Monotone rank estimation of transformation models with length-biased and right-censored data
文献类型:期刊论文
作者 | Chen XiaoPing1,2; Shi JianHua1,3; Zhou Yong1,4![]() |
刊名 | SCIENCE CHINA-MATHEMATICS
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出版日期 | 2015-10-01 |
卷号 | 58期号:10页码:2055-2068 |
关键词 | monotone rank estimation length-biased data right-censored data random weighting transformation model |
ISSN号 | 1674-7283 |
DOI | 10.1007/s11425-015-5035-z |
英文摘要 | This paper considers the monotonic transformation model with an unspecified transformation function and an unknown error function, and gives its monotone rank estimation with length-biased and right-censored data. The estimator is shown to be root n-consistent and asymptotically normal. Numerical simulation studies reveal good finite sample performance and the estimator is illustrated with the Oscar data set. The variance can be estimated by a resampling method via perturbing the U-statistics objective function repeatedly. |
资助项目 | Graduate Innovation Foundation of Shanghai University of Finance and Economics[CXJJ2013-451] ; Cultivation Foundation of Excellent Doctor Degree Dissertation of Shanghai University of Finance and Economics[YBPY201504] ; Educational Department of Fujian Province[JA14079] ; Educational Department of Fujian Province[JA12060] ; Natural Science Foundation of Fujian Province[2014J01001] ; Natural Science Foundation of Fujian Province[2012J01028] ; National Natural Science Foundation of China[71271128] ; State Key Program of National Natural Science Foundation of China[71331006] ; National Center for Mathematics and Interdisciplinary Sciences, Key Laboratory of Random Complex Structures and Data Science, Chinese Academy of Sciences ; Shanghai First-class Discipline A and Innovative Research Team of Shanghai University of Finance and Economics ; Program for Changjiang Scholars Innovative Research Team of Ministry of Education[IRT13077] |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000361765300002 |
出版者 | SCIENCE PRESS |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20825] ![]() |
专题 | 应用数学研究所 |
通讯作者 | Zhou Yong |
作者单位 | 1.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai 200433, Peoples R China 2.Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350117, Peoples R China 3.Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Chen XiaoPing,Shi JianHua,Zhou Yong. Monotone rank estimation of transformation models with length-biased and right-censored data[J]. SCIENCE CHINA-MATHEMATICS,2015,58(10):2055-2068. |
APA | Chen XiaoPing,Shi JianHua,&Zhou Yong.(2015).Monotone rank estimation of transformation models with length-biased and right-censored data.SCIENCE CHINA-MATHEMATICS,58(10),2055-2068. |
MLA | Chen XiaoPing,et al."Monotone rank estimation of transformation models with length-biased and right-censored data".SCIENCE CHINA-MATHEMATICS 58.10(2015):2055-2068. |
入库方式: OAI收割
来源:数学与系统科学研究院
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