Unit Root Tests in Three-Regime SETAR Models
AbstractThis paper proposes a simple direct testing procedure to distinguish a linear unit root process from a globally stationary three-regime self-exciting threshold autoregressive process. We derive the asymptotic null distribution of the Wald statistic, and show that it does not depend on unknown fixed threshold values. Monte Carlo evidence clearly indicates that the exponential average of the Wald statistic is more powerful than the Dickey-Fuller test that ignores the threshold nature under the alternative.
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Bibliographic InfoPaper provided by Queen Mary, University of London, School of Economics and Finance in its series Working Papers with number 465.
Date of creation: Nov 2002
Date of revision:
Self-exciting threshold autoregressive models; Unit roots; Globally stationary processes; Threshold cointegration; Wald tests; Monte Carlo simulations; Real exchange rates;
Find related papers by JEL classification:
- C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
This paper has been announced in the following NEP Reports:
- NEP-ALL-2002-12-02 (All new papers)
- NEP-ECM-2002-12-10 (Econometrics)
- NEP-ETS-2002-12-02 (Econometric Time Series)
- NEP-IFN-2002-12-02 (International Finance)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Pippenger, Michael K & Goering, Gregory E, 1993. "A Note on the Empirical Power of Unit Root Tests under Threshold Processes," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 55(4), pages 473-81, November.
- Michael, Panos & Nobay, A Robert & Peel, David A, 1997.
"Transactions Costs and Nonlinear Adjustment in Real Exchange Rates: An Empirical Investigation,"
Journal of Political Economy,
University of Chicago Press, vol. 105(4), pages 862-79, August.
- Tom Doan, . "RATS programs to replicate Michael-Nobay-Peel ESTAR models," Statistical Software Components RTZ00113, Boston College Department of Economics.
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