An embedded estimating equation for the additive risk model with biased-sampling data
文献类型：期刊论文
| 作者 | Zhang, Feipeng1; Zhao, Xingqiu2; Zhou, Yong3,4
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2018-08-01 |
| 卷号 | 61期号:8页码:1495-1518 |
| 关键词 | additive risk model biased-sampling data missing covariates estimating equation model checking |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-017-9268-0 |
| 英文摘要 | This paper presents a novel class of semiparametric estimating functions for the additive model with right-censored data that are obtained from general biased-sampling. The new estimator can be obtained using a weighted estimating equation for the covariate coeffcients, by embedding the biased-sampling data into left-truncated and right-censored data. The asymptotic properties (consistency and asymptotic normality) of the proposed estimator are derived via the modern empirical processes theory. Based on the cumulative residual processes, we also propose graphical and numerical methods to assess the adequacy of the additive risk model. The good finite-sample performance of the proposed estimator is demonstrated by simulation studies and two applications of real datasets. |
| 资助项目 | National Natural Science Foundation of China[11771133] ; National Natural Science Foundation of China[11401194] ; National Natural Science Foundation of China[11771366] ; Natural Science Foundation of Hunan Province of China[2017JJ3021] ; State Key Program of National Natural Science Foundation of China[71331006] ; State Key Program in the Major Research Plan of National Natural Science Foundation of China[91546202] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000440140500008 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30785]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zhang, Feipeng |
| 作者单位 | 1.Hunan Normal Univ, Sch Math & Stat, Key Lab High Performance Comp & Stochast Informat, Minist Educ, Changsha 410081, Hunan, Peoples R China 2.Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China 3.East China Normal Univ, Sch Stat, Shanghai 200241, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Feipeng,Zhao, Xingqiu,Zhou, Yong. An embedded estimating equation for the additive risk model with biased-sampling data[J]. SCIENCE CHINA-MATHEMATICS,2018,61(8):1495-1518. |
| APA | Zhang, Feipeng,Zhao, Xingqiu,&Zhou, Yong.(2018).An embedded estimating equation for the additive risk model with biased-sampling data.SCIENCE CHINA-MATHEMATICS,61(8),1495-1518. |
| MLA | Zhang, Feipeng,et al."An embedded estimating equation for the additive risk model with biased-sampling data".SCIENCE CHINA-MATHEMATICS 61.8(2018):1495-1518. |
入库方式： OAI收割
来源：数学与系统科学研究院
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