Quantile residual lifetime with right-censored and length-biased data | |
Liu, Peng1; Wang, Yixin2; Zhou, Yong1,2 | |
刊名 | ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS |
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 |
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. |
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 |
出版者 | SPRINGER HEIDELBERG |
WOS记录号 | WOS:000360308700009 |
内容类型 | 期刊论文 |
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. |
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