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 Partially varying coefficient single-index additive hazard models Wang, Xuan1; Wang, Qihua1,2; Zhou, Xiao-Hua Andrew3 2015-10-01 Source Publication ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS ISSN 0020-3157 Volume 67Issue:5Pages:817-841 Abstract The partially linear additive hazards model has been proposed to study the interaction between some covariates and an exposure variable. In this paper, we extend it to the partially varying coefficient single-index additive hazard model where the high dimension covariates are collapsed to a single index, due to practical needs. Two sets of estimating equations were proposed to estimate the varying coefficient functions in the linear components: the link function for the single index and the single-index parameter vector separately. It was shown that the proposed local and global estimators are asymptotically normal. Simulation studies were conducted to examine the finite-sample performance of our method to compare the relative performance of our method with existing ones. A real data analysis was used to illustrate the proposed methods. Keyword Varying coefficient Partially linear single-index Two sets of estimating functions Iteration Asymptotic normality DOI 10.1007/s10463-014-0484-7 Language 英语 Funding Project National Science Fund for Distinguished Young Scholars in China[10725106] ; National Natural Science Foundation of China[11171331] ; National Natural Science Foundation of China[11331011] ; Key Lab of Random Complex Structure and Data Science ; CAS ; Natural Science Foundation of SZU WOS Research Area Mathematics WOS Subject Statistics & Probability WOS ID WOS:000360308700001 Publisher SPRINGER HEIDELBERG Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/20635 Collection 应用数学研究所 Corresponding Author Wang, Qihua Affiliation 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China2.Shenzhen Univ, Inst Stat Sci, Shenzhen 518060, Peoples R China3.Univ Washington, Dept Biostat, Seattle, WA 98198 USA Recommended CitationGB/T 7714 Wang, Xuan,Wang, Qihua,Zhou, Xiao-Hua Andrew. Partially varying coefficient single-index additive hazard models[J]. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS,2015,67(5):817-841. APA Wang, Xuan,Wang, Qihua,&Zhou, Xiao-Hua Andrew.(2015).Partially varying coefficient single-index additive hazard models.ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS,67(5),817-841. MLA Wang, Xuan,et al."Partially varying coefficient single-index additive hazard models".ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS 67.5(2015):817-841.
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