This chapter overviews the recent progress towards the identification and the estimation of models in which some of the variables are either imperfectly measured or even entirely unobserved, with a special focus on models with nonlinear, nonparametric, nonclassical or nonseparable features....

This paper establishes that so-called instrumental variables enable the identification and the estimation of a fully nonparametric regression model with Berkson-type measurement error in the regressors. An estimator is proposed and proven to be consistent. Its practical performance and...