Iterative Estimation of Nonparametric Regressions with Continuous Endogenous Variables and Discrete Instruments

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Main Authors: Centorrino, Samuele, Fève, Frédérique, Florens, Jean-Pierre
Format: Preprint
Published: 2019
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author Centorrino, Samuele
Fève, Frédérique
Florens, Jean-Pierre
author_facet Centorrino, Samuele
Fève, Frédérique
Florens, Jean-Pierre
contents We consider a nonparametric regression model with continuous endogenous independent variables when only discrete instruments are available that are independent of the error term. Although this framework is very relevant for applied research, its implementation is challenging, as the regression function becomes the solution to a nonlinear integral equation. We propose a simple iterative procedure to estimate such models and showcase some of its asymptotic properties. In a simulation experiment, we detail its implementation in the case when the instrumental variable is binary. We conclude with an empirical application to returns to education.
format Preprint
id arxiv_https___arxiv_org_abs_1905_07812
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle Iterative Estimation of Nonparametric Regressions with Continuous Endogenous Variables and Discrete Instruments
Centorrino, Samuele
Fève, Frédérique
Florens, Jean-Pierre
Econometrics
Methodology
We consider a nonparametric regression model with continuous endogenous independent variables when only discrete instruments are available that are independent of the error term. Although this framework is very relevant for applied research, its implementation is challenging, as the regression function becomes the solution to a nonlinear integral equation. We propose a simple iterative procedure to estimate such models and showcase some of its asymptotic properties. In a simulation experiment, we detail its implementation in the case when the instrumental variable is binary. We conclude with an empirical application to returns to education.
title Iterative Estimation of Nonparametric Regressions with Continuous Endogenous Variables and Discrete Instruments
topic Econometrics
Methodology
url https://arxiv.org/abs/1905.07812