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A Geometric Perspective on Double Robustness by Semiparametric Theory and Information Geometry

A Geometric Perspective on Double Robustness by Semiparametric Theory and Information Geometry

Double robustness (DR) is a widely-used property of estimators that provides protection against model misspecification and slow convergence of nuisance functions. While DR is a global property on the probability distribution manifold, it often coincides with influence curves, which only ensure orthogonality to nuisance directions locally. This apparent discrepancy raises …