Proportional Mean Residual Life Model with Varying Coefficients for Length-Biased and Right-Censored Data

doi:10.1007/s10114-020-8079-0

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	Proportional Mean Residual Life Model with Varying Coefficients for Length-Biased and Right-Censored Data
	Xu, Da 1,2; Zhou, Yong3,4
	2020-05-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	36 期号:5 页码:578-596
摘要	Length-biased data are encountered in many fields, including economics, engineering and epidemiological cohort studies. There are two main challenges in the analysis of such data: the assumption of independent censoring is violated and the assumed model for the underlying population is no longer satisfied for the observed data. In this paper, a proportional mean residual life varying-coefficient model for length-biased data is considered and a local pseudo likelihood method is proposed for estimating the coefficient functions in the model. Asymptotic properties are investigated for the proposed estimators. The finite sample performance of the proposed methodology is demonstrated by simulation studies. Finally, the method is applied to a real data set concerning the Academy Awards.
关键词	Length-biased data proportional hazards model mean residual life varying-coefficient model
DOI	10.1007/s10114-020-8079-0
收录类别	SCI
语种	英语
资助项目	State Key Program of National Natural Science Foundation of China[71931004] ; State Key Program in the Major Research Plan of National Natural Science Foundation of China[91546202]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000529074400005
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51385
专题	应用数学研究所
通讯作者	Xu, Da
作者单位	1.Northeast Normal Univ, Key Lab Appl Stat, MOE, Changchun 130024, Peoples R China 2.Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China 3.East China Normal Univ, Acad Stat & Interdisciplinary Sci, Key Lab Adv Theory & Applicat Stat & Data Sci, MOE, Shanghai 200062, 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	Xu, Da,Zhou, Yong. Proportional Mean Residual Life Model with Varying Coefficients for Length-Biased and Right-Censored Data[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2020,36(5):578-596.
APA	Xu, Da,&Zhou, Yong.(2020).Proportional Mean Residual Life Model with Varying Coefficients for Length-Biased and Right-Censored Data.ACTA MATHEMATICA SINICA-ENGLISH SERIES,36(5),578-596.
MLA	Xu, Da,et al."Proportional Mean Residual Life Model with Varying Coefficients for Length-Biased and Right-Censored Data".ACTA MATHEMATICA SINICA-ENGLISH SERIES 36.5(2020):578-596.