Semiparametric Estimation with Generated Covariates
44 Pages Posted: 13 Nov 2011
Abstract
In this paper, we study a general class of semiparametric optimization estimators of a vector-valued parameter. The criterion function depends on two types of infinite-dimensional nuisance parameters: a conditional expectation function that has been estimated nonparametrically using generated covariates, and another estimated function that is used to compute the generated covariates in the first place. We study the asymptotic properties of estimators in this class, which is a nonstandard problem due to the presence of generated covariates. We give conditions under which estimators are root-n consistent and asymptotically normal, and derive a general formula for the asymptotic variance.
Keywords: semiparametric estimation, generated covariates, profiling, propensity score
JEL Classification: C14, C31
Suggested Citation: Suggested Citation
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