|Authors:||Joel L. Horowitz and Sokbae Lee|
|Date:||11 July 2010|
|Type:||cemmap Working Paper, CWP19/10|
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 an interpolation method 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.
This paper is a revised version of CWP18/09.Download full version