Nonparametric Estimation of Triangular Simultaneous Equations Models
Version of Record online: 9 DEC 2003
Econometric Society 1999
Volume 67, Issue 3, pages 565–603, May 1999
How to Cite
Newey, W. K., Powell, J. L. and Vella, F. (1999), Nonparametric Estimation of Triangular Simultaneous Equations Models. Econometrica, 67: 565–603. doi: 10.1111/1468-0262.00037
- Issue online: 9 DEC 2003
- Version of Record online: 9 DEC 2003
- Cited By
- Nonparametric estimation;
- simultaneous equations;
- series estimation;
- two-step estimators.
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.