Power functions and envelopes for unit root tests
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Issue Date
2003-04Author
Juhl, Ted P.
Xiao, Zhijie
Publisher
CAMBRIDGE UNIV PRESS
Type
Article
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Show full item recordAbstract
This paper studies power functions and envelopes for covariate augmented unit root tests. The power functions are calculated by integrating the characteristic function, allowing accurate evaluation of the power envelope and the power functions. Using the power functions, we study the selection among point optimal invariant unit root tests. An "optimal" point optimal test is proposed based on minimizing the integrated power difference. We find that when there are covariate effects, optimal tests use a local alternative where the power envelope has an approximate value of 0.75.
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Citation
Juhl, T; Xiao, ZJ. Power functions and envelopes for unit root tests. ECONOMETRIC THEORY. April 2003. 19(2) : 240-253
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