Semiparametric Estimation of a Single-Index Model with Nonparametrically Generated Regressors
含非参数生成解释变量的单指标模型半参数估计
This paper develops a theory of estimating parameters of a generated regressor model in which some explanatory variables in the equation of interest are the unknown conditional means of certain observable variables given other observable regressors. The paper imposes a weak nonparametric restriction on the form of the conditional means and maintains a single-index assumption on the distribution of the dependent variable in the equation of interest. The estimation method…