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In the context of a binary treatment, matching is a well-established approach in causal inference. However, in the context of a continuous treatment or exposure, matching is still underdeveloped. We propose an innovative matching approach…

The estimation of causal effects is a fundamental goal in the field of causal inference. However, it is challenging for various reasons. One reason is that the exposure (or treatment) is naturally continuous in many real-world scenarios.…

Methodology · Statistics 2023-12-01 Suhwan Bong , Kwonsang Lee

Exposure to fine particulate matter ($PM_{2.5}$) poses significant health risks and accurately determining the shape of the relationship between $PM_{2.5}$ and health outcomes has crucial policy ramifications. While various statistical…

Applications · Statistics 2023-06-06 Michael Cork , Daniel Mork , Francesca Dominici

Matching estimators for average treatment effects are widely used in the binary treatment setting, in which missing potential outcomes are imputed as the average of observed outcomes of all matches for each unit. With more than two…

Methodology · Statistics 2019-04-29 Anthony D. Scotina , Francesca L. Beaudoin , Roee Gutman

The propensity score is a common tool for estimating the causal effect of a binary treatment in observational data. In this setting, matching, subclassification, imputation, or inverse probability weighting on the propensity score can…

Methodology · Statistics 2018-01-03 Michael J Lopez , Roee Gutman

Numerous studies have examined the associations between long-term exposure to fine particulate matter (PM2.5) and adverse health outcomes. Recently, many of these studies have begun to employ high-resolution predicted PM2.5 concentrations,…

Methodology · Statistics 2022-11-29 Kevin P. Josey , Priyanka deSouza , Xiao Wu , Danielle Braun , Rachel Nethery

This paper presents an approach to estimating the health effects of an environmental hazard. The approach is general in nature, but is applied here to the case of air pollution. It uses a computer model involving ambient pollution and…

Applications · Statistics 2007-11-01 Gavin Shaddick , Duncan Lee , James V. Zidek , Ruth Salway

Quantifying the causal effects of continuous exposures on outcomes of interest is critical for social, economic, health, and medical research. However, most existing software packages focus on binary exposures. We develop the CausalGPS R…

Computation · Statistics 2023-10-03 Naeem Khoshnevis , Xiao Wu , Danielle Braun

Evaluating the causal health effects of multivariate, continuous exposures, such as air pollution mixtures, is a critical public health challenge. A primary obstacle is the frequent violation of the positivity assumption, which renders the…

Methodology · Statistics 2026-05-05 Zhuochao Huang , Kejin Dong , Tuo Lin , Joseph Antonelli

Methods for causal inference are well developed for binary and continuous exposures, but in many settings, the exposure has a substantial mass at zero-such exposures are called semi-continuous. We propose a general causal framework for such…

When assessing the causal effect of a binary exposure using observational data, confounder imbalance across exposure arms must be addressed. Matching methods, including propensity score-based matching, can be used to deconfound the causal…

Methodology · Statistics 2024-10-01 Ernesto Ulloa-Pérez , Marco Carone , Alex Luedtke

Motivated by environmental policy questions, we address the challenges of estimation, change point detection, and uncertainty quantification of a causal exposure-response function (CERF). Under a potential outcome framework, the CERF…

Methodology · Statistics 2023-01-27 Boyu Ren , Xiao Wu , Danielle Braun , Natesh Pillai , Francesca Dominici

In this paper, we undertake a case study to estimate a causal exposure-response function (ERF) for long-term exposure to fine particulate matter (PM$_{2.5}$) and respiratory hospitalizations in socioeconomically disadvantaged children using…

Methodology · Statistics 2024-07-15 Jenny J. Lee , Xiao Wu , Francesca Dominici , Rachel C. Nethery

We propose causal effect estimators based on empirical Fr\'{e}chet means and operator-valued kernels, tailored to functional data spaces. These methods address the challenges of high-dimensionality, sequential ordering, and model complexity…

Methodology · Statistics 2025-06-04 Yordan P. Raykov , Hengrui Luo , Justin D. Strait , Wasiur R. KhudaBukhsh

The proximal causal inference framework enables the identification and estimation of causal effects in the presence of unmeasured confounding by leveraging two disjoint sets of observed strong proxies: negative control treatments and…

Methodology · Statistics 2025-12-16 Antonio Olivas-Martinez , Peter B. Gilbert , Andrea Rotnitzky

Exposure measurement error is a ubiquitous but often overlooked challenge in causal inference with observational data. Existing methods accounting for exposure measurement error largely rely on restrictive parametric assumptions, while…

Environmental epidemiologists are often interested in estimating the effect of time-varying functions of the exposure history on health outcomes. However, the individual exposure measurements that constitute the history upon which an…

Methodology · Statistics 2025-05-23 Ce Yang , Ning Zhang , Jiaxuan Li , Unnati V. Mehta , Jaime E. Hart , Donna Spiegelman , Molin Wang

Existing causal methods for time-varying exposure and time-varying confounding focus on estimating the average causal effect of a time-varying binary treatment on an end-of-study outcome, offering limited tools for characterizing marginal…

Methodology · Statistics 2026-01-21 Yu Luo , Kuan Liu , Ramandeep Singh , Daniel J. Graham

The health effects of environmental exposures have been studied for decades, typically using standard regression models to assess exposure-outcome associations found in observational non-experimental data. We propose and illustrate a…

Applications · Statistics 2017-09-20 Marie-Abele C. Bind , Donald B. Rubin

Assessing the causal effect of time-varying exposures on recurrent event processes is challenging in the presence of a terminating event. Our objective is to estimate both the short-term and delayed marginal causal effects of exposures on…

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