A semiparametric linear transformation model for general biased-sampling and right-censored data
文献类型：期刊论文
| 作者 | Wei, Wenhua2,4; Zhou, Yong1,3 ; Wan, Alan T. K.5,6
|
| 刊名 | STATISTICS AND ITS INTERFACE
 |
| 出版日期 | 2019 |
| 卷号 | 12期号:1页码:77-92 |
| 关键词 | Biased-sampling Estimating equation Right-censoring Semiparametric linear transformation model |
| ISSN号 | 1938-7989 |
| 英文摘要 | The semiparametric linear transformation (SLT) model is a useful alternative to the proportional hazards ([9]) and proportional odds ([4]) models for studying the dependency of survival time on covariates. In this paper, we consider the SLT model for biased-sampling and right-censored data, a feature commonly encountered in clinical trials. Specifically, we develop an unbiased estimating equations approach based on counting process for the simultaneous estimation of unknown coefficients and handling of sampling bias. We establish the consistency and the asymptotic normality of the proposed estimator, and provide a closed form expression for the estimator's covariance matrix that can be consistently estimated by a plug-in method. In a simulation study, we compare the finite sample properties of the proposed estimator with those of existing methods that either assumes that the sampling bias is of the length-bias type, or ignores the sampling bias altogether. The proposed method is further illustrated by two real clinical datasets. |
| 资助项目 | Shanghai University of Finance and Economics[2017110070] ; State Key Program in the Major Research Plan of National Natural Science Foundation of China[91546202] ; State Key Program of National Natural Science Foundation of China[71331006] ; Innovative Research Team of Shanghai University of Finance and Economics[IRTSHUFE13122402] ; Theme-Based Research Scheme from the Hong Kong Research Grants Council[T32-102/14N] ; General Research Fund from the Hong Kong Research Grants Council[9042086] ; City University of Hong Kong[7004786] |
| WOS研究方向 | Mathematical & Computational Biology ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000460758600008 |
| 出版者 | INT PRESS BOSTON, INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/33450]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Wei, Wenhua |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai, Peoples R China 3.Acad Math & Syst Sci, Beijing, Peoples R China 4.Shanghai Univ Finance & Econ, Shanghai, Peoples R China 5.City Univ Hong Kong, Hong Kong, Peoples R China 6.City Univ Hong Kong, Dept Management Sci, Kowloon, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wei, Wenhua,Zhou, Yong,Wan, Alan T. K.. A semiparametric linear transformation model for general biased-sampling and right-censored data[J]. STATISTICS AND ITS INTERFACE,2019,12(1):77-92. |
| APA | Wei, Wenhua,Zhou, Yong,&Wan, Alan T. K..(2019).A semiparametric linear transformation model for general biased-sampling and right-censored data.STATISTICS AND ITS INTERFACE,12(1),77-92. |
| MLA | Wei, Wenhua,et al."A semiparametric linear transformation model for general biased-sampling and right-censored data".STATISTICS AND ITS INTERFACE 12.1(2019):77-92. |
入库方式： OAI收割
来源：数学与系统科学研究院
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