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Unit roots and double smooth transitions Author info | Abstract | Publisher info | Download info | Related research | Statistics David I. Harvey
Terence C. Mills
Techniques for testing the null hypothesis of difference stationarity against stationarity around some deterministic function have received much attention. In particular, unit root tests where the alternative is stationarity around a smooth transition in a linear trend have recently been proposed to permit the possibility of non-instantaneous structural change. In this paper we develop tests extending such an approach in order to admit more than one structural change. The analysis is motivated by time series that appear to undergo two smooth transitions in the linear trend, and the application of the new tests to two such series (average global temperature and US consumer prices) highlights the benefits of this double transition extension.
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Article provided by Taylor and Francis Journals in its journal Journal of Applied Statistics .
Volume (Year): 29 (2002)
Issue (Month): 5 (July)
Pages: 675-683
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Handle: RePEc:taf:japsta:v:29:y:2002:i:5:p:675-683Contact details of provider: Web page: http://taylorandfrancis.metapress.com/link.asp?target=journal&id=100411
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Keywords: References listed on IDEAS 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.:
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International Economic Review ,
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Other versions:
Vogelsang, T.J. & Perron, P., 1994.
"Additional Tests for a Unit Root Allowing for a Break in the Trend Function at an Unknown Time ,"
Cahiers de recherche
9422, Universite de Montreal, Departement de sciences economiques.
[Downloadable!] Vogelsang, T.J. & Perron, P., 1994.
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Cahiers de recherche
9422, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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Other versions:
Clements, M.P. & Hendry, D.P., 1998.
"Forecasting with Difference-Stationary and Trend-Stationary Models ,"
The Warwick Economics Research Paper Series (TWERPS)
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"After the Golden Age: A Long-Run Perspective on Growth Rates That Speeded Up, Slowed Down and Still Differ ,"
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[Downloadable!] (restricted)
Zivot, Eric & Andrews, Donald W K, 1992.
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Journal of Business & Economic Statistics ,
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Other versions:
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Cowles Foundation Discussion Papers
944, Cowles Foundation, Yale University.
[Downloadable!] Zivot, Eric & Andrews, Donald W K, 2002.
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Journal of Business & Economic Statistics ,
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"Endogenous Innovation, Trend Growth, and the British Industrial Revolution: Reply to Greasley and Oxley ,"
The Journal of Economic History ,
Cambridge University Press, vol. 57(04), pages 950-956, December.
[Downloadable!]
Lin, Chien-Fu Jeff & Terasvirta, Timo, 1994.
"Testing the constancy of regression parameters against continuous structural change ,"
Journal of Econometrics ,
Elsevier, vol. 62(2), pages 211-228, June.
[Downloadable!] (restricted)
Other versions: Michael P. Clements & David F. Hendry, 2001.
"Forecasting Non-Stationary Economic Time Series ,"
MIT Press Books ,
The MIT Press,
edition 1, volume 1, number 0262531895, December.
Jushan Bai & Pierre Perron, 1998.
"Estimating and Testing Linear Models with Multiple Structural Changes ,"
Econometrica ,
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Other versions:
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.
[Downloadable!]
Full
references Cited by : (explanations , 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.)
Robert Sollis, 2005.
"Evidence on purchasing power parity from univariate models: the case of smooth transition trend-stationarity ,"
Journal of Applied Econometrics ,
John Wiley & Sons, Ltd., vol. 20(1), pages 79-98.
[Downloadable!]
He, Changli & Sandberg, Rickard, 2005.
"Dickey-Fuller Type of Tests against Nonlinear Dynamic Models ,"
Working Paper Series in Economics and Finance
580, Stockholm School of Economics.
[Downloadable!]
Terence C. Mills & David I. Harvey, 2003.
"Modelling trends in central England temperatures ,"
Journal of Forecasting ,
John Wiley & Sons, Ltd., vol. 22(1), pages 35-47.
[Downloadable!]
Robert Sollis, 2004.
"Evidence on purchasing power parity from univariate models: the case of smooth transition trend-stationarity ,"
Money Macro and Finance (MMF) Research Group Conference 2003
91, Money Macro and Finance Research Group.
[Downloadable!]
He, Changli & Sandberg, Rickard, 2005.
"Testing for Unit Roots in Nonlinear Dynamic Heterogeneous Panels ,"
Working Paper Series in Economics and Finance
582, Stockholm School of Economics.
[Downloadable!]
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