This paper extends the linear lasso estimators to non-linear case. We are especially interested in GMM type of Lasso estimators. Lasso estimators are generalization of ridge regression in least squares. With this setup we can deal with identification problem introduced by weak instruments. When...

In this paper we analyze GMM with semi-weak instruments. This case includes the standard GMM and the nearly-weak GMM. In the nearly-weak GMM the correlation between the instruments and the first order conditions decline at a slower rate than root T. We find an important difference between the...