Econometrics Commons^™

Adaptive Elastic Net Gmm Estimation With Many Invalid Moment Conditions: Simultaneous Model And Moment Selection, Mehmet Caner, Xu Han, Yoonseok Lee

Center for Policy Research

This paper develops the adaptive elastic net GMM estimator in large dimensional models with many possibly invalid moment conditions, where both the number of structural parameters and the number of moment conditions may increase with the sample size. The basic idea is to conduct the standard GMM estimation combined with two penalty terms: the quadratic regularization and the adaptively weighted lasso shrinkage. The new estimation procedure consistently selects both the nonzero structural parameters and the valid moment conditions. At the same time, it uses information only from the valid moment conditions to estimate the selected structural parameters and thus achieves …