KMS Of Academy of mathematics and systems sciences, CAS
| The nonparametric quantile estimation for length-biased and right-censored data | |
Shi, Jianhua1,2; Ma, Huijuan3; Zhou, Yong4,5
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| 2018-03-01 | |
| Source Publication | STATISTICS & PROBABILITY LETTERS
 |
| ISSN | 0167-7152 |
| Volume | 134Pages:150-158 |
| Abstract | This paper studies the nonparametric estimator of the quantile function under length biased and right censored data, with the property of length-bias that the residual lifetime share the same distribution as the truncation time. A nonparametric estimator of the quantile function is proposed based on the improved product-limit estimator of distribution function that takes into account the auxiliary information about the length-biased sampling. Asymptotic properties of the estimator are derived, and numerical simulation studies are conducted to assess the performance of the proposed estimator, an application is also given using the Channing house data. (C) 2017 Elsevier B.V. All rights reserved. |
| Keyword | Length-biased data Right-censored data Quantile estimation Bahadur representation |
| DOI | 10.1016/j.spl.2017.10.020 |
| Language | 英语 |
| Funding Project | Natural Science Foundation of Fujian Province, China[2016J01026] ; National Institutes of Health, USA[R01 HL113548] ; 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] ; National Center for Mathematics and Interdisciplinary Sciences (NCMIS) ; Key Laboratory of RCSDS ; AMSS ; CAS[2008DP173182] ; Innovative Research Team of Shanghai University of Finance and Economics[IRTSHUFE13122402] |
| WOS Research Area | Mathematics |
| WOS Subject | Statistics & Probability |
| WOS ID | WOS:000425197600021 |
| Publisher | ELSEVIER SCIENCE BV |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/29692 |
| Collection | 应用数学研究所 |
| Corresponding Author | Shi, Jianhua |
| Affiliation | 1.Minnan Normal Univ, Sch Math & Stat, Zhangzhou, Peoples R China 2.Fujian Normal Univ, Fujian Key Lab Math Anal & Applicat, Fuzhou, Fujian, Peoples R China 3.Emory Univ, Dept Biostat & Bioinformat, Atlanta, GA 30322 USA 4.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai, Peoples R China 5.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China |
| Recommended Citation GB/T 7714 | Shi, Jianhua,Ma, Huijuan,Zhou, Yong. The nonparametric quantile estimation for length-biased and right-censored data[J]. STATISTICS & PROBABILITY LETTERS,2018,134:150-158. |
| APA | Shi, Jianhua,Ma, Huijuan,&Zhou, Yong.(2018).The nonparametric quantile estimation for length-biased and right-censored data.STATISTICS & PROBABILITY LETTERS,134,150-158. |
| MLA | Shi, Jianhua,et al."The nonparametric quantile estimation for length-biased and right-censored data".STATISTICS & PROBABILITY LETTERS 134(2018):150-158. |
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