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Mark-specific additive hazards regression with continuous marks
Han, Dongxiao1; Sun, Liuquan1; Sun, Yanqing2; Qi, Li3
AbstractFor 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.
KeywordAdditive hazards model Competing risks Confidence bands and tests Continuous mark HIV vaccine trial Mark-specific vaccine effects Survival data
Funding ProjectNational 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 AreaMathematics
WOS SubjectMathematics, Interdisciplinary Applications ; Statistics & Probability
WOS IDWOS:000403359100007
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Document Type期刊论文
Corresponding AuthorSun, Liuquan
Affiliation1.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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