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Causal effect estimation has been studied by many researchers when only observational data is available. Sound and complete algorithms have been developed for pointwise estimation of identifiable causal queries. For non-identifiable causal…

机器学习 · 统计学 2023-06-26 Ziwei Jiang , Lai Wei , Murat Kocaoglu

We investigate the problem of inferring the causal predictors of a response $Y$ from a set of $d$ explanatory variables $(X^1,\dots,X^d)$. Classical ordinary least squares regression includes all predictors that reduce the variance of $Y$.…

统计理论 · 数学 2018-05-29 Niklas Pfister , Peter Bühlmann , Jonas Peters

Population adjustment methods such as matching-adjusted indirect comparison (MAIC) are increasingly used to compare marginal treatment effects when there are cross-trial differences in effect modifiers and limited patient-level data. MAIC…

统计方法学 · 统计学 2022-12-06 Antonio Remiro-Azócar , Anna Heath , Gianluca Baio

Applied researchers in biomedicine and related fields are often interested in estimating the causal effect of a treatment or intervention. Although randomized clinical trials are considered the gold standard for establishing causal effects,…

Introduction: Methods now exist to detect residual confounding. One requires an "indicator" with two key properties: conditional independence of the outcome (given exposure and measured covariates) absent confounding and other model…

统计方法学 · 统计学 2015-10-26 W. Dana Flanders , Matthew J. Strickland , Mitchel Klein

In this work, we consider a multivariate regression model with one-sided errors. We assume for the regression function to lie in a general H\"{o}lder class and estimate it via a nonparametric local polynomial approach that consists of…

统计理论 · 数学 2021-02-11 Leonie Selk , Charles Tillier , Orlando Marigliano

Censored quantile regression has emerged as a prominent alternative to classical Cox's proportional hazards model or accelerated failure time model in both theoretical and applied statistics. While quantile regression has been extensively…

统计方法学 · 统计学 2024-08-27 Taehwa Choi , Seohyeon Park , Hunyong Cho , Sangbum Choi

Recent works have proposed regression models which are invariant across data collection environments. These estimators often have a causal interpretation under conditions on the environments and type of invariance imposed. One recent…

统计方法学 · 统计学 2023-11-10 James P. Long , Hongxu Zhu , Kim-Anh Do , Min Jin Ha

Instrumental variables regression is a tool that is commonly used in the analysis of observational data. The instrumental variables are used to make causal inference about the effect of a certain exposure in the presence of unmeasured…

统计方法学 · 统计学 2023-09-07 Valentin Vancak , Arvid Sjölander

Bridging the gap between internal and external validity is crucial for heterogeneous treatment effect estimation. Randomised controlled trials (RCTs), favoured for their internal validity due to randomisation, often encounter challenges in…

统计方法学 · 统计学 2026-04-03 Evangelos Dimitriou , Edwin Fong , Jens Magelund Tarp , Karla Diaz-Ordaz , Brieuc Lehmann

When studying treatment effects in multilevel studies, investigators commonly use (semi-)parametric estimators, which make strong parametric assumptions about the outcome, the treatment, and/or the correlation structure between study units…

统计方法学 · 统计学 2022-05-12 Chan Park , Hyunseung Kang

The regression discontinuity (RD) design is a popular approach to causal inference in non-randomized studies. This is because it can be used to identify and estimate causal effects under mild conditions. Specifically, for each subject, the…

统计方法学 · 统计学 2014-02-11 George Karabatsos , Stephen G. Walker

Suppose that we are interested in the average causal effect of a binary treatment on an outcome when this relationship is confounded by a binary confounder. Suppose that the confounder is unobserved but a nondifferential proxy of it is…

统计方法学 · 统计学 2020-08-25 Jose M. Peña

This paper investigates new ways of estimating and identifying causal, noncausal, and mixed causal-noncausal autoregressive models driven by a non-Gaussian error sequence. We do not assume any parametric distribution function for the…

计量经济学 · 经济学 2022-11-28 Alain Hecq , Daniel Velasquez-Gaviria

The parametric g-formula is an approach to estimating causal effects of sustained treatment strategies from observational data. An often cited limitation of the parametric g-formula is the g-null paradox: a phenomenon in which model…

统计方法学 · 统计学 2022-06-22 Sean McGrath , Jessica G. Young , Miguel A. Hernán

Traditional statistical inference in cluster randomized trials typically invokes the asymptotic theory that requires the number of clusters to approach infinity. In this article, we propose an alternative conformal causal inference…

统计方法学 · 统计学 2024-10-03 Bingkai Wang , Fan Li , Mengxin Yu

We develop a nonparametric Bayesian modeling framework for clustered ordinal responses in developmental toxicity studies, which typically exhibit extensive heterogeneity. The primary focus of these studies is to examine the dose-response…

统计方法学 · 统计学 2024-08-22 Jizhou Kang , Athanasios Kottas

In many problems, the measured variables (e.g., image pixels) are just mathematical functions of the latent causal variables (e.g., the underlying concepts or objects). For the purpose of making predictions in changing environments or…

机器学习 · 计算机科学 2024-08-13 Kun Zhang , Shaoan Xie , Ignavier Ng , Yujia Zheng

The paper deals with asymptotic properties of the adaptive procedure proposed in the author paper, 2007, for estimating a unknown nonparametric regression. We prove that this procedure is asymptotically efficient for a quadratic risk, i.e.…

统计理论 · 数学 2008-10-08 Leonid Galtchouk , Serguey Pergamenshchikov

This paper investigates the nonparametric estimation of a circular regression function in an errors-in-variables framework. Two settings are studied, depending on whether the covariates are circular or linear. Adaptive estimators are…

统计理论 · 数学 2025-08-27 Tien Dat Nguyen , Thanh Mai Pham Ngoc