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Econometrica Vol. 67 No. 3 1999

Nonparametric Estimation of Triangular Simultaneous Equations Models

Whitney K. Newey1; James L. Powell2; Francis Vella3

1 Massachusetts Institute of Technology · 2 University of California, Berkeley · 3 Rutgers, The State University of New Jersey

Abstract

This paper presents a simple two-step nonparametric estimator for a triangular simultaneous equation model. Our approach employs series approximations that exploit the additive structure of the model. The first step comprises the nonparametric estimation of the reduced form and the corresponding residuals. The second step is the estimation of the primary equation via nonparametric regression with the reduced form residuals included as a regressor. We derive consistency and asymptotic normality results for our estimator, including optimal convergence rates. Finally we present an empirical example, based on the relationship between the hourly wage rate and annual hours worked, which illustrates the utility of our approach.

DOI
10.1111/1468-0262.00037
Volume
67
Issue
3
Pages
565-603
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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