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On the semi-parametric efficiency of logistic regression under case-control sampling. (English) Zbl 0965.62033
Summary: Using modern theory for semi-parametric models, we provide details for an argument of {\it J.M. Robins} et al. [J. Am. Stat. Assoc. 89, No. 427, 846-866 (1994; Zbl 0815.62043)] showing efficiency of the standard logistic regression estimator applied to data from case-control studies. Our elaboration of this argument, and of a related one by {\it P.J. Bickel} et al. [Efficient and adaptive estimation for semiparametric models. (1993; Zbl 0786.62001)], includes a constructive new proof of the result.

MSC:
62G08Nonparametric regression
62G20Nonparametric asymptotic efficiency
62J12Generalized linear models
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