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GMM with Weak Identification

Stock, James H., Wright, Jonathan H.·2000·Econometrica

Abstract

This paper develops asymptotic distribution theory for GMM estimators and test statistics when some or all of the parameters are weakly identified. General results are obtained and are specialized to two important cases: linear instrumental variables regression and Euler equations estimation of the CCAPM. Numerical results for the CCAPM demonstrate that weak-identification asymptotics explains the breakdown of conventional GMM procedures documented in previous Monte Carlo studies. Confidence sets immune to weak identification are proposed. We use these results to inform an empirical investigation of various CCAPM specifications; the substantive conclusions reached differ from those obtained using conventional methods.

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Metadata

Authors
Stock, J. H., & Wright, J. H.
Venue
Econometrica
Published
2000-09
Volume
68
Issue
5
Pages
1055-1096
ISSN
  • 0012-9682 (ISSN-L)
  • 1468-0262
OpenAlex
W2158179451
Cited by
812
References
1
FWCI
10.50
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: GMM with Weak Identification. https://app.cochat.ai/papers/10.1111/1468-0262.00151
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Stock, J. H., & Wright, J. H. (2000). GMM with Weak Identification. Econometrica. https://doi.org/10.1111/1468-0262.00151

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.