Penalized GMM Framework for Inference on Functionals of Nonparametric Instrumental Variable Estimators
非参数工具变量估计泛函推断的惩罚 GMM 框架
This paper develops a penalized GMM (PGMM) framework for automatic debiased inference on functionals of nonparametric instrumental variable estimators. We derive convergence rates for the PGMM estimator and provide conditions for root-n consistency and asymptotic normality of debiased functional estimates, covering both linear and nonlinear functionals. Monte Carlo experiments on average derivative show that the PGMM-based debiased estimator performs on par with the…