KMS Of Academy of mathematics and systems sciences, CAS
| 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
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| 2021-08-07 | |
| Source Publication | BIOMETRICS
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| ISSN | 0006-341X |
| Pages | 13 |
| Abstract | 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. |
| Keyword | individualized treatment regime kernel estimation optimal treatment initiation time time-to-event data value function |
| DOI | 10.1111/biom.13530 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology ; Mathematics |
| WOS Subject | Biology ; Mathematical & Computational Biology ; Statistics & Probability |
| WOS ID | WOS:000682535400001 |
| Publisher | WILEY |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59015 |
| Collection | 应用数学研究所 |
| Corresponding Author | Chen, Xin |
| Affiliation | 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 |
| Recommended Citation 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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