Semiparametric distribution regression with instruments and monotonicity
针对内生解释变量,提出基于工具变量的半参数分布回归估计量,结合控制函数和单调性修正方法,用德国SOEP数据发现与忽略内生性的估计存在显著差异。
This paper proposes IV-based estimators for the semiparametric distribution regression model in the presence of an endogenous regressor, which are based on an extension of IV probit estimators and the idea of control functions. We discuss the causal interpretation of the estimators and two methods (monotone rearrangement and isotonic regression) to ensure a monotonically increasing distribution function. Asymptotic properties and simulation evidence are provided. An application to income equations with German SOEP data reveals statistically significant and heterogeneous differences to the inconsistent non-IV-based estimator.