Provides finite-sample valid, instance-adaptive confidence intervals for regression-adjusted ATE estimators under complete randomization in high-dimensional regimes using martingale and exchangeable-pair techniques.
Proof of Lemma C.4.We prove this lemma for the caseΦdel i (S)>0first, and the handles the degenerate caseΦ del i (S) = 0separately
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Design-based finite-sample analysis for regression adjustment
Provides finite-sample valid, instance-adaptive confidence intervals for regression-adjusted ATE estimators under complete randomization in high-dimensional regimes using martingale and exchangeable-pair techniques.