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LOCAL POWER OF LIKELIHOOD RATIO TESTS FOR THE COINTEGRATING RANK OF A VAR PROCESS

Published online by Cambridge University Press:  01 February 1999

Pentti Saikkonen  and
Helmut Lütkepohl
Pentti Saikkonen
Affiliation:
University of Helsinki
Helmut Lütkepohl
Affiliation:
Humboldt-University
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Abstract

Likelihood ratio (LR) tests for the cointegrating rank of a vector autoregressive process have been developed under different assumptions regarding deterministic terms. For instance, nonzero mean terms and linear trends have been accounted for in some of the tests. In this paper we provide a general framework for deriving the local power properties of these tests. Thereby it is possible to assess the virtue of utilizing varying amounts of prior information by making assumptions regarding the deterministic terms. One interesting result from this analysis is that if no assumptions regarding the specific form of the mean term are made whereas a linear trend is excluded then a test is available that has the same local power as an LR test derived under a zero mean assumption.

Type
Research Article
Information
Econometric Theory , Volume 15 , Issue 1 , February 1999 , pp. 50 - 78
Copyright
© 1999 Cambridge University Press

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