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Estimating the long-term effects of treatments is of interest in many fields. A common challenge in estimating such treatment effects is that long-term outcomes are unobserved in the time frame needed to make policy decisions. One approach…

Methodology · Statistics 2024-08-23 Susan Athey , Raj Chetty , Guido Imbens , Hyunseung Kang

We provide an inferential framework to assess variable importance for heterogeneous treatment effects. This assessment is especially useful in high-risk domains such as medicine, where decision makers hesitate to rely on black-box treatment…

Methodology · Statistics 2026-05-11 Pawel Morzywolek , Peter B. Gilbert , Alex Luedtke

Recent methods to improve generalizations from nonrandom samples typically invoke assumptions such as the strong ignorability of sample selection that are often controversial in practice to derive point estimates. Rather than focus on the…

Applications · Statistics 2017-01-06 Wendy Chan

Certain causal models involving unmeasured variables induce no independence constraints among the observed variables but imply, nevertheless, inequality contraints on the observed distribution. This paper derives a general formula for such…

Artificial Intelligence · Computer Science 2013-02-21 Judea Pearl

Identifying covariates that modify treatment effects is a central problem in causal inference. Yet existing data-adaptive procedures do not provide finite-sample control over the expected number of false discoveries, risking spurious…

Methodology · Statistics 2026-05-12 Falco J. Bargagli-Stoffi , Omar Melikechi

Studying causal effects of continuous treatments is important for gaining a deeper understanding of many interventions, policies, or medications, yet researchers are often left with observational studies for doing so. In the observational…

Methodology · Statistics 2023-06-16 Jared D. Huling , Noah Greifer , Guanhua Chen

We propose a Bayesian nonparametric (BNP) approach to causal inference using observational data consisting of outcome, treatment, and a set of confounders. The conditional distribution of the outcome given treatment and confounders is…

Methodology · Statistics 2025-12-01 Yongseok Hur , Joonhyuk Jung , Juhee Lee

In a general set-up that allows unmeasured confounding, we show that the conditional average treatment effect on the treated can be identified as one of two possible values. Unlike existing causal inference methods, we do not require an…

Methodology · Statistics 2023-12-29 Zikun Qin , Bikram Karmakar

Estimation of individual treatment effects is commonly used as the basis for contextual decision making in fields such as healthcare, education, and economics. However, it is often sufficient for the decision maker to have estimates of…

Machine Learning · Computer Science 2020-08-13 Maggie Makar , Fredrik D. Johansson , John Guttag , David Sontag

Causal inference with observational data can be performed under an assumption of no unobserved confounders (unconfoundedness assumption). There is, however, seldom clear subject-matter or empirical evidence for such an assumption. We…

Methodology · Statistics 2023-11-13 Minna Genbäck , Xavier de Luna

Entropic causal inference is a framework for inferring the causal direction between two categorical variables from observational data. The central assumption is that the amount of unobserved randomness in the system is not too large. This…

Machine Learning · Statistics 2021-01-12 Spencer Compton , Murat Kocaoglu , Kristjan Greenewald , Dmitriy Katz

Evaluating the value of new clinical treatment rules based on patient characteristics is important but often complicated by hidden confounding factors in observational studies. Standard methods for estimating the average patient outcome if…

Methodology · Statistics 2025-08-21 Johannes Hruza , Erin Gabriel , Arvid Sjölander , Samir Bhatt , Michael Sachs

A fundamental challenge in observational causal inference is that assumptions about unconfoundedness are not testable from data. Assessing sensitivity to such assumptions is therefore important in practice. Unfortunately, some existing…

Methodology · Statistics 2019-01-15 Alexander Franks , Alexander D'Amour , Avi Feller

It is known that the hazard ratio lacks a useful causal interpretation. Even for data from a randomized controlled trial, the hazard ratio suffers from built-in selection bias as, over time, the individuals at risk in the exposed and…

Statistics Theory · Mathematics 2022-11-01 Richard Post , Edwin van den Heuvel , Hein Putter

This chapter covers different approaches to policy evaluation for assessing the causal effect of a treatment or intervention on an outcome of interest. As an introduction to causal inference, the discussion starts with the experimental…

Econometrics · Economics 2019-10-03 Martin Huber

Site occupancy models are routinely used to estimate the probability of species presence from either abundance or presence-absence data collected across sites with repeated sampling occasions. In the last two decades, a broad class of…

Methodology · Statistics 2022-04-05 Wen-Han Hwang , Jakub Stoklosa , Lu-Fang Chen

Unobserved confounding is a fundamental challenge for estimating causal effects. To address unobserved confounding, recent literature has turned to two different approaches -- proxy variables and the use of multiple treatments. The first…

Methodology · Statistics 2026-05-20 Aytijhya Saha , Stephen Bates , Devavrat Shah

In settings where units' outcomes are affected by others' treatments, there has been a proliferation of ways to quantify effects of treatments on outcomes, including via indirect exposure to other units' treatments. Here we consider two…

Methodology · Statistics 2026-03-10 Sahil Loomba , Dean Eckles

We propose a method for estimation and inference for bounds for heterogeneous causal effect parameters in general sample selection models where the treatment can affect whether an outcome is observed and no exclusion restrictions are…

Econometrics · Economics 2024-07-29 Phillip Heiler

Estimating the joint effect of a multivariate, continuous exposure is crucial, particularly in environmental health where interest lies in simultaneously evaluating the impact of multiple environmental pollutants on health. We develop novel…