Journal Article

Uniform confidence bands for functions estimated nonparametrically with instrumental variables

Authors

Joel L. Horowitz, Sokbae (Simon) Lee

Published Date

30 June 2012

Type

Journal Article

This paper is concerned with developing uniform confidence bands for functions estimated nonparametrically with instrumental variables. We show that a sieve nonparametric instrumental variables estimator is pointwise asymptotically normally distributed. The asymptotic normality result holds in both mildly and severely ill-posed cases. We present methods to obtain a uniform confidence band and show that the bootstrap can be used to obtain the required critical values. Monte Carlo experiments illustrate the finite-sample performance of the uniform confidence band.