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In observational studies, causal inference relies on several key identifying assumptions. One identifiability condition is the positivity assumption, which requires the probability of treatment be bounded away from 0 and 1. That is, for…

Methodology · Statistics 2022-02-21 Yaqian Zhu , Nandita Mitra , Jason Roy

How might a smooth probability distribution be estimated, with accurately quantified uncertainty, from a limited amount of sampled data? Here we describe a field-theoretic approach that addresses this problem remarkably well in one…

Data Analysis, Statistics and Probability · Physics 2018-10-24 Wei-Chia Chen , Ammar Tareen , Justin B. Kinney

Causal inference has received great attention across different fields from economics, statistics, education, medicine, to machine learning. Within this area, inferring causal effects at individual level in observational studies has become…

Methodology · Statistics 2017-02-16 Thai Pham

This article proposes different tests for treatment effect heterogeneity when the outcome of interest, typically a duration variable, may be right-censored. The proposed tests study whether a policy 1) has zero distributional (average)…

Methodology · Statistics 2020-02-19 Pedro H. C. Sant'Anna

Quantile regression is a powerful tool for detecting exposure-outcome associations given covariates across different parts of the outcome's distribution, but has two major limitations when the aim is to infer the effect of an exposure.…

Unmeasured confounding presents a significant challenge in causal inference from observational studies. Classical approaches often rely on collecting proxy variables, such as instrumental variables. However, in applications where the…

Methodology · Statistics 2025-01-16 Xiaochuan Shi , Dehan Kong , Linbo Wang

Estimating heterogeneous treatment effects has become increasingly important in many fields and life and death decisions are now based on these estimates: for example, selecting a personalized course of medical treatment. Recently, a…

Methodology · Statistics 2019-04-01 Sören R. Künzel , Simon J. S. Walter , Jasjeet S. Sekhon

Estimating treatment effects from observational data is of central interest across numerous application domains. Individual treatment effect offers the most granular measure of treatment effect on an individual level, and is the most useful…

Machine Learning · Statistics 2024-08-06 Hengrui Cai , Huaqing Jin , Lexin Li

Neural networks make accurate predictions but often fail to provide reliable uncertainty estimates, especially under covariate distribution shifts between training and testing. To address this problem, we propose a Bayesian framework for…

Machine Learning · Statistics 2025-12-22 Yuli Slavutsky , David M. Blei

Large observational data are increasingly available in disciplines such as health, economic and social sciences, where researchers are interested in causal questions rather than prediction. In this paper, we examine the problem of…

Methodology · Statistics 2021-11-24 Alberto Caron , Gianluca Baio , Ioanna Manolopoulou

Image-based precision medicine aims to personalize treatment decisions based on an individual's unique imaging features so as to improve their clinical outcome. Machine learning frameworks that integrate uncertainty estimation as part of…

Machine Learning · Computer Science 2023-08-11 Joshua Durso-Finley , Jean-Pierre Falet , Raghav Mehta , Douglas L. Arnold , Nick Pawlowski , Tal Arbel

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

How should researchers conduct causal inference when the outcome of interest is latent and measured imperfectly by multiple indicators? We develop a general nonparametric framework for identifying and estimating average treatment effects on…

Methodology · Statistics 2026-04-22 Jiawei Fu , Donald P. Green

Non-randomized treatment effect models are widely used for the assessment of treatment effects in various fields and in particular social science disciplines like political science, psychometry, psychology. More specifically, these are…

Methodology · Statistics 2021-12-02 Debarghya Mukherjee , Moulinath Banerjee , Ya'acov Ritov

Randomized experiments are widely used to estimate the causal effects of a proposed treatment in many areas of science, from medicine and healthcare to the physical and biological sciences, from the social sciences to engineering, to public…

Methodology · Statistics 2022-11-30 Christina Lee Yu , Edoardo M Airoldi , Christian Borgs , Jennifer T Chayes

A major focus of causal inference is the estimation of heterogeneous average treatment effects (HTE) - average treatment effects within strata of another variable of interest such as levels of a biomarker, education, or age strata.…

Methodology · Statistics 2023-01-05 Arman Oganisian , Nandita Mitra , Jason Roy

The heterogeneous treatment effect plays a crucial role in precision medicine.There is evidence that real-world data, even subject to biases, can be employed as supplementary evidence for randomized clinical trials to improve the…

Methodology · Statistics 2025-09-04 Guangcai Mao , Shu Yang , Xiaofei Wang

How to estimate heterogeneity, e.g. the effect of some variable differing across observations, is a key question in political science. Methods for doing so make simplifying assumptions about the underlying nature of the heterogeneity to…

Methodology · Statistics 2021-03-31 Max Goplerud

Estimating the causal effects of an intervention in the presence of confounding is a frequently occurring problem in applications such as medicine. The task is challenging since there may be multiple confounding factors, some of which may…

Methodology · Statistics 2018-11-28 Sonali Parbhoo , Mario Wieser , Volker Roth

Unobserved confounding presents a major threat to causal inference from observational studies. Recently, several authors suggest that this problem may be overcome in a shared confounding setting where multiple treatments are independent…

Methodology · Statistics 2020-11-25 Dehan Kong , Shu Yang , Linbo Wang
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