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Concordance-assisted learning for estimating optimal individualized treatment regimes
Fan, Caiyun1; Lu, Wenbin2; Song, Rui2; Zhou, Yong3,4
刊名JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY
2017-11
卷号79期号:5页码:1565-1582
关键词Concordance Optimal treatment regime Propensity score Rank estimation Value function
ISSN号1369-7412
DOI10.1111/rssb.12230
英文摘要We propose new concordance-assisted learning for estimating optimal individualized treatment regimes. We first introduce a type of concordance function for prescribing treatment and propose a robust rank regression method for estimating the concordance function. We then find treatment regimes, up to a threshold, to maximize the concordance function, named the prescriptive index. Finally, within the class of treatment regimes that maximize the concordance function, we find the optimal threshold to maximize the value function. We establish the rate of convergence and asymptotic normality of the proposed estimator for parameters in the prescriptive index. An induced smoothing method is developed to estimate the asymptotic variance of the estimator. We also establish the n1/3-consistency of the estimated optimal threshold and its limiting distribution. In addition, a doubly robust estimator of parameters in the prescriptive index is developed under a class of monotonic index models. The practical use and effectiveness of the methodology proposed are demonstrated by simulation studies and an application to an acquired immune deficiency syndrome data set.
WOS研究方向Mathematics
语种英语
出版者WILEY
WOS记录号WOS:000413946300011
内容类型期刊论文
源URL[http://10.2.47.112/handle/2XS4QKH4/864]  
专题上海财经大学
通讯作者Lu, Wenbin
作者单位1.Shanghai Univ Int Business & Econ, Shanghai, Peoples R China;
2.North Carolina State Univ, Raleigh, NC 27695 USA;
3.Shanghai Univ Finance & Econ, Beijing, Peoples R China;
4.Chinese Acad Sci, Beijing, Peoples R China
推荐引用方式
GB/T 7714
Fan, Caiyun,Lu, Wenbin,Song, Rui,et al. Concordance-assisted learning for estimating optimal individualized treatment regimes[J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY,2017,79(5):1565-1582.
APA Fan, Caiyun,Lu, Wenbin,Song, Rui,&Zhou, Yong.(2017).Concordance-assisted learning for estimating optimal individualized treatment regimes.JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY,79(5),1565-1582.
MLA Fan, Caiyun,et al."Concordance-assisted learning for estimating optimal individualized treatment regimes".JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY 79.5(2017):1565-1582.
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