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MODIFIED KPSS TESTS FOR NEAR INTEGRATION

Published online by Cambridge University Press:  30 January 2007

David Harris
Affiliation:
University of Melbourne
Stephen Leybourne
Affiliation:
University of Nottingham
Brendan McCabe
Affiliation:
University of Liverpool

Abstract

This note suggests a simple modification to the Kwiatkowski, Phillips, Schmidt, and Shin (1992, Journal of Econometrics, 54, 159–178) test (KPSS test) so that it is applicable to testing the null hypothesis of near integration against a unit root alternative. The modified KPSS test is shown not to suffer from the asymptotic size distortion problems of the original KPSS test that are described by Müller (2005, Journal of Econometrics 128, 195–213). The test also has good asymptotic and finite-sample properties relative to the point optimal tests of Müller (2005) and Elliott and Müller (2006, Journal of Econometrics 135, 285–310).

Type
NOTES AND PROBLEMS
Copyright
© 2007 Cambridge University Press

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References

REFERENCES

Caner, M. & L. Kilian (2001) Size distortions of tests of the null hypothesis of stationarity: Evidence and implications for the PPP debate. Journal of International Money and Finance 20, 639657.Google Scholar
Elliott, G. (1999) Efficient tests for a unit root when the initial observation is drawn from its unconditional distribution. International Economic Review 40, 767783.Google Scholar
Elliott, G. & U. Müller (2006) Minimizing the impact of the initial condition on testing for unit roots. Journal of Econometrics 135, 285310.Google Scholar
Elliott, G. & J.H. Stock (2001) Confidence intervals for autoregressive coefficients near one. Journal of Econometrics 103, 155181.Google Scholar
Kwiatkowski, D., P. Phillips, P. Schmidt, & Y. Shin (1992) Testing the null hypothesis of stationarity against the alternative of a unit root. Journal of Econometrics 54, 159178.Google Scholar
Müller, U. (2005) Size and power of tests for stationarity in highly autocorrelated time series. Journal of Econometrics 128, 195213.Google Scholar
Müller, U. & G. Elliott (2003) Tests for unit roots and the initial condition. Econometrica 71, 12691286.Google Scholar
Newey, W. & K. West (1994) Automatic lag selection in covariance matrix estimation. Review of Economic Studies 61, 631653.Google Scholar
Stock, J.H. & M.W. Watson (1999) Business cycle fluctuations in U.S. macroeconomic time series. In J.B. Taylor & M. Woodford (eds.), Handbook of Macroeconomics, vol. 1, pp. 364. Elsevier.
Sul, D., P.C.B. Phillips, & C. Choi (2005) Prewhitening bias in HAC estimation. Oxford Bulletin of Economics and Statistics 67, 517546.Google Scholar