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Double-robust estimators combine an outcome regression model with a treatment (or exposure) model, so that the estimated causal effect remains consistent if either model—but not necessarily both—is correctly specified. [ 5 , 6 ] This property makes them attractive in observational settings where the true form of the outcome or treatment mechanism is unknown.
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Robust semiparametric estimators: missing data and causal inference ↗
Semiparametric inference with missing outcome data (including causal inference) is based on partially specified models which are not of direct interest (e.g., model for missingness/treatment assignment mechanism). Different class of estimators exist, which are more or less robust to misspecification…
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Semiparametric inference with missing outcome data (including causal inference) is based on partially specified models which are not of direct interest (e.g., model for missingness/treatment assignment mechanism). Different class of estimators exist, which are more or less robust to misspecification of these models. Another type of threat to the validity of the inference occur in situations where some observations are contaminated (generated by some nuisance distribution). Classical semiparametric inference is not robust to such contamination, and a single observation may have an arbitrary large effect on bias as measured by the influence function. We introduce inverse probability weighted, double robust and outcome regression estimators of location and scale parameters, which are robust to contamination in the sense that their influence function is bounded.