Inference for Nonlinear Endogenous Treatment Effects Accounting for High-Dimensional Covariate Complexity
考虑高维协变量复杂性的非线性内生处理效应推断
Nonlinearity and endogeneity are prevalent challenges in causal analysis using observational data. This paper proposes an inference procedure for a nonlinear and endogenous marginal effect function, defined as the derivative of the nonparametric treatment function, with a primary focus on an additive model that includes high-dimensional covariates. Using the control function approach for identification, we implement a regularized nonparametric estimation to obtain an initial…