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....

The random coeffcients model is an extension of the linear regression model which allows for additional heterogeneity in the population by modeling the regression coeffcients as random variables. Given data from this model, the statistical challenge is to recover information about the joint...

In this paper we consider endogenous regressors in the binary choice model under a weak median exclusion restriction, but without further specification of the distribution of the unobserved random components. Our reduced form specification with heteroscedastic residuals covers various...