In this paper, we present a variable selection procedure by using basis function approximations and a partial group SCAD penalty for semiparametric varying coefficient partially linear models with longitudinal data. With appropriate selection of the tuning parameters, we establish the oracle property of this procedure. A simulation study is undertaken to assess the finite sample performance of the proposed variable selection procedure.
机构:
Changchun Univ Technol, Sch Math & Stat, Changchun, Jilin, Peoples R ChinaChangchun Univ Technol, Sch Math & Stat, Changchun, Jilin, Peoples R China
Yuan, Xiaohui
Wang, Yue
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Changchun Univ Technol, Sch Math & Stat, Changchun, Jilin, Peoples R ChinaChangchun Univ Technol, Sch Math & Stat, Changchun, Jilin, Peoples R China
机构:
Yunnan Univ, Dept Stat, Kunming 650091, Peoples R ChinaYunnan Univ, Dept Stat, Kunming 650091, Peoples R China
Tang, An-Min
Zhao, Xingqiu
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Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China
Hong Kong Polytech Univ, Shenzhen Res Inst, Shenzhen 518057, Peoples R ChinaYunnan Univ, Dept Stat, Kunming 650091, Peoples R China
Zhao, Xingqiu
Tang, Nian-Sheng
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Yunnan Univ, Dept Stat, Kunming 650091, Peoples R ChinaYunnan Univ, Dept Stat, Kunming 650091, Peoples R China
机构:
Xi An Jiao Tong Univ, Sch Math & Stat, Xian, Peoples R China
Tsinghua Univ, Ctr Stat Sci, Dept Ind Engn, Beijing, Peoples R ChinaXi An Jiao Tong Univ, Sch Math & Stat, Xian, Peoples R China
Fu, Z. C.
Fu, L. Y.
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Xi An Jiao Tong Univ, Sch Math & Stat, Xian, Peoples R ChinaXi An Jiao Tong Univ, Sch Math & Stat, Xian, Peoples R China
Fu, L. Y.
Song, Y. N.
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Xi An Jiao Tong Univ, Sch Math & Stat, Xian, Peoples R ChinaXi An Jiao Tong Univ, Sch Math & Stat, Xian, Peoples R China
机构:
Tokyo Univ Sci, Fac Engn, Dept Management Sci, Chiyoda, Kudankita 1-14-6, Tokyo 1020073, JapanTokyo Univ Sci, Fac Engn, Dept Management Sci, Chiyoda, Kudankita 1-14-6, Tokyo 1020073, Japan
Kato, Risa
Shiohama, Takayuki
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Tokyo Univ Sci, Fac Engn, Dept Management Sci, Chiyoda, Kudankita 1-14-6, Tokyo 1020073, JapanTokyo Univ Sci, Fac Engn, Dept Management Sci, Chiyoda, Kudankita 1-14-6, Tokyo 1020073, Japan