Document Type
Discussion Paper
Publication Date
10-1-2011
CFDP Number
1828
CFDP Pages
75
Abstract
This paper determines the properties of standard generalized method of moments (GMM) estimators, tests, and confidence sets (CS’s) in moment condition models in which some parameters are unidentified or weakly identified in part of the parameter space. The asymptotic distributions of GMM estimators are established under a full range of drifting sequences of true parameters and distributions. The asymptotic sizes (in a uniform sense) of standard GMM tests and CS’s are established. The paper also establishes the correct asymptotic sizes of “robust” GMM-based Wald, t , and quasi-likelihood ratio tests and CS’s whose critical values are designed to yield robustness to identification problems. The results of the paper are applied to a nonlinear regression model with endogeneity and a probit model with endogeneity and possibly weak instrumental variables.
Recommended Citation
Andrews, Donald W.K. and Cheng, Xu, "GMM Estimation and Uniform Subvector Inference with Possible Identification Failure" (2011). Cowles Foundation Discussion Papers. 2181.
https://elischolar.library.yale.edu/cowles-discussion-paper-series/2181
Supplemental material
Comments
Supplement Materials, 9 pp