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Dynamic treatment regimes are sequential decision rules that adapt treatment according to individual time-varying characteristics and outcomes to achieve optimal effects, with applications in precision medicine, personalized…

统计方法学 · 统计学 2025-10-24 Yuanshan Gao , Yang Bai , Yifan Cui

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…

计量经济学 · 经济学 2024-09-04 Shosei Sakaguchi

As an effective nonparametric method, empirical likelihood (EL) is appealing in combining estimating equations flexibly and adaptively for incorporating data information. To select important variables and estimating equations in the sparse…

统计方法学 · 统计学 2021-07-02 Jiaqi Li , Liya Fu

In recent years, information relaxation and duality in dynamic programs have been studied extensively, and the resulted primal-dual approach has become a powerful procedure in solving dynamic programs by providing lower-upper bounds on the…

最优化与控制 · 数学 2016-10-26 Helin Zhu , Fan Ye , Enlu Zhou

Flexible estimation of heterogeneous treatment effects lies at the heart of many statistical challenges, such as personalized medicine and optimal resource allocation. In this paper, we develop a general class of two-step algorithms for…

机器学习 · 统计学 2020-08-07 Xinkun Nie , Stefan Wager

We consider estimation of an optimal individualized treatment rule from observational and randomized studies when a high-dimensional vector of baseline variables is available. Our optimality criterion is with respect to delaying expected…

统计方法学 · 统计学 2017-11-09 Iván Díaz , Oleksandr Savenkov , Karla Ballman

A dynamic treatment regime effectively incorporates both accrued information and long-term effects of treatment from specially designed clinical trials. As these become more and more popular in conjunction with longitudinal data from…

统计方法学 · 统计学 2011-08-29 Rui Song , Weiwei Wang , Donglin Zeng , Michael R. Kosorok

Using only retrospective data, we study the problem of predicting treatment effects for the same treatment/policy implemented in a different location or time period. We propose a distributionally robust estimator that minimizes the…

计量经济学 · 经济学 2026-04-29 Ruonan Xu , Xiye Yang

We develop a prediction-based prescriptive model for learning optimal personalized treatments for patients based on their Electronic Health Records (EHRs). Our approach consists of: (i) predicting future outcomes under each possible therapy…

机器学习 · 统计学 2018-12-06 Ruidi Chen , Ioannis Paschalidis

We develop a neural-network framework for multi-period risk--reward stochastic control problems with constrained two-step feedback policies that may be discontinuous in the state. We allow a broad class of objectives built on a…

计算金融 · 定量金融 2026-03-09 Chang Chen , Duy-Minh Dang

We propose a new modeling and estimation approach to select the optimal treatment regime from different options through constructing a robust estimating equation. The method is protected against misspecification of the propensity score…

统计方法学 · 统计学 2022-11-15 Trinetri Ghosh , Yanyuan Ma , Wensheng Zhu , Yuanjia Wang

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…

统计方法学 · 统计学 2016-06-07 Yichi Zhang , Eric B. Laber , Anastasios Tsiatis , Marie Davidian

A dynamic treatment regime is a sequence of decision rules in which each decision rule recommends treatment based on features of patient medical history such as past treatments and outcomes. Existing methods for estimating optimal dynamic…

统计方法学 · 统计学 2015-05-22 Kristin A. Linn , Eric B. Laber , Leonard A. Stefanski

Challenges with data in the big-data era include (i) the dimension $p$ is often larger than the sample size $n$ (ii) outliers or contaminated points are frequently hidden and more difficult to detect. Challenge (i) renders most conventional…

机器学习 · 统计学 2023-09-06 Yijun Zuo

We consider the estimation of a regression function with random design and heteroscedastic noise in a nonparametric setting. More precisely, we address the problem of characterizing the optimal penalty when the regression function is…

统计理论 · 数学 2015-06-29 Adrien Saumard

Asymmetry along with heteroscedasticity or contamination often occurs with the growth of data dimensionality. In ultra-high dimensional data analysis, such irregular settings are usually overlooked for both theoretical and computational…

统计理论 · 数学 2022-07-20 Bin Luo , Xiaoli Gao

In survival contexts, substantial literature exists on estimating optimal treatment regimes, where treatments are assigned based on personal characteristics to maximize the survival probability. These methods assume that a set of covariates…

统计方法学 · 统计学 2025-07-24 Junwen Xia , Zishu Zhan , Jingxiao Zhang

This paper studies non-separable models with a continuous treatment when the dimension of the control variables is high and potentially larger than the effective sample size. We propose a three-step estimation procedure to estimate the…

统计方法学 · 统计学 2019-03-07 Liangjun Su , Takuya Ura , Yichong Zhang

A common problem faced in clinical studies is that of estimating the effect of the most effective (e.g., the one having the largest mean) treatment among $k~(\geq2)$ available treatments. The most effective treatment is adjudged based on…

统计理论 · 数学 2022-09-20 Masihuddin , Neeraj Misra

The subject of this work is two treatment groups random coefficient regression models, in which observational units receive some group-specific treatments. We provide A- and D-optimality criteria for the estimation of the fixed parameter…

统计理论 · 数学 2020-08-11 Maryna Prus
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