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

doi:10.1007/s10463-014-0482-9

CORC > 上海财经大学 > 上海财经大学

	Quantile residual lifetime with right-censored and length-biased data
	Liu, Peng 1; Wang, Yixin 2; Zhou, Yong 1,2
刊名	ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS
	2015-10
卷号	67 期号:5 页码:999-1028
关键词	Right-censored length-biased data Quantile residual lifetime model Oscars Award data Two-sample problem Empirical processes
ISSN号	0020-3157
DOI	10.1007/s10463-014-0482-9
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000360308700009
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/1465]
专题	上海财经大学
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.