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ADDITIVE MEAN RESIDUAL LIFE MODEL WITH LATENT VARIABLES UNDER RIGHT CENSORING
He, Haijin1; Pan, Deng2; Song, Xinyuan3; Sun, Liuquan4
2019
发表期刊STATISTICA SINICA
ISSN1017-0405
卷号29期号:1页码:47-66
摘要We propose a novel additive mean residual life model to examine the effects of observable and latent risk factors on the mean residual life function of interest in the presence of right censoring. We use factor analysis to characterize the latent risk factors on the basis of multiple observed variables. We develop a borrow-strength estimation procedure that incorporates an asymptotically distribution-free generalized least square method and a corrected estimating equation approach. We establish the asymptotic properties of the proposed estimators. We develop a goodness-of-fit test for model checking. We report on simulations to evaluate the finite sample performance of the method. The application to a study on chronic kidney disease for type 2 diabetic patients reveals insights into the prevention of such common diabetic complications.
关键词Borrow-strength estimation corrected estimating equations distribution-free factor analysis latent variables mean residual life function model checking
DOI10.5705/ss.202015.0369
语种英语
资助项目NSFC from the National Natural Science Foundation of China[11471277] ; NSFC from the National Natural Science Foundation of China[11231010] ; NSFC from the National Natural Science Foundation of China[11690015] ; NSFC from the National Natural Science Foundation of China[116011 71] ; NSFC from the National Natural Science Foundation of China[11701387] ; NSFC from the National Natural Science Foundation of China[11601343] ; GRF from the Research Grant Council of the HKSAR[14305014] ; GRF from the Research Grant Council of the HKSAR[14601115] ; Foundation of Shenzhen University[2016011] ; Fundamental Research Funds for the Central Universities[2016YXMS005] ; Chinese University of Hong Kong
WOS研究方向Mathematics
WOS类目Statistics & Probability
WOS记录号WOS:000453741300003
出版者STATISTICA SINICA
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/31928
专题应用数学研究所
通讯作者He, Haijin
作者单位1.Shenzhen Univ, Coll Math & Stat, Shenzhen, Peoples R China
2.Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan, Hubei, Peoples R China
3.Chinese Univ Hong Kong, Dept Stat, Hong Kong, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing, Peoples R China
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He, Haijin,Pan, Deng,Song, Xinyuan,et al. ADDITIVE MEAN RESIDUAL LIFE MODEL WITH LATENT VARIABLES UNDER RIGHT CENSORING[J]. STATISTICA SINICA,2019,29(1):47-66.
APA He, Haijin,Pan, Deng,Song, Xinyuan,&Sun, Liuquan.(2019).ADDITIVE MEAN RESIDUAL LIFE MODEL WITH LATENT VARIABLES UNDER RIGHT CENSORING.STATISTICA SINICA,29(1),47-66.
MLA He, Haijin,et al."ADDITIVE MEAN RESIDUAL LIFE MODEL WITH LATENT VARIABLES UNDER RIGHT CENSORING".STATISTICA SINICA 29.1(2019):47-66.
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