IDENTIFICATION AND ESTIMATION BY PENALIZATION IN NONPARAMETRIC INSTRUMENTAL REGRESSION

Author:

Florens Jean-Pierre,Johannes Jan,Van Bellegem Sébastien

Abstract

The nonparametric estimation of a regression function from conditional moment restrictions involving instrumental variables is considered. The rate of convergence of penalized estimators is studied in the case where the regression function is not identified from the conditional moment restriction. We also study the gain of modifying the penalty in the estimation, considering derivatives in the penalty. We analyze the effect of this modification on the identification of the regression function and the rate of convergence of its estimator.

Publisher

Cambridge University Press (CUP)

Subject

Economics and Econometrics,Social Sciences (miscellaneous)

Reference23 articles.

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