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Cited by 865

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Vector Autoregressions and Causality

Toda, Hiro Y., Phillips, Peter C. B.·1993·Econometrica

Abstract

A limit theory for Wald tests of Granger causality in levels vector autoregressions (VAR's) and error correction models (ECM's) is developed, which allows for stochastic trends and cointegration. Earlier work is extended to the general case, thereby characterizing when these Wald tests are asymptotically valid as 'x'(superscript 2) criteria. Our results for inference from unrestricted levels VAR are not encouraging: the limit theory often involves nuisance parameters and nonstandard distributions, a situation offering no satisfactory statistical basis for these tests. Granger causality tests in ECM's also suffer from nuisance parameter dependencies asymptotically and in some cases nonstandard limit theory. Both these results are somewhat surprising in light of earlier research. Copyright 1993 by The Econometric Society.

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Metadata

Authors
Toda, H. Y., & Phillips, P. C. B.
Venue
Econometrica
Publisher
JSTOR
Published
1993-11
Volume
61
Issue
6
Pages
1367
ISSN
0012-9682 (ISSN-L)
OpenAlex
W2076578229
Cited by
865
References
1
FWCI
70.28
Type
journal article
Language
en
Open access
closed

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