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On estimating optimal regime for treatment initiation time based on restricted mean residual lifetime
Chen, Xin1,2; Song, Rui3; Zhang, Jiajia4; Adams, Swann Arp4,5; Sun, Liuquan6; Lu, Wenbin3
2021-08-07
发表期刊BIOMETRICS
ISSN0006-341X
页码13
摘要When to initiate treatment on patients is an important problem in many medical studies such as AIDS and cancer. In this article, we formulate the treatment initiation time problem for time-to-event data and propose an optimal individualized regime that determines the best treatment initiation time for individual patients based on their characteristics. Different from existing optimal treatment regimes where treatments are undertaken at a pre-specified time, here new challenges arise from the complicated missing mechanisms in treatment initiation time data and the continuous treatment rule in terms of initiation time. To tackle these challenges, we propose to use restricted mean residual lifetime as a value function to evaluate the performance of different treatment initiation regimes, and develop a nonparametric estimator for the value function, which is consistent even when treatment initiation times are not completely observable and their distribution is unknown. We also establish the asymptotic properties of the resulting estimator in the decision rule and its associated value function estimator. In particular, the asymptotic distribution of the estimated value function is nonstandard, which follows a weighted chi-squared distribution. The finite-sample performance of the proposed method is evaluated by simulation studies and is further illustrated with an application to a breast cancer data.
关键词individualized treatment regime kernel estimation optimal treatment initiation time time-to-event data value function
DOI10.1111/biom.13530
收录类别SCI
语种英语
资助项目NIH[P01 CA142538] ; NIH[NSF-DMS 1555244] ; National Natural Science Foundation of China[11690015] ; National Natural Science Foundation of China[11771431] ; National Natural Science Foundation of China[12001371] ; Key Laboratory of RCSDS ; Shanghai Sailing Program[20YF1434200] ; CAS[2008DP173182]
WOS研究方向Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology ; Mathematics
WOS类目Biology ; Mathematical & Computational Biology ; Statistics & Probability
WOS记录号WOS:000682535400001
出版者WILEY
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/59015
专题应用数学研究所
通讯作者Chen, Xin
作者单位1.Shanghai Lixin Univ Accounting & Finance, Sch Stat & Math, Shanghai, Peoples R China
2.Shanghai Lixin Univ Accounting & Finance, Interdisciplinary Res Inst Data Sci, Shanghai, Peoples R China
3.North Carolina State Univ, Dept Stat, Raleigh, NC USA
4.Univ South Carolina, Dept Epidemiol & Biostat, Columbia, SC USA
5.Univ South Carolina, Coll Nursing, Columbia, SC USA
6.Chinese Acad Sci, Inst Appl Math, Beijing, Peoples R China
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GB/T 7714
Chen, Xin,Song, Rui,Zhang, Jiajia,et al. On estimating optimal regime for treatment initiation time based on restricted mean residual lifetime[J]. BIOMETRICS,2021:13.
APA Chen, Xin,Song, Rui,Zhang, Jiajia,Adams, Swann Arp,Sun, Liuquan,&Lu, Wenbin.(2021).On estimating optimal regime for treatment initiation time based on restricted mean residual lifetime.BIOMETRICS,13.
MLA Chen, Xin,et al."On estimating optimal regime for treatment initiation time based on restricted mean residual lifetime".BIOMETRICS (2021):13.
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