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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…

In the last decade, machine learning techniques have gained popularity for estimating causal effects. One machine learning approach that can be used for estimating an average treatment effect is Double/debiased machine learning (DML)…

Econometrics · Economics 2025-01-17 Daniele Ballinari , Nora Bearth

When examining a contrast between two interventions, longitudinal causal inference studies frequently encounter positivity violations when one or both regimes are impossible to observe for some subjects. Existing weighting methods either…

Methodology · Statistics 2025-08-11 Alec McClean , Iván Díaz

Propensity score trimming, which discards subjects with propensity scores below a threshold, is a common way to address positivity violations that complicate causal effect estimation. However, most works on trimming assume treatment is…

Methodology · Statistics 2024-07-31 Zach Branson , Edward H. Kennedy , Sivaraman Balakrishnan , Larry Wasserman

Propensity score weighting is a tool for causal inference to adjust for measured confounders. Survey data are often collected under complex sampling designs such as multistage cluster sampling, which presents challenges for propensity score…

Methodology · Statistics 2016-07-27 Shu Yang

Sequential recommender systems train their models based on a large amount of implicit user feedback data and may be subject to biases when users are systematically under/over-exposed to certain items. Unbiased learning based on inverse…

Information Retrieval · Computer Science 2023-03-16 Chen Xu , Jun Xu , Xu Chen , Zhenghua Dong , Ji-Rong Wen

Propensity score matching (PSM) has been widely used to mitigate confounding in observational studies, although complications arise when the covariates used to estimate the PS are only partially observed. Multiple imputation (MI) is a…

Applications · Statistics 2021-07-22 Albee Y. Ling , Maria E. Montez-Rath , Maya B. Mathur , Kris Kapphahn , Manisha Desai

Generalized linear models are often assumed to fit propensity scores, which are used to compute inverse probability weighted (IPW) estimators. In order to derive the asymptotic properties of IPW estimators, the propensity score is supposed…

Methodology · Statistics 2017-04-25 Julieta Molina , Mariela Sued , Marina Valdora

Propensity score matching is commonly used to draw causal inference from observational survival data. However, its asymptotic properties have yet to be established, and variance estimation is still open to debate. We derive the statistical…

Methodology · Statistics 2024-12-24 Tongrong Wang , Honghe Zhao , Shu Yang , Shuhan Tang , Zhanglin Cui , Li Li , Douglas E. Faries

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

This paper develops new methods for causal inference in observational studies on a single large network of interconnected units, addressing two key challenges: long-range dependence among units and the presence of general interference. We…

Methodology · Statistics 2025-11-24 Jizhou Liu , Dake Zhang , Eric J. Tchetgen Tchetgen

In experimental design and causal inference, it may happen that the treatment is not defined on individual experimental units, but rather on pairs or, more generally, on groups of units. For example, teachers may choose pairs of students…

Statistics Theory · Mathematics 2018-01-24 Panos Toulis , Alexander Volfovsky , Edoardo M. Airoldi

Comparative meta-analyses of groups of subjects by integrating multiple observational studies rely on estimated propensity scores (PSs) to mitigate covariate imbalances. However, PS estimation grapples with the theoretical and practical…

Methodology · Statistics 2024-05-09 Subharup Guha , Yi Li

We study the causal effect with a functional treatment variable, where practical applications often arise in neuroscience, biomedical sciences, etc. Previous research concerning the effect of a functional variable on an outcome is typically…

Methodology · Statistics 2025-05-20 Ruoxu Tan , Wei Huang , Zheng Zhang , Guosheng Yin

This paper deals with the problem of estimating the probabilities of causation when treatment and effect are not binary. Tian and Pearl derived sharp bounds for the probability of necessity and sufficiency (PNS), the probability of…

Artificial Intelligence · Computer Science 2022-08-23 Ang Li , Judea Pearl

Propensity score matching (PSM) is a pseudo-experimental method that uses statistical techniques to construct an artificial control group by matching each treated unit with one or more untreated units of similar characteristics. To date,…

Statistics Theory · Mathematics 2022-05-27 Yukun Liu , Jing Qin

We propose a Bayesian propensity score-augmented latent factor model for causal inference with time-series cross-sectional data. The framework explicitly models the treatment assignment mechanism by incorporating latent factor loadings,…

Methodology · Statistics 2026-03-27 Licheng Liu

Propensity score weighting is widely used to improve the representativeness and correct the selection bias in the voluntary sample. The propensity score is often developed using a model for the sampling probability, which can be subject to…

Methodology · Statistics 2022-07-20 Hengfang Wang , Jae Kwang Kim

The two-stage process of propensity score analysis (PSA) includes a design stage where propensity scores are estimated and implemented to approximate a randomized experiment and an analysis stage where treatment effects are estimated…

Methodology · Statistics 2019-07-16 Shirley Liao , Corwin Zigler

In this article, we propose the outcome-adjusted balance measure to perform model selection for the generalized propensity score (GPS), which serves as an essential component in estimation of the pairwise average treatment effects (ATEs) in…

Methodology · Statistics 2021-07-28 Honghe Zhao , Shu Yang
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