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This paper concerns robust inference on average treatment effects following model selection. In the selection on observables framework, we show how to construct confidence intervals based on a doubly-robust estimator that are robust to…

Statistics Theory · Mathematics 2018-04-13 Max H. Farrell

This paper studies the high-dimensional mixed linear regression (MLR) where the output variable comes from one of the two linear regression models with an unknown mixing proportion and an unknown covariance structure of the random…

Methodology · Statistics 2020-11-10 Linjun Zhang , Rong Ma , T. Tony Cai , Hongzhe Li

Inferring causal relationships or related associations from observational data can be invalidated by the existence of hidden confounding. We focus on a high-dimensional linear regression setting, where the measured covariates are affected…

Methodology · Statistics 2021-07-22 Zijian Guo , Domagoj Ćevid , Peter Bühlmann

Consider the problem of estimating average treatment effects when a large number of covariates are used to adjust for possible confounding through outcome regression and propensity score models. The conventional approach of model building…

Statistics Theory · Mathematics 2018-01-31 Zhiqiang Tan

High-dimensional statistical inference deals with models in which the the number of parameters p is comparable to or larger than the sample size n. Since it is usually impossible to obtain consistent procedures unless $p/n\rightarrow0$, a…

Statistics Theory · Mathematics 2013-03-13 Sahand N. Negahban , Pradeep Ravikumar , Martin J. Wainwright , Bin Yu

Linear mixed models (LMMs) are suitable for clustered data and are common in biometrics, medicine, survey statistics and many other fields. In those applications, it is essential to carry out valid inference after selecting a subset of the…

Methodology · Statistics 2023-09-14 Peter Kramlinger , Ulrike Schneider , Tatyana Krivobokova

We investigate the problem of statistical inference for logistic regression with high-dimensional covariates in settings where dependence among individuals is induced by an underlying Markov random field. Going beyond the pairwise…

Statistics Theory · Mathematics 2026-03-23 Josh Miles , Sohom Bhattacharya

Deep learning has achieved remarkable success across many domains, but it has also created a growing demand for interpretability in model predictions. Although many explainable machine learning methods have been proposed, post-hoc…

Machine Learning · Computer Science 2026-01-28 Shijian Xu , Marcello Massimo Negri , Volker Roth

We consider a linear mixed-effects model with a clustered structure, where the parameters are estimated using maximum likelihood (ML) based on possibly unbalanced data. Inference with this model is typically done based on asymptotic theory,…

Statistics Theory · Mathematics 2021-03-30 Chih-Hao Chang , Hsin-Cheng Huang , Ching-Kang Ing

Statistical inference in high dimensional settings has recently attracted enormous attention within the literature. However, most published work focuses on the parametric linear regression problem. This paper considers an important…

Methodology · Statistics 2019-11-14 Qi Gao , Randy C. S. Lai , Thomas C. M. Lee , Yao Li

We introduce inferential methods for prediction based on functional random effects in generalized functional mixed effects models. This is similar to the inference for random effects in generalized linear mixed effects models (GLMMs), but…

Methodology · Statistics 2025-01-15 Xinkai Zhou , Erjia Cui , Joseph Sartini , Ciprian Crainiceanu

We develop new econometric methods for estimation and inference in high-dimensional panel data models with interactive fixed effects. Our approach can be regarded as a non-trivial extension of the very popular common correlated effects…

Econometrics · Economics 2025-08-11 Maximilian Ruecker , Michael Vogt , Oliver Linton , Christopher Walsh

We explore how violations of the often-overlooked standard assumption that the random effects model matrix in a linear mixed model is fixed (and thus independent of the random effects vector) can lead to bias in estimators of estimable…

Statistics Theory · Mathematics 2020-06-23 Andrew T. Karl , Dale L. Zimmerman

Marginal structural models are a popular tool for investigating the effects of time-varying treatments, but they require an assumption of no unobserved confounders between the treatment and outcome. With observational data, this assumption…

Methodology · Statistics 2021-06-10 Matthew Blackwell , Soichiro Yamauchi

High-dimensional linear regression has been thoroughly studied in the context of independent and identically distributed data. We propose to investigate high-dimensional regression models for independent but non-identically distributed…

Statistics Theory · Mathematics 2026-05-20 Jérémie Bigot , Issa-Mbenard Dabo , Camille Male

Debiased inference for high-dimensional regression models has received substantial recent attention to ensure regularized estimators have valid inference. All existing methods focus on achieving Neyman orthogonality through explicitly…

Methodology · Statistics 2025-12-16 Yi Wang , Yuhao Deng , Yu Gu , Yuanjia Wang , Donglin Zeng

The purpose of this paper is to propose methodologies for statistical inference of low-dimensional parameters with high-dimensional data. We focus on constructing confidence intervals for individual coefficients and linear combinations of…

Methodology · Statistics 2012-11-05 Cun-Hui Zhang , Stephanie S. Zhang

This paper studies inference in linear models with a high-dimensional parameter matrix that can be well-approximated by a ``spiked low-rank matrix.'' A spiked low-rank matrix has rank that grows slowly compared to its dimensions and nonzero…

Statistics Theory · Mathematics 2023-01-04 Victor Chernozhukov , Christian Hansen , Yuan Liao , Yinchu Zhu

We propose an extensive framework for additive regression models for correlated functional responses, allowing for multiple partially nested or crossed functional random effects with flexible correlation structures for, e.g., spatial,…

Methodology · Statistics 2013-11-26 Fabian Scheipl , Ana-Maria Staicu , Sonja Greven

Large datasets make it possible to build predictive models that can capture heterogenous relationships between the response variable and features. The mixture of high-dimensional linear experts model posits that observations come from a…

Statistics Theory · Mathematics 2022-11-01 Adel Javanmard , Simeng Shao , Jacob Bien