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When applying a statistical method in practice it often occurs that some observations deviate from the usual assumptions. However, many classical methods are sensitive to outliers. The goal of robust statistics is to develop methods that…

Methodology · Statistics 2008-08-06 Mia Hubert , Peter J. Rousseeuw , Stefan Van Aelst

Understanding treatment heterogeneity is essential to the development of precision medicine, which seeks to tailor medical treatments to subgroups of patients with similar characteristics. One of the challenges to achieve this goal is that…

Methodology · Statistics 2019-08-21 Shujie Ma , Jian Huang , Zhiwei Zhang , Mingming Liu

Understanding treatment effect heterogeneity has become increasingly important in many fields. In this paper we study distributions and quantiles of individual treatment effects to provide a more comprehensive and robust understanding of…

Methodology · Statistics 2026-03-31 Zhe Chen , Xinran Li

A novel functional additive model is proposed which is uniquely modified and constrained to model nonlinear interactions between a treatment indicator and a potentially large number of functional and/or scalar pretreatment covariates. The…

Methodology · Statistics 2021-01-26 Hyung Park , Eva Petkova , Thaddeus Tarpey , R. Todd Ogden

In cluster-randomized trials, generalized linear mixed models and generalized estimating equations have conventionally been the default analytic methods for estimating the average treatment effect as routine practice. However, recent…

Methodology · Statistics 2025-09-19 Fan Li , Jiaqi Tong , Xi Fang , Chao Cheng , Brennan C. Kahan , Bingkai Wang

We study the problem of robust time series analysis under the standard auto-regressive (AR) time series model in the presence of arbitrary outliers. We devise an efficient hard thresholding based algorithm which can obtain a consistent…

Machine Learning · Computer Science 2016-07-04 Kush Bhatia , Prateek Jain , Parameswaran Kamalaruban , Purushottam Kar

We consider the problem of estimating and inferring treatment effects in randomized experiments. In practice, stratified randomization, or more generally, covariate-adaptive randomization, is routinely used in the design stage to balance…

Methodology · Statistics 2022-09-27 Hanzhong Liu , Fuyi Tu , Wei Ma

Individualized treatment rules/recommendations (ITRs) aim to improve patient outcomes by tailoring treatments to the characteristics of each individual. However, when there are many treatment groups, existing methods face significant…

Methodology · Statistics 2025-05-27 Ke Zhu , Jianing Chu , Ilya Lipkovich , Wenyu Ye , Shu Yang

Many policies involve dynamics in their treatment assignments, where individuals receive sequential interventions over multiple stages. We study estimation of an optimal dynamic treatment regime that guides the optimal treatment assignment…

Econometrics · Economics 2024-09-04 Shosei Sakaguchi

Estimation of individual treatment effects is commonly used as the basis for contextual decision making in fields such as healthcare, education, and economics. However, it is often sufficient for the decision maker to have estimates of…

Machine Learning · Computer Science 2020-08-13 Maggie Makar , Fredrik D. Johansson , John Guttag , David Sontag

Precision medicine is currently a topic of great interest in clinical and intervention science. One way to formalize precision medicine is through a treatment regime, which is a sequence of decision rules, one per stage of clinical…

Methodology · Statistics 2016-06-07 Yichi Zhang , Eric B. Laber , Anastasios Tsiatis , Marie Davidian

An individualized decision rule (IDR) is a decision function that assigns each individual a given treatment based on his/her observed characteristics. Most of the existing works in the literature consider settings with binary or finitely…

Methodology · Statistics 2023-01-31 Hengrui Cai , Chengchun Shi , Rui Song , Wenbin Lu

We propose a reinforcement learning method for estimating an optimal dynamic treatment regime for survival outcomes with dependent censoring. The estimator allows the failure time to be conditionally independent of censoring and dependent…

Methodology · Statistics 2022-05-13 Hunyong Cho , Shannon T. Holloway , David J. Couper , Michael R. Kosorok

Binary classification rules based on covariates typically depend on simple loss functions such as zero-one misclassification. Some cases may require more complex loss functions. For example, individual-level monitoring of HIV-infected…

Machine Learning · Statistics 2019-05-14 Yizhen Xu , Tao Liu , Michael J. Daniels , Rami Kantor , Ann Mwangi , Joseph W. Hogan

Individualized treatment rules (ITR) can improve health outcomes by recognizing that patients may respond differently to treatment and assigning therapy with the most desirable predicted outcome for each individual. Flexible and efficient…

Methodology · Statistics 2017-09-25 Brent R. Logan , Rodney Sparapani , Robert E. McCulloch , Purushottam W. Laud

We study efficiency improvements in randomized experiments for estimating a vector of potential outcome means using regression adjustment (RA) when there are more than two treatment levels. We show that linear RA which estimates separate…

Econometrics · Economics 2025-01-13 Akanksha Negi , Jeffrey M. Wooldridge

Beta regression models are widely used for modeling continuous data limited to the unit interval, such as proportions, fractions, and rates. The inference for the parameters of beta regression models is commonly based on maximum likelihood…

Methodology · Statistics 2022-05-25 Terezinha K. A. Ribeiro , Silvia L. P. Ferrari

Q-learning is a regression-based approach that is widely used to formalize the development of an optimal dynamic treatment strategy. Finite dimensional working models are typically used to estimate certain nuisance parameters, and…

Methodology · Statistics 2020-03-30 Ashkan Ertefaie , James R. McKay , David Oslin , Robert L. Strawderman

We revisit the problem of estimating the local average treatment effect (LATE) and the local average treatment effect on the treated (LATT) when control variables are available, either to render the instrumental variable (IV) suitably…

Econometrics · Economics 2022-11-16 Tymon Słoczyński , S. Derya Uysal , Jeffrey M. Wooldridge

Although there is now a large literature on policy evaluation and learning, much of the prior work assumes that the treatment assignment of one unit does not affect the outcome of another unit. Unfortunately, ignoring interference can lead…

Methodology · Statistics 2025-04-02 Yi Zhang , Kosuke Imai
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