Monotone rank estimation of transformation models with length-biased and right-censored data

doi:10.1007/s11425-015-5035-z

CSpace > 应用数学研究所

	Monotone rank estimation of transformation models with length-biased and right-censored data
	Chen XiaoPing 1,2; Shi JianHua 1,3; Zhou Yong1,4
	2015-10-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	58 期号:10 页码:2055-2068
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.
关键词	monotone rank estimation length-biased data right-censored data random weighting transformation model
DOI	10.1007/s11425-015-5035-z
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000361765300002
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20826
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.