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The estimation of heterogeneous treatment effects (HTEs) has attracted considerable interest in many disciplines, most prominently in medicine and economics. Contemporary research has so far primarily focused on continuous and binary…

Methodology · Statistics 2022-10-07 Susanne Dandl , Andreas Bender , Torsten Hothorn

We investigate the problem of estimating the average treatment effect (ATE) under a very general setup where the covariates can be high-dimensional, highly correlated, and can have sparse nonlinear effects on the propensity and outcome…

Machine Learning · Statistics 2025-08-26 Jianqing Fan , Soham Jana , Sanjeev Kulkarni , Qishuo Yin

Parametric nonlinear mixed effects models (NLMEs) are now widely used in biometrical studies, especially in pharmacokinetics research and HIV dynamics models, due to, among other aspects, the computational advances achieved during the last…

Methodology · Statistics 2012-02-03 Ana Arribas-Gil , Karine Bertin , Cristian Meza , Vincent Rivoirard

Although increasingly used for research, electronic health records (EHR) often lack gold-standard assessment of key data elements. Linking EHRs to other data sources with higher-quality measurements can improve statistical inference, but…

Methodology · Statistics 2025-03-05 Jenny Shen , Dane Isenberg , Kristin A. Linn , Rebecca A. Hubbard

We consider the problem of estimating the effects of a binary treatment on a continuous outcome of interest from observational data in the absence of confounding by unmeasured factors. We provide a new estimator of the population average…

Methodology · Statistics 2020-08-04 James Robins , Mariela Sued , Quanhong Lei-Gomez , Andrea Rotnitzky

The estimation of average treatment effects (ATEs), defined as the difference in expected outcomes between treatment and control groups, is a central topic in causal inference. This study develops semiparametric efficient estimators for ATE…

Machine Learning · Computer Science 2025-05-29 Masahiro Kato , Fumiaki Kozai , Ryo Inokuchi

In this paper, we study a generalization of the two-groups model in the presence of covariates --- a problem that has recently received much attention in the statistical literature due to its applicability in multiple hypotheses testing…

Methodology · Statistics 2019-02-01 Nabarun Deb , Sujayam Saha , Adityanand Guntuboyina , Bodhisattva Sen

Mixed effects (ME) models inform a vast array of problems in the physical and social sciences, and are pervasive in meta-analysis. We consider ME models where the random effects component is linear. We then develop an efficient approach for…

We propose a new estimator for heterogeneous treatment effects in a partially linear model (PLM) with multiple exogenous covariates and a potentially endogenous treatment variable. Our approach integrates a Robinson transformation to handle…

Econometrics · Economics 2024-10-04 Xiaolin Sun

Instrumental variable methods are widely used to address unmeasured confounding, yet much of the existing literature has focused on the binary instrument setting. Extensions to continuous instruments often impose strong parametric…

Methodology · Statistics 2025-08-12 Zhenghao Zeng , Alexander W. Levis , JungHo Lee , Edward H. Kennedy , Luke Keele

The behavior of the conditional logistic estimator is analyzed under a causal model for two-arm experimental studies with possible non-compliance in which the effect of the treatment is measured by a binary response variable. We show that,…

Statistics Theory · Mathematics 2008-09-15 Francesco Bartolucci

The average treatment effect (ATE) is popularly used to assess the treatment effect. However, the ATE implicitly assumes a homogenous treatment effect even amongst individuals with different characteristics. In this paper, we mainly focus…

Methodology · Statistics 2016-03-10 Yunjian Yin , Lan Liu , Zhi Geng

Semicontinuous outcomes occur frequently in health services, insurance, and cost studies. Standard nonparametric density estimators are not well suited to such data because they do not naturally accommodate the mixed structure, the…

Methodology · Statistics 2026-05-06 Guanjie Lyu , Frédéric Ouimet , Cindy Feng

This paper investigates the two-step estimation of a high dimensional additive regression model, in which the number of nonparametric additive components is potentially larger than the sample size but the number of significant additive…

Statistics Theory · Mathematics 2013-01-30 Kengo Kato

Longitudinal imaging studies are essential to understanding the neural development of neuropsychiatric disorders, substance use disorders, and the normal brain. The main objective of this paper is to develop a two-stage adjusted…

Applications · Statistics 2011-08-12 Xiaoyan Shi , Joseph G. Ibrahim , Jeffrey Lieberman , Martin Styner , Yimei Li , Hongtu Zhu

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

We consider the problem of estimating a dose-response curve. Continuous treatments arise often in practice, e.g. in the form of time spent on an operation, distance traveled to a location or dosage of a drug. Letting $A$ denote a continuous…

Methodology · Statistics 2026-04-14 Matteo Bonvini , Edward H. Kennedy

We consider estimation of the target population average treatment effect (TATE) when outcome information is unavailable. Instead, we observe the outcome in multiple source populations and wish to combine the treatment effects therein to…

Methodology · Statistics 2025-05-16 Zehao Su , Helene Charlotte Rytgaard , Henrik Ravn , Frank Eriksson

We introduce a two-level trust-region method (TLTR) for solving unconstrained nonlinear optimization problems. Our method uses a composite iteration step, which is based on two distinct search directions. The first search direction is…

Numerical Analysis · Mathematics 2024-09-10 Andrea Angino , Alena Kopaničáková , Rolf Krause

We study treatment-effect estimation using panel data. The treatment may be non-binary, non-absorbing, and the outcome may be affected by treatment lags. We make a parallel-trends assumption, and propose event-study estimators of the effect…

Econometrics · Economics 2026-05-13 Clément de Chaisemartin , Xavier D'Haultfœuille