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A composite nonparametric product limit approach for estimating the distribution of survival times under length-biased and right-censored data
Fan, Shuqin1,2; Zhao, Wei1,2,3; Wan, Alan T. K.2; Zhou, Yong4
2020
发表期刊STATISTICS AND ITS INTERFACE
ISSN1938-7989
卷号13期号:2页码:221-235
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.
关键词Biased data Composite nonparametric estimator Almost sure representation Right-censored Strong consistency Product-limit estimator
收录类别SCI
语种英语
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
WOS类目Mathematical & Computational Biology ; Mathematics, Interdisciplinary Applications
WOS记录号WOS:000510685900007
出版者INT PRESS BOSTON, INC
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/50778
专题应用数学研究所
通讯作者Wan, Alan T. K.
作者单位1.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
2.City Univ Hong Kong, Dept Management Sci, Kowloon, Hong Kong, Peoples R China
3.Emory Univ, Dept Biostat & Bioinformat, Atlanta, GA 30322 USA
4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
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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.
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