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Proportional Mean Residual Life Model with Varying Coefficients for Length-Biased and Right-Censored Data
Xu, Da1,2; Zhou, Yong3,4
2020-05-01
Source PublicationACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN1439-8516
Volume36Issue:5Pages:578-596
AbstractLength-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.
KeywordLength-biased data proportional hazards model mean residual life varying-coefficient model
DOI10.1007/s10114-020-8079-0
Indexed BySCI
Language英语
Funding ProjectState 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 Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000529074400005
PublisherSPRINGER HEIDELBERG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/51385
Collection中国科学院数学与系统科学研究院
Corresponding AuthorXu, Da
Affiliation1.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
Recommended Citation
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.
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