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ADDITIVE MEAN RESIDUAL LIFE MODEL WITH LATENT VARIABLES UNDER RIGHT CENSORING
He, Haijin1; Pan, Deng2; Song, Xinyuan3; Sun, Liuquan4
2019
Source PublicationSTATISTICA SINICA
ISSN1017-0405
Volume29Issue:1Pages:47-66
AbstractWe 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.
KeywordBorrow-strength estimation corrected estimating equations distribution-free factor analysis latent variables mean residual life function model checking
DOI10.5705/ss.202015.0369
Language英语
Funding ProjectNSFC 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 Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000453741300003
PublisherSTATISTICA SINICA
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31928
Collection应用数学研究所
Affiliation1.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
Recommended Citation
GB/T 7714
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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