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Variable selection for frailty transformation models with application to diabetic complications
Liu, Xu1; Song, Xinyuan2,3; Xie, Shangyu4,5; Zhou, Yong1,6
2016-09-01
Source PublicationCANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE
ISSN0319-5724
Volume44Issue:3Pages:375-394
AbstractThis article focuses on variable selection in the context of gamma frailty transformation models for multivariate survival times. We propose a method based on a nonconcave penalty function to select relevant regression predictors and simultaneously estimate model parameters and nonparametric functions. Our procedure performs as well as the oracle one in which the true model is assumed to be known. We conduct simulation studies to demonstrate the performance of the proposed methodology. We apply our method to a case study based on the Hong Kong Diabetes Registry, and obtain new insights on the risk factors of cardiovascular-renal complications for type 2 diabetic patients. The Canadian Journal of Statistics 44: 375-394; 2016 (c) 2016 Statistical Society of Canada
KeywordDiabetic complications Gamma frailty MM algorithm SCAD transformation models variable selection MSC 2010: Primary 62G08 secondary 62N01
DOI10.1002/cjs.11291
Language英语
Funding ProjectNational Natural Science Foundation of China ; Hong Kong Special Administration Region ; State Key Program of National Natural Science Foundation of China ; Fundamental Research Funds for the Central Universities in UIBE ; Key Laboratory of RCSDS, AMSS, CAS ; Shanghai First-class Discipline A and IRTSHUFE, PCSIRT
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000380912000007
PublisherWILEY-BLACKWELL
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/23493
Collection应用数学研究所
Corresponding AuthorXie, Shangyu
Affiliation1.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai, Peoples R China
2.Chinese Univ Hong Kong, Shenzhen Res Inst, Hong Kong, Hong Kong, Peoples R China
3.Chinese Univ Hong Kong, Dept Stat, Hong Kong, Hong Kong, Peoples R China
4.Univ Int Business & Econ, RCAF, Beijing, Peoples R China
5.Univ Int Business & Econ, Sch Banking & Finance, Beijing, Peoples R China
6.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Liu, Xu,Song, Xinyuan,Xie, Shangyu,et al. Variable selection for frailty transformation models with application to diabetic complications[J]. CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE,2016,44(3):375-394.
APA Liu, Xu,Song, Xinyuan,Xie, Shangyu,&Zhou, Yong.(2016).Variable selection for frailty transformation models with application to diabetic complications.CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE,44(3),375-394.
MLA Liu, Xu,et al."Variable selection for frailty transformation models with application to diabetic complications".CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE 44.3(2016):375-394.
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