A unit root test using a fourier series to approximate smooth breaks

Oxford Bulletin of Economics and Statistics

Volumn 74, Issue 4, 2012, Pages 574-599

  Enders, Walter ^a   Lee, Junsoo ^a  

^a UNIVERSITY OF ALABAMA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84863538034     PISSN: 03059049     EISSN: 14680084     Source Type: Journal    
DOI: 10.1111/j.1468-0084.2011.00662.x     Document Type: Article

References (20)

1. Amsler, C. and Lee, J. (1995). 'An LM test for a unit root in the presence of a structural change', Econometric Theory, Vol. 11, pp. 359-368.
2. Bai, J. and Perron, P. (1998). 'Estimating and testing linear models with multiple structural changes', Econometrica, Vol. 66, pp. 47-78.
3. Becker, R., Enders, W. and Hurn, S. (2004). 'A general test for time dependence in parameters', Journal of Applied Econometrics, Vol. 19, pp. 899-906.
4. Becker, R., Enders, W. and Lee, J. (2006). 'A stationary test with an unknown number of smooth breaks', Journal of Time Series Analysis, Vol. 27, pp. 381-409.
5. Bierens, H. (1997). 'Testing for a unit root with drift hypothesis against nonlinear trend stationarity, with an application to the US price level and interest rate', Journal of Econometrics, Vol. 81, pp. 29-64.
6. Davies, R. B. (1987). 'Hypothesis testing when a nuisance parameter is only identified under the Alternative', Biometrika, Vol. 47, pp. 33-43.
7. Enders, W. and Granger, C. (1998). 'Unit-toot tests and asymmetric adjustment with an example using the term structure of interest rates', Journal of Business and Economic Statistics, Vol. 16, pp. 304-311.
8. Gallant, A. R. (1981). 'On the bias in flexible functional forms and an essentially unbiased form: the flexible Fourier form', Journal of Econometrics, Vol. 15, pp. 211-245.
9. Gallant, R. and Souza, G. (1991). 'On the asymptotic normality of Fourier flexible form estimates', Journal of Econometrics, Vol. 50, pp. 329-353.
10. Hansen, B. (1997). 'Inference in TAR models', Studies in Nonlinear Dynamics and Econometrics, Vol. 2, pp. 1-14.
11. Harvey, D., Leybourne, S. and Xiao, L. (2010). 'Testing for nonlinear deterministic components when the order of integration is unknown', Journal of Time Series Analysis, Vol. 31, pp. 379-391.
12. Kapetanios, G., Shin, Y. and Snell, A. (2003). 'Testing for a unit root in the nonlinear STAR framework', Journal of Econometrics, Vol. 112, pp. 359-379.
13. Leybourne, S., Newbold, P. and Vougas, D. (1998). 'Unit roots and smooth transitions', Journal of Time Series Analysis, Vol. 19, pp. 83-97.
14. Ng, S. and Perron, P. (1995). 'Unit root tests in ARMA models with data-dependent methods for the selection of the truncation lag', Journal of the American Statistical Association, Vol. 90, pp. 268-281.
15. Perron, P. (1989). 'The great crash, the oil price shock, and the unit root hypothesis', Econometrica, Vol. 57, pp. 1361-1401.
16. Perron, P. (1997). 'Further evidence on breaking trend functions in macroeconomic variables', Journal of Econometrics, Vol. 80, pp. 355-385.
17. Phillips, P. C. B. and Perron, P. (1988). 'Testing for a unit root in time series regression', Biometrika, Vol. 75, pp. 335-346.
18. Prodan, R. (2008). 'Potential pitfalls in determining multiple structural changes with an application to purchasing power parity', Journal of Business and Economics Statistics, Vol. 26, pp. 50-65.
19. Schmidt, P. and Phillips, P. (1992). 'LM tests for a unit root in the presence of deterministic trends', Oxford Bulletin of Economics and Statistics, Vol. 54, pp. 257-287.
20. Shin, D. and Lee, O. (2001). 'Tests for asymmetry in possibly nonstationary time series data', Journal of Business and Economic Statistics, Vol. 19, pp. 233-244.