This paper studies nonparametric identification in market level demand models for differentiated products with heterogeneous consumers. We consider a general class of models that allows for the individual specific coefficients to vary continuously across the population and give conditions under...

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...