Econometrics Commons^™

Estimation Of A Partially Linear Regression In Triangular Systems, Xin Geng, Carlos Martins-Filho, Feng Yao

Economics Faculty Working Papers Series

We propose kernel-based estimators for the components of a partially linear regression in a triangular system where endogenous regressors appear both in the linear and nonparametric components of the regression. Compared with other estimators currently available in the literature, e.g. the sieve estimators proposed in Ai and Chen (2003) or Otsu (2011), our estimators have explicit functional form and are much easier to implement. They rely on a set of assumptions introduced by Newey et al. (1999) that characterize what has become known as the “control function” approach for endogeneity in regression. We explore conditional moment restrictions that make this …