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Given the unconfoundedness assumption, we propose new nonparametric estimators for the reduced dimensional conditional average treatment effect (CATE) function. In the first stage, the nuisance functions necessary for identifying CATE are…

Econometrics · Economics 2021-07-26 Qingliang Fan , Yu-Chin Hsu , Robert P. Lieli , Yichong Zhang

Estimating how a treatment affects units individually, known as heterogeneous treatment effect (HTE) estimation, is an essential part of decision-making and policy implementation. The accumulation of large amounts of data in many domains,…

Machine Learning · Computer Science 2022-06-28 Christopher Tran , Elena Zheleva

This paper aims to partially identify the distributional treatment effects (DTEs) that depend on the unknown joint distribution of treated and untreated potential outcomes. We construct the DTE bounds using panel data and allow individuals…

Econometrics · Economics 2024-11-08 Heshani Madigasekara , D. S. Poskitt , Lina Zhang , Xueyan Zhao

Estimating causal effects of continuous treatments is a common problem in practice, for example, in studying average dose-response functions. Classical analyses typically assume that all confounders are fully observed, whereas in real-world…

Statistics Theory · Mathematics 2026-04-14 Shuyuan Chen , Peng Zhang , Yifan Cui

Recently, there has been great interest in estimating the conditional average treatment effect using flexible machine learning methods. However, in practice, investigators often have working hypotheses about effect heterogeneity across…

Methodology · Statistics 2023-09-13 Chan Park , Hyunseung Kang

How robust are analyses based on marginal treatment effects (MTE) to violations of Imbens and Angrist (1994) monotonicity? In this note, I present weaker forms of monotonicity under which popular MTE-based estimands still identify the…

Econometrics · Economics 2024-04-05 Henrik Sigstad

In this paper, we construct the simultaneous confidence band (SCB) for the nonparametric component in partially linear panel data models with fixed effects. We remove the fixed effects, and further obtain the estimators of parametric and…

Methodology · Statistics 2017-01-23 Xiujuan Yang , Suigen Yang , Gaorong Li

The effects of treatments on continuous outcomes can be estimated by the mean difference (i.e. by measurement units) and the relative effect scales (i.e. by percentages), both of which provide only a single effect size estimate over the…

Applications · Statistics 2025-11-27 Harri Hemilä , Matti Pirinen

Confidence bands are confidence sets for an unknown function f, containing all functions within some sup-norm distance of an estimator. In the density estimation, regression, and white noise models, we consider the problem of constructing…

Statistics Theory · Mathematics 2013-02-19 Adam D. Bull

We propose a double robust Bayesian inference procedure on the average treatment effect (ATE) under unconfoundedness. For our new Bayesian approach, we first adjust the prior distributions of the conditional mean functions, and then correct…

Econometrics · Economics 2025-02-26 Christoph Breunig , Ruixuan Liu , Zhengfei Yu

Treatment effect estimates are often available from randomized controlled trials as a single average treatment effect for a certain patient population. Estimates of the conditional average treatment effect (CATE) are more useful for…

Methodology · Statistics 2023-09-12 Wouter A. C. van Amsterdam , Rajesh Ranganath

Quantifying treatment effect heterogeneity is a crucial task in many areas of causal inference, e.g. optimal treatment allocation and estimation of subgroup effects. We study the problem of estimating the level sets of the conditional…

Methodology · Statistics 2023-07-03 Matteo Bonvini , Edward H. Kennedy , Luke J. Keele

Kernel matching is a widely used technique for estimating treatment effects, particularly valuable in observational studies where randomized controlled trials are not feasible. While kernel-matching approaches have demonstrated practical…

Methodology · Statistics 2025-12-11 Chong Ding , Zheng Li , Hon Keung Tony Ng , Wei Gao

Instrumental variables (IVs) are widely used for estimating causal effects in the presence of unmeasured confounding. Under the standard IV model, however, the average treatment effect (ATE) is only partially identifiable. To address this,…

Methodology · Statistics 2018-01-08 Linbo Wang , Eric Tchetgen Tchetgen

The conditional average treatment effect (CATE) is the best measure of individual causal effects given baseline covariates. However, the CATE only captures the (conditional) average, and can overlook risks and tail events, which are…

Machine Learning · Statistics 2025-06-05 Nathan Kallus , Miruna Oprescu

Marginal structural models are a popular tool for investigating the effects of time-varying treatments, but they require an assumption of no unobserved confounders between the treatment and outcome. With observational data, this assumption…

Methodology · Statistics 2021-06-10 Matthew Blackwell , Soichiro Yamauchi

We extend methods for finite-sample inference about the average treatment effect (ATE) in randomized experiments with binary outcomes to accommodate stratification (blocking). We present three valid methods that differ in their…

Methodology · Statistics 2025-08-07 Jiaxun Li , Jacob Spertus , Philip B. Stark

Heterogeneous treatment effect (HTE) estimation is critical in medical research. It provides insights into how treatment effects vary among individuals, which can provide statistical evidence for precision medicine. While most existing…

Machine Learning · Statistics 2025-04-25 Ke Wan , Kensuke Tanioka , Toshio Shimokawa

Estimating causal quantities from observational data is crucial for understanding the safety and effectiveness of medical treatments. However, to make reliable inferences, medical practitioners require not only estimating averaged causal…

Machine Learning · Computer Science 2026-03-13 Valentyn Melnychuk , Stefan Feuerriegel , Mihaela van der Schaar

We consider estimation and inference of the effects of a policy in the absence of an untreated or control group. We obtain unbiased estimators of individual (heterogeneous) treatment effects and a consistent and asymptotically normal…

Econometrics · Economics 2026-01-13 Irene Botosaru , Raffaella Giacomini , Martin Weidner
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