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As was shown recently, the measurement errors in regressors affect only the power of the rank test, but not its critical region. Noting that, we study the effect of measurement errors on R-estimators in linear model. It is demonstrated that…

Statistics Theory · Mathematics 2016-02-08 Jana Jurečková , Hira L. Koul , Radim Navrátil , Jan Picek

Causal mediation analysis is routinely conducted by applied researchers in a variety of disciplines. The goal of such an analysis is to investigate alternative causal mechanisms by examining the roles of intermediate variables that lie in…

Methodology · Statistics 2010-11-05 Kosuke Imai , Luke Keele , Teppei Yamamoto

Making causal inferences from observational studies can be challenging when confounders are missing not at random. In such cases, identifying causal effects is often not guaranteed. Motivated by a real example, we consider a…

Methodology · Statistics 2023-10-31 Jian Sun , Bo Fu

We consider causal inference in the presence of unobserved confounding. We study the case where a proxy is available for the unobserved confounding in the form of a network connecting the units. For example, the link structure of a social…

Machine Learning · Statistics 2019-06-03 Victor Veitch , Yixin Wang , David M. Blei

Mediation analysis assesses the extent to which the exposure affects the outcome indirectly through a mediator and the extent to which it operates directly through other pathways. The popular Baron-Kenny approach estimates the indirect and…

Methodology · Statistics 2025-04-08 Mingrui Zhang , Peng Ding

We develop a new approach for identifying and estimating average causal effects in panel data under a linear factor model with unmeasured confounders. Compared to other methods tackling factor models such as synthetic controls and matrix…

Methodology · Statistics 2021-08-10 Guido Imbens , Nathan Kallus , Xiaojie Mao

"M-Bias," as it is called in the epidemiologic literature, is the bias introduced by conditioning on a pretreatment covariate due to a particular "M-Structure" between two latent factors, an observed treatment, an outcome, and a "collider."…

Statistics Theory · Mathematics 2014-08-05 Peng Ding , Luke Miratrix

Additive noise models (ANMs) are an important setting studied in causal inference. Most of the existing works on ANMs assume causal sufficiency, i.e., there are no unobserved confounders. This paper focuses on confounded ANMs, where a set…

Methodology · Statistics 2024-07-16 Muhammad Qasim Elahi , Mahsa Ghasemi , Murat Kocaoglu

This paper develops a robust and efficient method for policy learning from observational data in the presence of unobserved confounding, complementing existing instrumental variable (IV) based approaches. We employ the marginal sensitivity…

Econometrics · Economics 2025-07-29 Zequn Jin , Gaoqian Xu , Xi Zheng , Yahong Zhou

Increasingly large parameter spaces, used to more accurately model precision observables in physics, can paradoxically lead to large deviations in the inferred parameters of interest -- a bias known as volume projection effects -- when…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-29 Alexander Reeves , Pierre Zhang , Henry Zheng

This paper considers errors-in-variables models in a high-dimensional setting where the number of covariates can be much larger than the sample size, and there are only a small number of non-zero covariates. The presence of measurement…

Methodology · Statistics 2018-09-03 Linh Nghiem , Cornelis Potgieter

We examine interval estimation of the effect of a treatment T on an outcome Y given the existence of an unobserved confounder U. Using H\"older's inequality, we derive a set of bounds on the confounding bias |E[Y|T=t]-E[Y|do(T=t)]| based on…

Machine Learning · Computer Science 2021-07-14 Serge Assaad , Shuxi Zeng , Henry Pfister , Fan Li , Lawrence Carin

We consider structural equation modeling (SEM) with latent variables for diffusion processes based on high-frequency data. The quasi-likelihood estimators for parameters in the SEM are proposed. The goodness-of-fit test is derived from the…

Statistics Theory · Mathematics 2023-06-09 Shogo Kusano , Masayuki Uchida

An important problem in causal inference is to break down the total effect of a treatment on an outcome into different causal pathways and to quantify the causal effect in each pathway. For instance, in causal fairness, the total effect of…

Machine Learning · Statistics 2022-01-10 Lu Cheng , Ruocheng Guo , Huan Liu

The linear regression models are widely used statistical techniques in numerous practical applications. The standard regression model requires several assumptions about the regres- sors and the error term. The regression parameters are…

Methodology · Statistics 2016-10-23 P. Vellaisamy

Measurement error is a pervasive challenge across many disciplines, yet its impact on sample size determination and the accuracy and precision of estimators regarding the association between an exposure and an outcome remains understudied…

Methodology · Statistics 2025-05-27 Honghyok Kim

Machine learning (ML) approaches to data analysis are now widely adopted in many fields including epidemiology and medicine. To apply these approaches, confounds must first be removed as is commonly done by featurewise removal of their…

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

As Large Language Models (LLMs) are increasingly deployed to handle various natural language processing (NLP) tasks, concerns regarding the potential negative societal impacts of LLM-generated content have also arisen. To evaluate the…

Computation and Language · Computer Science 2025-02-25 Song Wang , Peng Wang , Tong Zhou , Yushun Dong , Zhen Tan , Jundong Li

Machine learning model bias can arise from dataset composition: correlated sensitive features can distort the downstream classification model's decision boundary and lead to performance differences along these features. Existing de-biasing…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Miao Zhang , Zee fryer , Ben Colman , Ali Shahriyari , Gaurav Bharaj