Local Identification of Nonparametric and Semiparametric Models
46 Pages Posted: 15 Nov 2012
Date Written: November 14, 2012
In parametric models a sufficient condition for local identification is that the vector of moment conditions is differentiable at the true parameter with full rank derivative matrix. We show that additional conditions are often needed in nonlinear, nonparametric models to avoid nonlinearities overwhelming linear effects. We give restrictions on a neighborhood of the true value that are sufficient for local identification. We apply these results to obtain new, primitive identification conditions in several important models, including nonseparable quantile instrumental variable (IV) models, single-index IV models, and semiparametric consumption-based asset pricing models.
Keywords: Identification, Local identification, Nonparametric models, Asset pricing
JEL Classification: C12, C13, C23
Suggested Citation: Suggested Citation