KMS Of Academy of mathematics and systems sciences, CAS
| 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
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| 2020 | |
| Source Publication | STATISTICS AND ITS INTERFACE
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| ISSN | 1938-7989 |
| Volume | 13Issue:2Pages:221-235 |
| Abstract | 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. |
| Keyword | Biased data Composite nonparametric estimator Almost sure representation Right-censored Strong consistency Product-limit estimator |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematical & Computational Biology ; Mathematics |
| WOS Subject | Mathematical & Computational Biology ; Mathematics, Interdisciplinary Applications |
| WOS ID | WOS:000510685900007 |
| Publisher | INT PRESS BOSTON, INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/50778 |
| Collection | 应用数学研究所 |
| Corresponding Author | Wan, Alan T. K. |
| Affiliation | 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 |
| Recommended Citation 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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