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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…

统计理论 · 数学 2026-05-12 Saikat Sengupta , Koulik Khamaru , Suvrojit Ghosh , Tirthankar Dasgupta

Estimating the mean counterfactual outcome under a treatment rule is a central problem in causal inference and policy evaluation. Standard estimators, including inverse probability weighting (IPW), augmented IPW (AIPW), and targeted maximum…

统计方法学 · 统计学 2026-05-06 Yichen Xu , Mark J. van der Laan

In randomized clinical trials, adjusting for baseline covariates can improve credibility and efficiency for demonstrating and quantifying treatment effects. This article studies the augmented inverse propensity weighted (AIPW) estimator,…

统计方法学 · 统计学 2024-03-27 Marlena S. Bannick , Jun Shao , Jingyi Liu , Yu Du , Yanyao Yi , Ting Ye

Estimation and inference for the Average Treatment Effect (ATE) is a cornerstone of causal inference and often serves as the foundation for developing procedures for more complicated settings. Although traditionally analyzed in a batch…

机器学习 · 统计学 2025-02-10 Ojash Neopane , Aaditya Ramdas , Aarti Singh

We study the problem of estimating the average treatment effect (ATE) in adaptive experiments where treatment can only be encouraged -- rather than directly assigned -- via a binary instrumental variable. Building on semiparametric…

统计方法学 · 统计学 2025-10-30 Miruna Oprescu , Brian M Cho , Nathan Kallus

In the presence of sufficiently weak overlap, it is known that no regular root-n-consistent estimators exist and standard estimators may fail to be asymptotically normal. This paper shows that a thresholded version of the standard doubly…

计量经济学 · 经济学 2025-04-23 Jacob Dorn

Researchers often use linear regression to analyse randomized experiments to improve treatment effect estimation by adjusting for imbalances of covariates in the treatment and control groups. Our work offers a randomization-based inference…

统计理论 · 数学 2022-07-08 Hanzhong Liu , Yuehan Yang

Adaptive experimental designs have gained popularity in clinical trials and online experiments. Unlike traditional, fixed experimental designs, adaptive designs can dynamically adjust treatment randomization probabilities and other design…

统计方法学 · 统计学 2025-08-19 Wenxin Zhang , Mark van der Laan

We consider the problem of estimating the average treatment effect (ATE) when both randomized control trial (RCT) data and external real-world data (RWD) are available. We decompose the ATE estimand as the difference between a pooled-ATE…

统计方法学 · 统计学 2025-01-22 Mark van der Laan , Sky Qiu , Jens Magelund Tarp , Lars van der Laan

The estimation of Average Treatment Effect (ATE) as a causal parameter is carried out in two steps, where in the first step, the treatment and outcome are modeled to incorporate the potential confounders, and in the second step, the…

统计方法学 · 统计学 2022-02-09 Mehdi Rostami , Olli Saarela

Inference about a scalar parameter of interest is a core statistical task that has attracted immense research in statistics. The Wald statistic is a prime candidate for the task, on the grounds of the asymptotic validity of the standard…

统计方法学 · 统计学 2019-03-12 C. Di Caterina , I. Kosmidis

Randomized controlled trials (RCTs) with binary primary endpoints introduce novel challenges for inferring the causal effects of treatments. The most significant challenge is non-collapsibility, in which the conditional odds ratio estimand…

统计方法学 · 统计学 2024-03-01 Yunfan Li , Arman Sabbaghi , Jonathan R. Walsh , Charles K. Fisher

A growing statistical literature focuses on causal inference in the context of experiments where the target of inference is the average treatment effect in a finite population and random assignment determines which subjects are allocated to…

统计方法学 · 统计学 2025-09-04 Jonas M. Mikhaeil , Donald P. Green

We consider the problem of adaptive estimation of the regression function in a framework where we replace ergodicity assumptions (such as independence or mixing) by another structural assumption on the model. Namely, we propose adaptive…

统计理论 · 数学 2010-11-03 Sylvain Delattre , Stéphane Gaïffas

We study how to efficiently estimate average treatment effects (ATEs) using adaptive experiments. In adaptive experiments, experimenters sequentially assign treatments to experimental units while updating treatment assignment probabilities…

机器学习 · 统计学 2025-02-21 Masahiro Kato , Takuya Ishihara , Junya Honda , Yusuke Narita

Estimation of the average treatment effect (ATE) is a central problem in causal inference. In recent times, inference for the ATE in the presence of high-dimensional covariates has been extensively studied. Among the diverse approaches that…

统计理论 · 数学 2022-11-01 Kuanhao Jiang , Rajarshi Mukherjee , Subhabrata Sen , Pragya Sur

(This is the third version of a working paper.) We develop a family of self-normalized concentration inequalities for marginal mean under martingale-difference structure and $\phi/\tilde{\phi}$-mixing conditions, where the latter includes…

统计理论 · 数学 2025-12-17 Zihao Yuan

Responsibly deploying artificial intelligence (AI) / machine learning (ML) systems in high-stakes settings arguably requires not only proof of system reliability, but also continual, post-deployment monitoring to quickly detect and address…

机器学习 · 计算机科学 2025-08-26 Drew Prinster , Xing Han , Anqi Liu , Suchi Saria

Recently, there has been a surge in methodological development for the difference-in-differences (DiD) approach to evaluate causal effects. Standard methods in the literature rely on the parallel trends assumption to identify the average…

统计方法学 · 统计学 2023-10-17 Pan Zhao , Yifan Cui

Regression adjustments are often considered by investigators to improve the estimation efficiency of causal effect in randomized experiments when there exists many pre-experiment covariates. In this paper, we provide conditions that…

统计理论 · 数学 2018-09-25 Hanzhong Liu , Yuehan Yang
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