KMS Of Academy of mathematics and systems sciences, CAS
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 |
ISSN | 1017-0405 |
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 |
DOI | 10.5705/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 |
推荐引用方式 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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