Unit roots and smooth transitions. Journal of Time Series Analysis. 19, 83–97. Lumsdaine, R.L., Papell, D.H. 1997. Multiple trend breaks and the unit-root hypothesis. Review of Economics and Statistics. 79, 212–218. Rothe, C., Sibbertsen, P., (2006) Phillips-Perron-type unit root tests in the nonlinear ESTAR framework. Allgemeines Stat Arch. 90, 439–456. Sollis, R., 2009. A simple unit root test against asymmetric STAR nonlinearity with an application to real exchange rates in Nordic countries. Economic modelling. 26, 118-125. Perron, P., 1989. The great crash, the oil price shock and the unit root hypothesis. Econometrica. 57, 1361–1401. Perron, P., Rodrı́guez, G., 2003. GLS detrending, efficient unit root tests and structural change, Journal of Econometrics. 115, 1–27. Zivot, E., Andrews, D.W. K., 1992. Further evidence on the Great Crash, the oil-price shock, and the unit-root hypothesis. Journal of Business and Economic Statistics. 10, 251–270. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/83353 |