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One-step TMLE for weighted average treatment effects
[Submitted on 31 Mar 2026 (v1), last revised 14 Sep 2026 (this v · 2026-04-01 · via math.ST updates on arXiv.org

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Abstract:We consider Targeted Maximum Likelihood Estimation (TMLE) of weighted average treatment effects (WATEs), a class of causal estimands that reweight the covariate distribution using a specified function of the propensity score. This class includes the average treatment effect and average treatment effect on the treated, as well as various overlap-based targets. We provide a comprehensive analysis of the one-step TMLE along the universal least favorable path for such parameters. Under explicit regularity conditions on the weight function and initialization, we show that the targeting procedure is well-defined, reaches a solution of the estimating equation in finite time, and yields an asymptotically efficient estimator. In particular, convergence of the targeting dynamics and control of the second-order remainder are derived from these conditions rather than imposed as separate assumptions on the output of the algorithm.

Submission history

From: Ivana Malenica [view email]
[v1] Tue, 31 Mar 2026 19:58:45 UTC (52 KB)
[v2] Mon, 14 Sep 2026 00:47:42 UTC (63 KB)