Quantile residual lifetime with right-censored and length-biased data

doi:10.1007/s10463-014-0482-9

CSpace > 应用数学研究所

	Quantile residual lifetime with right-censored and length-biased data
	Liu, Peng 1; Wang, Yixin 2; Zhou, Yong1,2
	2015-10-01
发表期刊	ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS
ISSN	0020-3157
卷号	67 期号:5 页码:999-1028
摘要	Right-censored length-biased data are commonly encountered in many applications such as cancer screening trials, prevalent cohort studies and labor economics. Such data have a unique structure that is different from traditional survival data. In this paper, we propose an estimator of the quantile residual lifetime (QRL) with this kind of data based on the nonparametric maximum likelihood estimation method. In addition, we develop two tests by taking difference and ratio of the QRL from two independent samples. We also establish the asymptotic properties of the proposed estimator and the test statistics. Simulation studies are performed to demonstrate that the proposed estimator works well in finite-sample situations. We illustrate its application using two data examples: one is the Oscars Award data, the other is the Channing house data.
关键词	Right-censored length-biased data Quantile residual lifetime model Oscars Award data Two-sample problem Empirical processes
DOI	10.1007/s10463-014-0482-9
语种	英语
资助项目	National Natural Science Foundation of China (NSFC)[71271128] ; State Key Program of National Natural Science Foundation of China[71331006] ; NCMIS ; Shanghai Leading Academic Discipline Project A ; IRTSHUFE ; Outstanding PhD Dissertation Cultivation Funds of Shanghai University of Finance and Economics ; Graduate Education Innovation Funds of Shanghai University of Finance and Economics[CXJJ-2011-438]
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000360308700009
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20695
专题	应用数学研究所
通讯作者	Zhou, Yong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Liu, Peng,Wang, Yixin,Zhou, Yong. Quantile residual lifetime with right-censored and length-biased data[J]. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS,2015,67(5):999-1028.
APA	Liu, Peng,Wang, Yixin,&Zhou, Yong.(2015).Quantile residual lifetime with right-censored and length-biased data.ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS,67(5),999-1028.
MLA	Liu, Peng,et al."Quantile residual lifetime with right-censored and length-biased data".ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS 67.5(2015):999-1028.