Nonlinear and nonseparable structural functions in regression discontinuity designs with a continuous treatment
连续处理断点设计中的非线性与非可分结构函数
Many empirical examples of regression discontinuity (RD) designs concern a continuous treatment variable, but the theoretical aspects of such models are less studied. This study examines the identification and estimation of the structural function in fuzzy RD designs with a continuous treatment variable. The structural function fully describes the causal impact of the treatment on the outcome. We show that the nonlinear and nonseparable structural function can be…