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

文献类型：期刊论文

作者Liu, Peng1; Wang, Yixin2; Zhou, Yong1,2
刊名ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS
出版日期2015-10-01
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
DOI10.1007/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.
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
语种英语
WOS记录号WOS:000360308700009
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/20694]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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