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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…

Methodology · Statistics 2022-05-12 Chan Park , Hyunseung Kang

The manuscript discusses how to incorporate random effects for quantile regression models for clustered data with focus on settings with many but small clusters. The paper has three contributions: (i) documenting that existing methods may…

Methodology · Statistics 2022-02-24 Maria Laura Battagliola , Helle Sørensen , Anders Tolver , Ana-Maria Staicu

We present a new estimator of the restricted mean survival time in randomized trials where there is right censoring that may depend on treatment and baseline variables. The proposed estimator leverages prognostic baseline variables to…

Statistics Theory · Mathematics 2016-08-22 Iván Díaz , Elizabeth Colantuoni , Daniel F. Hanley , Michael Rosenblum

We consider the conditional treatment effect for competing risks data in observational studies. While it is described as a constant difference between the hazard functions given the covariates, we do not assume specific functional forms for…

Applications · Statistics 2021-12-28 Denise Rava , Ronghui Xu

In causal inference about two treatments, Conditional Average Treatment Effects (CATEs) play an important role as a quantity representing an individualized causal effect, defined as a difference between the expected outcomes of the two…

Econometrics · Economics 2023-10-26 Masahiro Kato , Masaaki Imaizumi

Augmented inverse probability weighting and G-computation with canonical generalized linear models have become increasingly popular for estimating average treatment effects (ATEs) in randomized experiments. These methods leverage outcome…

Methodology · Statistics 2026-03-13 Muluneh Alene , Stijn Vansteelandt , Kelly Van Lancker

The presence of confounding by high-dimensional variables complicates estimation of the average effect of a point treatment. On the one hand, it necessitates the use of variable selection strategies or more general data-adaptive…

Methodology · Statistics 2017-08-15 Vahe Avagyan , Stijn Vansteelandt

Motivated by value function estimation in reinforcement learning, we study statistical linear inverse problems, i.e., problems where the coefficients of a linear system to be solved are observed in noise. We consider penalized estimators,…

Machine Learning · Computer Science 2012-07-03 Bernardo Avila Pires , Csaba Szepesvari

Penalized linear regression is of fundamental importance in high-dimensional statistics and has been routinely used to regress a response on a high-dimensional set of predictors. In many scientific applications, there exists external…

Methodology · Statistics 2023-02-21 Sandipan Pramanik , Xianyang Zhang

We propose a general approach to construct weighted likelihood estimating equations with the aim of obtaining robust parameter estimates. We modify the standard likelihood equations by incorporating a weight that reflects the statistical…

Statistics Theory · Mathematics 2025-07-24 Claudio Agostinelli , Ayanendranath Basu , Giulia Bertagnolli , Arun Kumar Kuchibhotla

We establish asymptotic normality for estimators of the additive regression components under random censorship. To build our estimators, we couple the marginal integration method (Newey (1994)) with an initial Inverse Probability of…

Statistics Theory · Mathematics 2008-03-07 M. Debbarh , V. Viallon

This paper studies a class of linear panel models with random coefficients. We do not restrict the joint distribution of the time-invariant unobserved heterogeneity and the covariates. We investigate identification of the average partial…

Econometrics · Economics 2022-11-21 Louise Laage

The Robust Effect Size Index (RESI) is a recently proposed standardized effect size to quantify association strength across models. However, its confidence interval construction has relied on computationally intensive bootstrap procedures.…

Methodology · Statistics 2026-01-28 Xinyu Zhang , Rachael Muscatello , Megan Jones , Blythe Corbett , Simon Vandekar

Penalized regression estimators are a popular tool for the analysis of sparse and high-dimensional data sets. However, penalized regression estimators defined using an unbounded loss function can be very sensitive to the presence of…

Statistics Theory · Mathematics 2015-10-19 Ezequiel Smucler , Víctor J. Yohai

Causal effect estimation under networked interference is an important but challenging problem. Available parametric methods are limited in their model space, while previous semiparametric methods, e.g., leveraging neural networks to fit…

Machine Learning · Computer Science 2025-02-27 Weilin Chen , Ruichu Cai , Zeqin Yang , Jie Qiao , Yuguang Yan , Zijian Li , Zhifeng Hao

Inverse probability of treatment weighting (IPW) has been well applied in causal inference to estimate population-level estimands from observational studies. For time-to-event outcomes, the failure time distribution can be estimated by…

Methodology · Statistics 2025-05-13 Yuhao Deng , Rui Wang

This paper concerns the estimation of the regression function at a given point in nonparametric heteroscedastic models with Gaussian noise or with noise having unknown distribution. In the two cases an asymptotically efficient kernel…

Statistics Theory · Mathematics 2007-11-30 Jean-Yves Brua

Effect modification occurs when the effect of the treatment on an outcome varies according to the level of other covariates and often has important implications in decision making. When there are tens or hundreds of covariates, it becomes…

Methodology · Statistics 2021-11-23 Qingyuan Zhao , Dylan S. Small , Ashkan Ertefaie

Gaussian processes (GPs) are popular as nonlinear regression models for expensive computer simulations, yet GP performance relies heavily on estimation of unknown covariance parameters. Maximum likelihood estimation (MLE) is common, but it…

Methodology · Statistics 2025-11-25 Ayumi Mutoh , Annie S. Booth , Jonathan W. Stallrich

Unmeasured confounding is a threat to causal inference in observational studies. In recent years, use of negative controls to mitigate unmeasured confounding has gained increasing recognition and popularity. Negative controls have a…

Methodology · Statistics 2019-09-05 Xu Shi , Wang Miao , Jennifer C. Nelson , Eric J. Tchetgen Tchetgen
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