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cemmap Working Papers
July 2010 CWP19/10
Article
Uniform confidence bands for functions estimated nonparametrically with instrumental variables
Type: cemmap Working Papers

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.

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