KMS Of Academy of mathematics and systems sciences, CAS
| The strong representation for the nonparametric estimator of length-biased and right-censored data | |
Shi, Jianhua1,4; Chen, Xiaoping2,4; Zhou, Yong3,4
| |
| 2015-09-01 | |
| Source Publication | STATISTICS & PROBABILITY LETTERS
 |
| ISSN | 0167-7152 |
| Volume | 104Pages:49-57 |
| Abstract | In this paper, we consider the modified product-limit estimator of an unknown distribution function proposed by Huang and Qin (2011), where the observations are subject to length-biased and right-censored data. A strong representation for the modified product-limit estimator is established with a remainder 0(n(-3/4)(log h)(3/4)) as. Such results are very useful when we consider statistics that are the function of the estimator of nonparametric distribution function. Also, a uniform consistency rate of the estimator is given. (C) 2015 Elsevier B.V. All rights reserved. |
| Keyword | Truncated data Strong representation Length-biased Right-censored |
| DOI | 10.1016/j.spl.2015.04.029 |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China (NSFC)[71271128] ; National Natural Science Foundation of China (NSFC)[11301473] ; National Natural Science Foundation of China[71331006] ; NCMIS ; Shanghai First-class Discipline A ; IRTSHUFE ; Natural Science Foundation of Fujian Province, China[2012J01028] ; Program of Educational Department of Fujian Province, China[JA14079] |
| WOS Research Area | Mathematics |
| WOS Subject | Statistics & Probability |
| WOS ID | WOS:000358268400007 |
| Publisher | ELSEVIER SCIENCE BV |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/20420 |
| Collection | 应用数学研究所 |
| Corresponding Author | Chen, Xiaoping |
| Affiliation | 1.Minnan Normal Univ, Sch Math & Stat, Zhangzhou, Peoples R China 2.Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350117, Fujian, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 4.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai, Peoples R China |
| Recommended Citation GB/T 7714 | Shi, Jianhua,Chen, Xiaoping,Zhou, Yong. The strong representation for the nonparametric estimator of length-biased and right-censored data[J]. STATISTICS & PROBABILITY LETTERS,2015,104:49-57. |
| APA | Shi, Jianhua,Chen, Xiaoping,&Zhou, Yong.(2015).The strong representation for the nonparametric estimator of length-biased and right-censored data.STATISTICS & PROBABILITY LETTERS,104,49-57. |
| MLA | Shi, Jianhua,et al."The strong representation for the nonparametric estimator of length-biased and right-censored data".STATISTICS & PROBABILITY LETTERS 104(2015):49-57. |
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