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Semiparametric doubly robust targeted double machine learning: a review

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arxiv 2203.06469 v2 pith:S3HNPR5V submitted 2022-03-12 stat.ME

Semiparametric doubly robust targeted double machine learning: a review

classification stat.ME
keywords efficiencyreviewboundsestimationparameterwhatanalysisarise
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this review we cover the basics of efficient nonparametric parameter estimation (also called functional estimation), with a focus on parameters that arise in causal inference problems. We review both efficiency bounds (i.e., what is the best possible performance for estimating a given parameter?) and the analysis of particular estimators (i.e., what is this estimator's error, and does it attain the efficiency bound?) under weak assumptions. We emphasize minimax-style efficiency bounds, worked examples, and practical shortcuts for easing derivations. We gloss over most technical details, in the interest of highlighting important concepts and providing intuition for main ideas.

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