A composite nonparametric product limit approach for estimating the distribution of survival times under length-biased and right-censored data
文献类型：期刊论文
| 作者 | Fan, Shuqin2,3; Zhao, Wei1,2,3; Wan, Alan T. K.3; Zhou, Yong4
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| 刊名 | STATISTICS AND ITS INTERFACE
 |
| 出版日期 | 2020 |
| 卷号 | 13期号:2页码:221-235 |
| 关键词 | Biased data Composite nonparametric estimator Almost sure representation Right-censored Strong consistency Product-limit estimator |
| ISSN号 | 1938-7989 |
| 英文摘要 | This paper considers a composite nonparametric product limit estimator for estimating the distribution of survival times when the data are length-biased and right censored. Our method takes into account auxiliary information that frequently arises in survival analysis, and is easier to implement than existing methods for estimating survival functions. We derive a strong representation of the proposed estimator, establish its consistency and asymptotic normality, and derive its convergence rate of approximation. As well, we prove that auxiliary information improves the asymptotic efficiency of the proposed estimator, and provide the values of the composite weights that result in the largest efficiency gain. Our proposed estimator fares well in comparison with other more complex methods in finite samples and offers a clear advantage with respect to computational time. |
| 资助项目 | 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 | Mathematical & Computational Biology ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000510685900007 |
| 出版者 | INT PRESS BOSTON, INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50777]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Wan, Alan T. K. |
| 作者单位 | 1.Emory Univ, Dept Biostat & Bioinformat, Atlanta, GA 30322 USA 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 3.City Univ Hong Kong, Dept Management Sci, Kowloon, Hong Kong, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Fan, Shuqin,Zhao, Wei,Wan, Alan T. K.,et al. A composite nonparametric product limit approach for estimating the distribution of survival times under length-biased and right-censored data[J]. STATISTICS AND ITS INTERFACE,2020,13(2):221-235. |
| APA | Fan, Shuqin,Zhao, Wei,Wan, Alan T. K.,&Zhou, Yong.(2020).A composite nonparametric product limit approach for estimating the distribution of survival times under length-biased and right-censored data.STATISTICS AND ITS INTERFACE,13(2),221-235. |
| MLA | Fan, Shuqin,et al."A composite nonparametric product limit approach for estimating the distribution of survival times under length-biased and right-censored data".STATISTICS AND ITS INTERFACE 13.2(2020):221-235. |
入库方式： OAI收割
来源：数学与系统科学研究院
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