Iterative estimation of nonparametric regressions with continuous endogenous variables and discrete instruments
连续内生变量与离散工具变量下非参数回归的迭代估计
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…