KMS Of Academy of mathematics and systems sciences, CAS
Mark-specific additive hazards regression with continuous marks | |
Han, Dongxiao1; Sun, Liuquan1![]() | |
2017-07-01 | |
Source Publication | LIFETIME DATA ANALYSIS
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ISSN | 1380-7870 |
Volume | 23Issue:3Pages:467-494 |
Abstract | For survival data, mark variables are only observed at uncensored failure times, and it is of interest to investigate whether there is any relationship between the failure time and the mark variable. The additive hazards model, focusing on hazard differences rather than hazard ratios, has been widely used in practice. In this article, we propose a mark-specific additive hazards model in which both the regression coefficient functions and the baseline hazard function depend nonparametrically on a continuous mark. An estimating equation approach is developed to estimate the regression functions, and the asymptotic properties of the resulting estimators are established. In addition, some formal hypothesis tests are constructed for various hypotheses concerning the mark-specific treatment effects. The finite sample behavior of the proposed estimators is evaluated through simulation studies, and an application to a data set from the first HIV vaccine efficacy trial is provided. |
Keyword | Additive hazards model Competing risks Confidence bands and tests Continuous mark HIV vaccine trial Mark-specific vaccine effects Survival data |
DOI | 10.1007/s10985-016-9369-9 |
Language | 英语 |
Funding Project | National Natural Science Foundation of China[11231010] ; National Natural Science Foundation of China[11171330] ; Key Laboratory of RCSDS, CAS[2008DP173182] ; BCMIIS ; National Institutes of Health NIAID[R37 AI054165] ; National Science Foundation[DMS-1208978] ; National Science Foundation[DMS-1513072] |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Interdisciplinary Applications ; Statistics & Probability |
WOS ID | WOS:000403359100007 |
Publisher | SPRINGER |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/25646 |
Collection | 应用数学研究所 |
Corresponding Author | Sun, Liuquan |
Affiliation | 1.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Univ North Carolina Charlotte, Dept Math & Stat, Charlotte, NC 28223 USA 3.Sanofi, Biostat & Programming, Bridgewater, NJ 08807 USA |
Recommended Citation GB/T 7714 | Han, Dongxiao,Sun, Liuquan,Sun, Yanqing,et al. Mark-specific additive hazards regression with continuous marks[J]. LIFETIME DATA ANALYSIS,2017,23(3):467-494. |
APA | Han, Dongxiao,Sun, Liuquan,Sun, Yanqing,&Qi, Li.(2017).Mark-specific additive hazards regression with continuous marks.LIFETIME DATA ANALYSIS,23(3),467-494. |
MLA | Han, Dongxiao,et al."Mark-specific additive hazards regression with continuous marks".LIFETIME DATA ANALYSIS 23.3(2017):467-494. |
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