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Uniform confidence bands for functions estimated nonparametrically with instrumental variables

Joel L. Horowitz and Sokbae (Simon) Lee

Journal of Econometrics, 2012, vol. 168, issue 2, 175-188

Abstract: 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.

Keywords: Bootstrap; Instrumental variables; Sieve estimator; Uniform confidence band (search for similar items in EconPapers)
JEL-codes: C13 C14 (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (48)

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Related works:
Working Paper: Uniform confidence bands for functions estimated nonparametrically with instrumental variables (2010) Downloads
Working Paper: Uniform confidence bands for functions estimated nonparametrically with instrumental variables (2009) Downloads
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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:168:y:2012:i:2:p:175-188

DOI: 10.1016/j.jeconom.2011.12.001

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