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INFERENCE ON SEGMENTED COINTEGRATION

Published online by Cambridge University Press:  06 June 2003

Jae-Young Kim
Jae-Young Kim
Affiliation:
State University of New York at Albany and Seoul National University
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Abstract

A cointegration relation is often interpreted as a long-run equilibrium relation whereas short-run deviations are allowed to a certain extent. In practice, however, real data often fail to confirm cointegration for a well understood economic relation. This paper proposes that in many cases failure of confirming cointegration is due to nonstationary deviations in a relatively small portion of the data period (“short-run”) whereas a cointegration relation prevails in the other periods. We call such a situation segmented cointegration. We study in this paper how to detect segmented cointegration and how to identify the period of short-run deviations.I thank Pentti Saikkonen and three anonymous referees for helpful comments. I am deeply indebted to Peter Phillips for encouragement, discussion, and helpful comments on this work. The research of this paper is supported by the Research Grants Council of Hong Kong (grant HKUST6178/98H) and FRAP B of SUNY-Albany (account 320-9709W).

Type
Research Article
Information
Econometric Theory , Volume 19 , Issue 4 , August 2003 , pp. 620 - 639
Copyright
© 2003 Cambridge University Press

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References

REFERENCES

Bai, J. (1997) Estimating multiple breaks one at a time. Econometric Theory 13, 315–352.Google Scholar
Bai, J., R. Lumsdaine, & J. Stock (1998) Testing for and dating common breaks in multivariate time series. Review of Economic Studies 65, 395–432.Google Scholar
Balke, N.S. & T.B. Fomby (1996) Threshold cointegration. International Economic Review 38, 627–645.Google Scholar
Banerjee, A., J.K. Dolado, J.W. Galbraith, & D.F. Hendry (1993) Cointegration, Error Correction, and the Econometric Analysis of Non-Stationary Data. Oxford: Oxford University Press.
Chan, N.H. & C.Z. Wei (1988) Limiting distributions of least squares estimates of unstable autoregressive processes. Annals of Statistics 15, 1050–1063.Google Scholar
Chong, T.L. (2001) Structural change in AR(1) models. Econometric Theory 17, 87–155.Google Scholar
Dickey, D.A. & W.A. Fuller (1979) Distribution of the estimators for autoregressive time series with a unit root. Journal of the American Statistical Association 74, 427–431.Google Scholar
Engle, R.F. & C.W.J. Granger (1987) Co-integration and error correction: Representation, estimation, and testing. Econometrica 55, 251–276.Google Scholar
Gregory, A.W. & B.E. Hansen (1996) Residual based tests for cointegration in models with regime shifts. Journal of Econometrics 70, 99–126.Google Scholar
Hansen, H. & S. Johansen (1993) Recursive Estimation in Cointegrated VAR Models. Manuscript, University of Copenhagen.
Hendry, D.G. (1995) Dynamic Econometrics. Oxford: Oxford University Press.
Kim, J.Y. (2000) Detection of change in persistence of a linear time series. Journal of Econometrics 95, 97–116.Google Scholar
Kim, J.Y. (2001) Inference on Segmented Cointegration and Reconsideration of the Fisher Relation. Discussion paper, Department of Economics, State University of New York at Albany.
Leybourne, S.J., B.P.M. McCabe, & A.R. Tremayne (1996) Can economic time series be differenced to stationarity? Journal of Business and Economic Statistics 14, 435–446.Google Scholar
MacKinnon, J.G. (1991) Critical values for cointegration tests. In R.F. Engle and C.W.J. Granger (eds.), Long-Run Economic Relationships: Readings in Cointegration, pp. 267–276. Oxford: Oxford University Press.
McCabe, B.P.M. & A.R. Tremayne (1995) Testing a time series for difference stationarity. Annals of Statistics 23, 1015–1028.Google Scholar
Phillips, P.C.B. (1986) Understanding spurious regressions in econometrics. Journal of Econometrics 33, 311–340.Google Scholar
Phillips, P.C.B. (1987) Time series regression with unit roots. Econometrica 55, 277–302.Google Scholar
Phillips, P.C.B. (1998) Econometric Analysis of Fisher's Equation. Cowles Foundation Discussion Paper 1180.
Phillips, P.C.B. & S. Ouliaris (1990) Asymptotic properties of residual based tests for cointegration. Econometrica 58, 165–193.Google Scholar
Phillips, P.C.B. & P. Perron (1988) Testing for a unit root in time series regression. Biometrika 75, 335–346.Google Scholar
Siklos, P.L. & C.W.J. Granger (1997) Temporary cointegration with an application to interest rate parity. Macroeconomic Dynamics 1, 640–657.Google Scholar
Stock, J.H. & M.W. Watson (1994) Evidence on Structural Instability in Macroeconomic Time Series Relations, NBER Technical working paper 164.