On estimating optimal regime for treatment initiation time based on restricted mean residual lifetime

doi:10.1111/biom.13530

	On estimating optimal regime for treatment initiation time based on restricted mean residual lifetime
	Chen, Xin 5,6; Song, Rui 4; Zhang, Jiajia 3; Adams, Swann Arp 2,3; Sun, Liuquan 1; Lu, Wenbin 4
刊名	BIOMETRICS
	2021-08-07
页码	13
关键词	individualized treatment regime kernel estimation optimal treatment initiation time time-to-event data value function
ISSN号	0006-341X
DOI	10.1111/biom.13530
英文摘要	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.
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
语种	英语
出版者	WILEY
WOS记录号	WOS:000682535400001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59014]
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Xin
作者单位	1.Chinese Acad Sci, Inst Appl Math, Beijing, Peoples R China 2.Univ South Carolina, Coll Nursing, Columbia, SC USA 3.Univ South Carolina, Dept Epidemiol & Biostat, Columbia, SC USA 4.North Carolina State Univ, Dept Stat, Raleigh, NC USA 5.Shanghai Lixin Univ Accounting & Finance, Interdisciplinary Res Inst Data Sci, Shanghai, Peoples R China 6.Shanghai Lixin Univ Accounting & Finance, Sch Stat & Math, Shanghai, Peoples R China
推荐引用方式 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.