A class of additive-accelerated means regression models for recurrent event data
Liu Li1; Mu XiaoYun2; Sun LiuQuan2
刊名SCIENCE CHINA-MATHEMATICS
2010-12-01
卷号53期号:12页码:3139-3151
关键词additive-accelerated means model counting process marginal model model checking recurrent events
ISSN号1674-7283
DOI10.1007/s11425-010-4111-7
英文摘要In this article, we propose a class of additive-accelerated means regression models for analyzing recurrent event data. The class includes the proportional means model, the additive rates model, the accelerated failure time model, the accelerated rates model and the additive-accelerated rate model as special cases. The new model offers great flexibility in formulating the effects of covariates on the mean functions of counting processes while leaving the stochastic structure completely unspecified. For the inference on the model parameters, estimating equation approaches are derived and asymptotic properties of the proposed estimators are established. In addition, a technique is provided for model checking. The finite-sample behavior of the proposed methods is examined through Monte Carlo simulation studies, and an application to a bladder cancer study is illustrated.
资助项目National Natural Science Foundation of China[10731010] ; National Natural Science Foundation of China[10971015] ; National Natural Science Foundation of China[10721101] ; National Basic Research Program of China[2007CB814902] ; Key Laboratory of Random Complex Structures and Data Science, Chinese Academy of Sciences[2008DP173182]
WOS研究方向Mathematics
语种英语
出版者SCIENCE PRESS
WOS记录号WOS:000285366000009
内容类型期刊论文
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/10642]  
专题应用数学研究所
通讯作者Liu Li
作者单位1.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714
Liu Li,Mu XiaoYun,Sun LiuQuan. A class of additive-accelerated means regression models for recurrent event data[J]. SCIENCE CHINA-MATHEMATICS,2010,53(12):3139-3151.
APA Liu Li,Mu XiaoYun,&Sun LiuQuan.(2010).A class of additive-accelerated means regression models for recurrent event data.SCIENCE CHINA-MATHEMATICS,53(12),3139-3151.
MLA Liu Li,et al."A class of additive-accelerated means regression models for recurrent event data".SCIENCE CHINA-MATHEMATICS 53.12(2010):3139-3151.
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