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Econometrica
Article
Data sources: UnpayWall
Econometrica
Article . 1990 . Peer-reviewed
Data sources: Crossref
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Asymptotic Properties of Residual Based Tests for Cointegration

Authors: Phillips, Peter C B; Ouliaris, S;

Asymptotic Properties of Residual Based Tests for Cointegration

Abstract

This paper develops an asymptotic theory for residual based tests for cointegration. Attention is given to the augmented Dickey-Fuller (ADF) test and the Z(subscript "alpha") and Z(subscript "t") unit root tests. Two new tests are also introduced. The tests are shown to be asymptotically similar, and simple representations of their limiting distributions are given and asymptotic critical values are tabulated. The ADF and Z(subscript "t") tests are asymptotically equivalent. Power properties of the test are also studied. The tests are consistent if suitably constructed, but the ADF and Z(subscript "t") tests have slower rates of divergence under cointegration than the other tests. Copyright 1990 by The Econometric Society.

Keywords

Co-integration, consistent tests, unit root tests, asymptotic theory, power

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1K
Top 0.1%
Top 0.01%
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