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Robust inference in structural vector autoregressions with long-run restrictions

Abstract:
Long-run restrictions are a very popular method for identifying structural vector autoregressions, but they suffer from weak identification when the data is very persistent, i.e., when the highest autoregressive roots are near unity. Near unit roots introduce additional nuisance parameters and make standard weak-instrument-robust methods of inference inapplicable. We develop a method of inference that is robust to both weak identification and strong persistence. The method is based on a combination of the Anderson-Rubin test with instruments derived by filtering potentially nonstationary variables to make them near stationary using the IVX instrumentation method of Magdalinos and Phillips (2009). We apply our method to obtain robust confidence bands on impulse responses in two leading applications in the literature.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1017/S0266466619000045

Authors


More by this author
Institution:
University of Oxford
Division:
SSD
Department:
Economics
Role:
Author
ORCID:
0000-0002-8851-8044


Publisher:
Cambridge University Press
Journal:
Econometric Theory More from this journal
Volume:
36
Issue:
1
Pages:
86-121
Publication date:
2019-03-05
DOI:
EISSN:
1469-4360
ISSN:
0266-4666


Language:
English
Keywords:
Pubs id:
1084357
Local pid:
pubs:1084357
Deposit date:
2020-06-01

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