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TESTING FOR A UNIT ROOT IN A TIME SERIES WITH A LEVEL SHIFT AT UNKNOWN TIME

Published online by Cambridge University Press:  16 May 2002

Pentti Saikkonen  and
Helmut Lütkepohl
Pentti Saikkonen
Affiliation:
University of Helsinki
Helmut Lütkepohl
Affiliation:
European University Institute, Florence and Humboldt University
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Abstract

Unit root tests for time series with level shifts of general form are considered when the timing of the shift is unknown. It is proposed to estimate the nuisance parameters of the data generation process including the shift date in a first step and apply standard unit root tests to the residuals. The estimation of the nuisance parameters is done in such a way that the unit root tests on the residuals have the same limiting distributions as for the case of a known break date. Simulations are performed to investigate the small sample properties of the tests, and empirical examples are discussed to illustrate the procedure.

Type
Research Article
Information
Econometric Theory , Volume 18 , Issue 2 , April 2002 , pp. 313 - 348
Copyright
© 2002 Cambridge University Press

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