The generalized varying coefficient partially linear model (GVCPLM) enjoys the flexibility of the generalized varying coefficient model and the parsimony and interpretability of the generalized linear model. Statistical inference of GVCPLM is restricted with a condition that the components of varying and constant coefficients are known in advance. Alternatively, the current study is focused on the structure's identification of varying and constant coefficient for GVCPLM and it is based on the spline basis approximation and the group SCAD. This is proved that the proposed method can consistently determine the structure of the GVCPLM under certain conditions, which means that it can accurately choose the varying and constant coefficients precisely. Simulation studies and a real data application are conducted to assess the infinite sample performance of the proposed method.

Group variable selection, Group SCAD, Selection consistency, Structure identification

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Birincil Dil | en |
---|---|

Konular | Matematik |

Dergi Bölümü | İstatistik |

Yazarlar |

Bibtex | ```
@araştırma makalesi { hujms453624,
journal = {Hacettepe Journal of Mathematics and Statistics},
issn = {1303-5010},
address = {Hacettepe Üniversitesi},
year = {2018},
volume = {47},
pages = {1041 - 1060},
doi = {},
title = {Identification and estimation for generalized varying coefficient partially linear models},
key = {cite},
author = {Wang, Xiuli and Amin, Muhammad and Wang, Mingqiu}
}
``` |

APA | Wang, M , Wang, X , Amin, M . (2018). Identification and estimation for generalized varying coefficient partially linear models. Hacettepe Journal of Mathematics and Statistics, 47 (4), 1041-1060. Retrieved from http://dergipark.gov.tr/hujms/issue/38872/453624 |

MLA | Wang, M , Wang, X , Amin, M . "Identification and estimation for generalized varying coefficient partially linear models". Hacettepe Journal of Mathematics and Statistics 47 (2018): 1041-1060 <http://dergipark.gov.tr/hujms/issue/38872/453624> |

Chicago | Wang, M , Wang, X , Amin, M . "Identification and estimation for generalized varying coefficient partially linear models". Hacettepe Journal of Mathematics and Statistics 47 (2018): 1041-1060 |

RIS | TY - JOUR T1 - Identification and estimation for generalized varying coefficient partially linear models AU - Mingqiu Wang , Xiuli Wang , Muhammad Amin Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1041 EP - 1060 VL - 47 IS - 4 SN - 1303-5010- M3 - UR - Y2 - 2016 ER - |

EndNote | %0 Hacettepe Journal of Mathematics and Statistics Identification and estimation for generalized varying coefficient partially linear models %A Mingqiu Wang , Xiuli Wang , Muhammad Amin %T Identification and estimation for generalized varying coefficient partially linear models %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 1303-5010- %V 47 %N 4 %R %U |

ISNAD | Wang, Mingqiu , Wang, Xiuli , Amin, Muhammad . "Identification and estimation for generalized varying coefficient partially linear models". Hacettepe Journal of Mathematics and Statistics 47 / 4 (Ağustos 2018): 1041-1060. |