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This paper addresses the problem of identifying and estimating the causal effect of a treatment in the presence of unmeasured confounding and various types of right-censoring. Examples of these censoring mechanisms are administrative…

Statistics Theory · Mathematics 2025-03-19 Ilias Willems , Sara Rutten , Gilles Crommen , Ingrid Van Keilegom

Causal mediation analysis is an important statistical method in social and medical studies, as it can provide insights about why an intervention works and inform the development of future interventions. Currently, most causal mediation…

Methodology · Statistics 2016-01-26 Cheng Zheng , David C. Atkins , Melissa A. Lewis , Xiao-Hua Zhou

Mediation analysis seeks to identify and quantify the paths by which an exposure affects an outcome. Intermediate variables which are effected by the exposure and which effect the outcome are known as mediators. There exists extensive work…

Methodology · Statistics 2020-11-13 James P. Long , Ehsan Irajizad , James D. Doecke , Kim-Anh Do , Min Jin Ha

Causal mediation analysis is a powerful tool for disentangling the total effect of a treatment into its direct effect on the outcome and its indirect effect mediated through an intermediate variable. However, in observational studies,…

Econometrics · Economics 2026-04-28 Yuhao Deng , Haoyu Wei , Zhongzhe Ouyang

Interval censoring occurs when event times are only known to fall between scheduled assessments, a common design in clinical trials, epidemiology, and reliability studies. Standard right-censoring methods, such as Kaplan-Meier and Cox…

Methodology · Statistics 2025-09-04 J. T. Korley

The goal of causal mediation analysis, often described within the potential outcomes framework, is to decompose the effect of an exposure on an outcome of interest along different causal pathways. Using the assumption of sequential…

Methodology · Statistics 2021-11-09 Lexi Rene , Antonio R. Linero , Elizabeth Slate

This paper presents a framework for causal inference in the presence of censored data,where the failure time is marked by a continuous variable referred to as a mark.The mark is observed after treatment and is not meaningful when the…

Methodology · Statistics 2026-04-20 Lianqiang Qu , Long Lv , Liuquan Sun

In the presence of competing events, many investigators are interested in a direct treatment effect on the event of interest that does not capture treatment effects on competing events. Classical survival analysis methods that treat…

Methodology · Statistics 2025-10-29 Takuya Kawahara , Sean McGrath , Jessica G Young

We discuss causal mediation analyses for survival data and propose a new approach based on the additive hazards model. The emphasis is on a dynamic point of view, that is, understanding how the direct and indirect effects develop over time.…

Causal mediation analysis can improve understanding of the mechanisms underlying epidemiologic associations. However, the utility of natural direct and indirect effect estimation has been limited by the assumption of no confounder of the…

Applications · Statistics 2020-06-16 Kara E. Rudolph , Oleg Sofrygin , Wenjing Zheng , Mark J. van der Laan

Traditional mediation analysis typically examines the relations among an intervention, a time-invariant mediator, and a time-invariant outcome variable. Although there may be a direct effect of the intervention on the outcome, there is a…

Applications · Statistics 2020-08-28 Xizhen Cai , Donna L. Coffman , Megan E. Piper , Runze Li

Based on the expectile loss function and the adaptive LASSO penalty, the paper proposes and studies the estimation methods for the accelerated failure time (AFT) model. In this approach, we need to estimate the survival function of the…

Statistics Theory · Mathematics 2024-02-06 Gabriela Ciuperca

Balanced representation learning methods have been applied successfully to counterfactual inference from observational data. However, approaches that account for survival outcomes are relatively limited. Survival data are frequently…

Machine Learning · Statistics 2021-03-04 Paidamoyo Chapfuwa , Serge Assaad , Shuxi Zeng , Michael J. Pencina , Lawrence Carin , Ricardo Henao

Causal indirect and direct effects provide an interpretable method for decomposing the total effect of an exposure on an outcome into the effect through a mediator and the effect through all other pathways. When the mediator is a biomarker,…

Methodology · Statistics 2021-08-02 Ariel Chernofsky , Ronald J. Bosch , Judith J. Lok

The use of causal mediation analysis to evaluate the pathways by which an exposure affects an outcome is widespread in the social and biomedical sciences. Recent advances in this area have established formal conditions for identification…

Methodology · Statistics 2018-08-14 Isabel R. Fulcher , Xu Shi , Eric J. Tchetgen Tchetgen

Mediation analysis is a form of causal inference that investigates indirect effects and causal mechanisms. Confidence intervals for indirect effects play a central role in conducting inference. The problem is non-standard leading to…

Econometrics · Economics 2024-12-17 Kees Jan van Garderen , Noud van Giersbergen

Causal mediation analysis seeks to investigate how the treatment effect of an exposure on outcomes is mediated through intermediate variables. Although many applications involve longitudinal data, the existing methods are not directly…

Applications · Statistics 2021-02-24 Shuxi Zeng , Stacy Rosenbaum , Elizabeth Archie , Susan Alberts , Fan Li

Mediation analysis for survival outcomes is challenging. Most existing methods quantify the treatment effect using the hazard ratio (HR) and attempt to decompose the HR into the direct effect of treatment plus an indirect, or mediated,…

Nonparametric and semiparametric methods are commonly used in survival analysis to mitigate the bias due to model misspecification. However, such methods often cannot estimate upper-tail survival quantiles when a sizable proportion of the…

Methodology · Statistics 2019-07-19 Yifan Wang , Tian You , Martin Lysy

We are interested in the estimation of average treatment effects based on right-censored data of an observational study. We focus on causal inference of differences between t-year absolute event risks in a situation with competing risks. We…

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