Adaptive Estimation and Uniform Confidence Bands for Nonparametric Structural Functions and Elasticities
非参数结构函数与弹性的自适应估计和一致置信带
Abstract We introduce two data-driven procedures for optimal estimation and inference in nonparametric models using instrumental variables. The first is a data-driven choice of sieve dimension for a popular class of sieve two-stage least-squares estimators. When implemented with this choice, estimators of both the structural function h0 and its derivatives (such as elasticities) converge at the fastest possible (i.e. minimax) rates in sup-norm. The second is for constructing…