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Estimation and model identification of longitudinal data time-varying nonparametric models
Liu, Shu1; You, Jinhong2; Lian, Heng3
刊名JOURNAL OF MULTIVARIATE ANALYSIS
2017-04
卷号156页码:116-136
关键词Longitudinal data Modified Cholesky decomposition Model identification Nonparametric regression Time-varying
ISSN号0047-259X
DOI10.1016/j.jmva.2017.02.003
英文摘要In this paper, we consider nonparametric regression modeling for longitudinal data. An important modeling choice is that the covariate effect may change dynamically with time by using a bivariate link function. Comparing with Jiang and Wang (2010, 2011), and Zhang et al. (2013) we make two distinct contributions to this important class of models. First, we show theoretically and empirically that taking the within-subject correlation into account can improve the estimation efficiency for the bivariate link function. Second, we propose a novel method involving a shrinkage estimation technique to identify consistently whether the effect of covariates is time-varying. Simulation studies are conducted to assess the finite-sample performance and a real data example is analyzed to illustrate the proposed methods. (C) 2017 Elsevier Inc. All rights reserved.
WOS研究方向Mathematics
语种英语
出版者ELSEVIER INC
WOS记录号WOS:000398649500009
内容类型期刊论文
源URL[http://10.2.47.112/handle/2XS4QKH4/1004]  
专题上海财经大学
通讯作者Liu, Shu
作者单位1.Shanghai Univ Int Business & Econ, Sch Stat & Informat, Shanghai 201620, Peoples R China;
2.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai 200433, Peoples R China;
3.City Univ Hong Kong, Dept Math, Kowloon Tong 999077, Hong Kong, Peoples R China
推荐引用方式
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Liu, Shu,You, Jinhong,Lian, Heng. Estimation and model identification of longitudinal data time-varying nonparametric models[J]. JOURNAL OF MULTIVARIATE ANALYSIS,2017,156:116-136.
APA Liu, Shu,You, Jinhong,&Lian, Heng.(2017).Estimation and model identification of longitudinal data time-varying nonparametric models.JOURNAL OF MULTIVARIATE ANALYSIS,156,116-136.
MLA Liu, Shu,et al."Estimation and model identification of longitudinal data time-varying nonparametric models".JOURNAL OF MULTIVARIATE ANALYSIS 156(2017):116-136.
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