KMS Of Academy of mathematics and systems sciences, CAS
A class of additive-accelerated means regression models for recurrent event data | |
Liu Li1; Mu XiaoYun2; Sun LiuQuan2 | |
2010-12-01 | |
发表期刊 | SCIENCE CHINA-MATHEMATICS |
ISSN | 1674-7283 |
卷号 | 53期号:12页码:3139-3151 |
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. |
关键词 | additive-accelerated means model counting process marginal model model checking recurrent events |
DOI | 10.1007/s11425-010-4111-7 |
语种 | 英语 |
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 |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000285366000009 |
出版者 | SCIENCE PRESS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/10643 |
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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