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Since the average treatment effect (ATE) measures the change in social welfare, even if positive, there is a risk of negative effect on, say, some 10% of the population. Assessing such risk is difficult, however, because any one individual…

Methodology · Statistics 2022-07-20 Nathan Kallus

Existing weighting methods for treatment effect estimation are often built upon the idea of propensity scores or covariate balance. They usually impose strong assumptions on treatment assignment or outcome model to obtain unbiased…

Machine Learning · Computer Science 2023-05-09 Dongcheng Zhang , Kunpeng Zhang

As an important problem in causal inference, we discuss the identification and estimation of treatment effects (TEs) under limited overlap; that is, when subjects with certain features belong to a single treatment group. We use a latent…

Machine Learning · Statistics 2022-04-22 Pengzhou Wu , Kenji Fukumizu

Most of the widely used estimators of the average treatment effect (ATE) in causal inference rely on the assumptions of unconfoundedness and overlap. Unconfoundedness requires that the observed covariates account for all correlations…

Statistics Theory · Mathematics 2025-07-01 Yang Cai , Alkis Kalavasis , Katerina Mamali , Anay Mehrotra , Manolis Zampetakis

In this paper, we derive new, nearly optimal bounds for the Gaussian approximation to scaled averages of $n$ independent high-dimensional centered random vectors $X_1,\dots,X_n$ over the class of rectangles in the case when the covariance…

Probability · Mathematics 2021-05-13 Victor Chernozhukov , Denis Chetverikov , Yuta Koike

Common variance estimation methods for weighted average treatment effects (WATEs) in observational studies include nonparametric bootstrap and model-based, closed-form sandwich variance estimation. However, the computational cost of…

Methodology · Statistics 2025-09-11 Huiyue Li , Yi Liu , Yunji Zhou , Jiajun Liu , Dezhao Fu , Roland A. Matsouaka

In this paper, we introduce a unified estimator to analyze various treatment effects in causal inference, including but not limited to the average treatment effect (ATE) and the quantile treatment effect (QTE). The proposed estimator is…

Methodology · Statistics 2025-03-31 Kuan-Hsun Wu , Li-Pang Chen

This paper studies the Gaussian approximation of high-dimensional and non-degenerate U-statistics of order two under the supremum norm. We propose a two-step Gaussian approximation procedure that does not impose structural assumptions on…

Statistics Theory · Mathematics 2016-10-04 Xiaohui Chen

Bootstrap smoothed (bagged) parameter estimators have been proposed as an improvement on estimators found after preliminary data-based model selection. The key result of Efron (2014) is a very convenient and widely applicable formula for a…

Methodology · Statistics 2019-04-29 Paul Kabaila , Christeen Wijethunga

Average treatment effect estimation is the most central problem in causal inference with application to numerous disciplines. While many estimation strategies have been proposed in the literature, the statistical optimality of these methods…

Machine Learning · Statistics 2025-06-10 Jikai Jin , Vasilis Syrgkanis

A tuning-free procedure is proposed to estimate the covariate-adjusted Gaussian graphical model. For each finite subgraph, this estimator is asymptotically normal and efficient. As a consequence, a confidence interval can be obtained for…

Methodology · Statistics 2013-09-24 Mengjie Chen , Zhao Ren , Hongyu Zhao , Harrison Zhou

When estimating causal effects, it is important to assess external validity, i.e., determine how useful a given study is to inform a practical question for a specific target population. One challenge is that the covariate distribution in…

Methodology · Statistics 2025-01-03 Zhenghao Zeng , Edward H. Kennedy , Lisa M. Bodnar , Ashley I. Naimi

This paper provides a set of methods for quantifying the robustness of treatment effects estimated using the unconfoundedness assumption (also known as selection on observables or conditional independence). Specifically, we estimate and do…

Econometrics · Economics 2021-01-01 Matthew A. Masten , Alexandre Poirier , Linqi Zhang

We combine Stein's method with Malliavin calculus in order to obtain explicit bounds in the multidimensional normal approximation (in the Wasserstein distance) of functionals of Gaussian fields. Our results generalize and refine the main…

Probability · Mathematics 2008-11-19 Ivan Nourdin , Giovanni Peccati , Anthony Réveillac

Conditional Average Treatment Effect (CATE) estimation, at the heart of counterfactual reasoning, is a crucial challenge for causal modeling both theoretically and applicatively, in domains such as healthcare, sociology, or advertising.…

Machine Learning · Computer Science 2025-01-27 Armand Lacombe , Michèle Sebag

The Average Treatment Effect on the Treated (ATT) is a common causal parameter defined as the average effect of a binary treatment among the subset of the population receiving treatment. We propose a novel family of parameters, Generalized…

Methodology · Statistics 2024-10-28 Herbert Susmann , Nicholas T. Williams , Kara E. Rudolph , Iván Díaz

We study the problem of estimating the average treatment effect (ATE) under sequentially adaptive treatment assignment mechanisms. In contrast to classical completely randomized designs, we consider a setting in which the probability of…

Statistics Theory · Mathematics 2026-05-12 Saikat Sengupta , Koulik Khamaru , Suvrojit Ghosh , Tirthankar Dasgupta

In many social, behavioral, and biomedical sciences, treatment effect estimation is a crucial step in understanding the impact of an intervention, policy, or treatment. In recent years, an increasing emphasis has been placed on…

Methodology · Statistics 2024-10-10 Xinhai Zhang , Xingye Qiao

This study addresses the challenge of estimating average treatment effects (ATEs) for advertising campaigns in online marketplaces where complete randomized experimentation is infeasible. We propose two key innovations: (1) a shrinkage…

Methodology · Statistics 2026-04-01 Yen-Chun Liu , Alexander Volfovsky , German Schnaidt , Cristobal Garib , Eric Laber

The weighted average treatment effect (WATE) is a causal measure for the comparison of interventions in a specific target population, which may be different from the population where data are sampled from. For instance, when the goal is to…

Methodology · Statistics 2018-04-17 Yebin Tao , Haoda Fu
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