The nonparametric quantile estimation for length-biased and right-censored data

doi:10.1016/j.spl.2017.10.020

CSpace > 应用数学研究所

	The nonparametric quantile estimation for length-biased and right-censored data
	Shi, Jianhua 1,2; Ma, Huijuan 3; Zhou, Yong4,5
	2018-03-01
发表期刊	STATISTICS & PROBABILITY LETTERS
ISSN	0167-7152
卷号	134 页码:150-158
摘要	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.
关键词	Length-biased data Right-censored data Quantile estimation Bahadur representation
DOI	10.1016/j.spl.2017.10.020
语种	英语
资助项目	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研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000425197600021
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29692
专题	应用数学研究所
通讯作者	Shi, Jianhua
作者单位	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
推荐引用方式 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.