Arbeitspapier

Uniform confidence bands for functions estimated nonparametrically with instrumental variables

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.

Language
Englisch

Bibliographic citation
Series: cemmap working paper ; No. CWP18/09

Classification
Wirtschaft
Estimation: General
Semiparametric and Nonparametric Methods: General
Subject
bootstrap
instrumental variables
sieve estimator
uniform confidence band
Schätztheorie
Bootstrap-Verfahren
Nichtparametrisches Verfahren

Event
Geistige Schöpfung
(who)
Horowitz, Joel L.
Lee, Sokbae
Event
Veröffentlichung
(who)
Centre for Microdata Methods and Practice (cemmap)
(where)
London
(when)
2009

DOI
doi:10.1920/wp.cem.2009.1809
Handle
Last update
20.09.2024, 8:24 AM CEST

Data provider

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Object type

  • Arbeitspapier

Associated

  • Horowitz, Joel L.
  • Lee, Sokbae
  • Centre for Microdata Methods and Practice (cemmap)

Time of origin

  • 2009

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