Semiparametric estimators can suffer from a nonlinear bias and an average nonparametric bias when the first-step estimator is imprecise, and this paper provides two correction methods that work under weaker rate conditions than the standard n^{1/4} requirement.
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Bias Correction and Robust Inference in Semiparametric Models
Semiparametric estimators can suffer from a nonlinear bias and an average nonparametric bias when the first-step estimator is imprecise, and this paper provides two correction methods that work under weaker rate conditions than the standard n^{1/4} requirement.