Maximum likelihood inference in weakly identified dynamic stochastic general equilibrium models
Author(s)Andrews, Isaiah Smith; Mikusheva, Anna
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This paper examines the issue of weak identification in maximum likelihood, motivated by problems with estimation and inference in a multidimensional dynamic stochastic general equilibrium model. We show that two forms of the classical score (Lagrange multiplier) test for a simple hypothesis concerning the full parameter vector are robust to weak identification. We also suggest a test for a composite hypothesis regarding a subvector of parameters. The suggested subset test is shown to be asymptotically exact when the nuisance parameter is strongly identified. We pay particular attention to the question of how to estimate Fisher information and we make extensive use of martingale theory.
DepartmentMassachusetts Institute of Technology. Department of Economics
John Wiley & Sons
Andrews, Isaiah, and Anna Mikusheva. “Maximum Likelihood Inference in Weakly Identified Dynamic Stochastic General Equilibrium Models.” Quantitative Economics 6, no. 1 (March 2015): 123-152.