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In this paper we give a brief review of semiparametric theory, using as a running example the common problem of estimating an average causal effect. Semiparametric models allow at least part of the data-generating process to be unspecified…

Methodology · Statistics 2017-09-20 Edward H. Kennedy

Network interference has attracted significant attention in the field of causal inference, encapsulating various sociological behaviors where the treatment assigned to one individual within a network may affect the outcomes of others, such…

Machine Learning · Computer Science 2025-02-11 Zhiheng Zhang , Zichen Wang

Noncompliance and missing data often occur in randomized trials, which complicate the inference of causal effects. When both noncompliance and missing data are present, previous papers proposed moment and maximum likelihood estimators for…

Methodology · Statistics 2014-09-04 Hua Chen , Peng Ding , Zhi Geng , Xiao-Hua Zhou

Semiparametric efficient estimation of various multi-valued causal effects, including quantile treatment effects, is important in economic, biomedical, and other social sciences. Under the unconfoundedness condition, adjustment for…

Methodology · Statistics 2023-11-20 Xiaohong Chen , Ying Liu , Shujie Ma , Zheng Zhang

Mediation analysis breaks down the causal effect of a treatment on an outcome into an indirect effect, acting through a third group of variables called mediators, and a direct effect, operating through other mechanisms. Mediation analysis…

Applications · Statistics 2025-05-13 Judith Abécassis , Houssam Zenati , Sami Boumaïza , Julie Josse , Bertrand Thirion

Long-term causal inference has drawn increasing attention in many scientific domains. Existing methods mainly focus on estimating average long-term causal effects by combining long-term observational data and short-term experimental data.…

Machine Learning · Computer Science 2025-03-04 Weilin Chen , Ruichu Cai , Junjie Wan , Zeqin Yang , José Miguel Hernández-Lobato

A key challenge in causal inference from observational studies is the identification and estimation of causal effects in the presence of unmeasured confounding. In this paper, we introduce a novel approach for causal inference that…

Methodology · Statistics 2022-10-17 Ying Zhou , Dingke Tang , Dehan Kong , Linbo Wang

We present new results on average causal effects in settings with unmeasured exposure-outcome confounding. Our results are motivated by a class of estimands, e.g., frequently of interest in medicine and public health, that are currently not…

Methodology · Statistics 2023-12-25 Lan Wen , Aaron L. Sarvet , Mats J. Stensrud

In this paper, we discuss causal inference on the efficacy of a treatment or medication on a time-to-event outcome with competing risks. Although the treatment group can be randomized, there can be confoundings between the compliance and…

Methodology · Statistics 2016-12-06 Cheng Zheng , Ran Dai , Parameswaran Hari , Mei-Jie Zhang

A key question in many network studies is whether the observed correlations between units are primarily due to contagion or latent confounding. Here, we study this question using a segregated graph (Shpitser, 2015) representation of these…

Machine Learning · Computer Science 2025-03-07 Yufeng Wu , Rohit Bhattacharya

Causal inference is a critical research area with multi-disciplinary origins and applications, ranging from statistics, computer science, economics, psychology to public health. In many scientific research, randomized experiments provide a…

Methodology · Statistics 2022-07-26 Jingying Zeng

We propose semi- and non-parametric methods to estimate conditional interventional effects in the setting of two discrete mediators whose causal ordering is unknown. Average interventional indirect effects have been shown to decompose an…

Methodology · Statistics 2023-04-19 Max Rubinstein , Zach Branson , Edward H. Kennedy

A common concern when trying to draw causal inferences from observational data is that the measured covariates are insufficiently rich to account for all sources of confounding. In practice, many of the covariates may only be proxies of the…

Methodology · Statistics 2023-08-31 Oliver Dukes , Ilya Shpitser , Eric J. Tchetgen Tchetgen

To investigate causal mechanisms, causal mediation analysis decomposes the total treatment effect into the natural direct and indirect effects. This paper examines the estimation of the direct and indirect effects in a general treatment…

Statistics Theory · Mathematics 2024-01-24 Lukang Huang , Wei Huang , Oliver Linton , Zheng Zhang

We study the estimation of peer effects through social networks when researchers do not observe the entire network structure. Special cases include sampled networks, censored networks, and misclassified links. We assume that researchers can…

Econometrics · Economics 2025-09-11 Vincent Boucher , Aristide Houndetoungan

When a strict subset of covariates are given, we propose conditional quantile treatment effect to capture the heterogeneity of treatment effects via the quantile sheet that is the function of the given covariates and quantile. We focus on…

Statistics Theory · Mathematics 2020-09-23 Niwen Zhou , Xu Guo , Lixing Zhu

Estimating causal effects is crucial for decision-makers in many applications, but it is particularly challenging with observational network data due to peer interactions. Many algorithms have been proposed to estimate causal effects…

Artificial Intelligence · Computer Science 2024-09-16 Xiaojing Du , Jiuyong Li , Debo Cheng , Lin Liu , Wentao Gao , Xiongren Chen

This study introduces a general semiparametric clusterwise index distribution model to analyze how latent clusters affect the covariate-response relationships. By employing sufficient dimension reduction to account for the effects of…

Methodology · Statistics 2025-09-30 Jen-Chieh Teng , Chin-Tsang Chiang

Understanding how much each variable contributes to an outcome is a central question across disciplines. A causal view of explainability is favorable for its ability in uncovering underlying mechanisms and generalizing to new contexts.…

Methodology · Statistics 2026-03-09 Weihan Zhang , Zijun Gao

This work develops a flexible inferential framework for nonparametric causal inference in time-to-event settings, based on stochastic interventions defined through multiplicative scaling of the intensity governing an intermediate event…

Methodology · Statistics 2026-02-04 Helene Charlotte Wiese Rytgaard , Mark van der Laan
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