In econometrics some nonparametric instrumental regression models and nonparametric demand models with endogeneity lead to nonlinear integral equations with unknown integral kernels. We prove convergence rates of the risk for the iteratively regularized Newton method applied to these problems....

In this study, we consider cross-sectional interaction models including spatial autoregressive models and peer effects models as special cases. Our model allows the endogenous effect---the effect of others' outcomes on one's own outcome--- to be nonlinear and nonparametric. For the model...

Policy makers are often interested in the distributional effects of a policy. In this paper I propose a method to estimate the actual and counterfactual distributions of an outcome variable when the treatment variable is endogenous, continuous, and its effect is heterogeneous. The model is a...

This study examines the nonparametric instrumental variable model with discrete instruments and explores the partial identification and estimation of the target parameter, which is a linear functional of the structural function. We include numerous target parameters, such as the difference...

This paper develops the method of local instrumental variables for models with multiple, unordered treatments when treatment choice is determined by a nonparametric version of the multinomial choice model. Responses to interventions are permitted to be heterogeneous in a general way and agents...

This paper develops the method of local instrumental variables for models with multiple, unordered treatments when treatment choice is determined by a nonparametric version of the multinomial choice model. Responses to interventions are permitted to be heterogeneous in a general way and agents...

This paper develops the method of local instrumental variables for models with multiple, unordered treatments when treatment choice is determined by a nonparametric version of the multinomial choice model. Responses to interventions are permitted to be heterogeneous in a general way and agents...