Variable selection for fixed effects varying coefficient models

Verfasser / Beitragende:
[Gao Li, Heng Lian, Peng Lai, Heng Peng]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/1(2015-01-01), 91-110
Format:
Artikel (online)
ID: 605461015
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024 7 0 |a 10.1007/s10114-015-3159-2  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-3159-2 
245 0 0 |a Variable selection for fixed effects varying coefficient models  |h [Elektronische Daten]  |c [Gao Li, Heng Lian, Peng Lai, Heng Peng] 
520 3 |a We consider the problem of variable selection for the fixed effects varying coefficient models. A variable selection procedure is developed using basis function approximations and group nonconcave penalized functions, and the fixed effects are removed using the proper weight matrices. The proposed procedure simultaneously removes the fixed individual effects, selects the significant variables and estimates the nonzero coefficient functions. With appropriate selection of the tuning parameters, an asymptotic theory for the resulting estimates is established under suitable conditions. Simulation studies are carried out to assess the performance of our proposed method, and a real data set is analyzed for further illustration. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a Varying coefficient model  |2 nationallicence 
690 7 |a fixed effect  |2 nationallicence 
690 7 |a variable selection  |2 nationallicence 
690 7 |a basis function  |2 nationallicence 
700 1 |a Li  |D Gao  |u Beijing Center for Scientific and Engineering Computing, College of Applied Sciences, Beijing University of Technology, 100124, Beijing, P. R. China  |4 aut 
700 1 |a Lian  |D Heng  |u School of Mathematics and Statistics, The University of New South, 2052, Wales, Australia  |4 aut 
700 1 |a Lai  |D Peng  |u School of Mathematics & Statistics, Nanjing University of Information Science & Technology, 210044, Nanjing, P. R. China  |4 aut 
700 1 |a Peng  |D Heng  |u Department of Mathematics, Hong Kong Baptist University, Hong Kong, P. R. China  |4 aut 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/1(2015-01-01), 91-110  |x 1439-8516  |q 31:1<91  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-3159-2  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-3159-2  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Li  |D Gao  |u Beijing Center for Scientific and Engineering Computing, College of Applied Sciences, Beijing University of Technology, 100124, Beijing, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Lian  |D Heng  |u School of Mathematics and Statistics, The University of New South, 2052, Wales, Australia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Lai  |D Peng  |u School of Mathematics & Statistics, Nanjing University of Information Science & Technology, 210044, Nanjing, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Peng  |D Heng  |u Department of Mathematics, Hong Kong Baptist University, Hong Kong, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/1(2015-01-01), 91-110  |x 1439-8516  |q 31:1<91  |1 2015  |2 31  |o 10114