Nonparametric Estimation of Triangular Simultaneous Equations Models
- Resource Type
- research-article
- Authors
- Newey, Whitney K.; Powell, James L.; Vella, Francis
- Source
- Econometrica, 1999 May 01. 67(3), 565-603.
- Subject
- Nonparametric Estimation
Simultaneous Equations
Series Estimation
Two-Step Estimators
Estimators
Polynomials
Approximation
Simultaneous equations
Standard error
Power series
Nonparametric models
Wage rate
Economic models
Additivity
- Language
- English
- ISSN
- 00129682
14680262
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.