SCAD-Ridge penalized likelihood estimators for ultra-high dimensional models

SCAD-Ridge penalized likelihood estimators for ultra-high dimensional models
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超高维模型的 SCAD-Ridge 惩罚似然估计器

DOI:
10.15672/hjms.201612518375
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发表时间:
2016-05
影响因子:
0.8
通讯作者:
Muhammad Amin
Muhammad Amin
中科院分区:
数学4区
文献类型:
--
作者:
Ying Dong;Lixin Song;Muhammad Amin

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从大数据中提取尽可能多的信息是现代统计数据中的一个燃烧问题,因为与观察相比,已采用了惩罚来解决此类问题。许多成就有Alre
Extraction of as much information as possible from huge data is a burning issue in the modern statistics due to more variables as compared to observations therefore penalization has been employed to resolve that kind of issues. Many achievements have already been made by such penalization techniques. Due to the large number of variables in many research areas declare it a high dimensional problem and with this the sample correlation becomes very large. In this paper, we studied the maximum likelihood estimation of variable selection under smoothly clipped absolute deviation (SCAD) and Ridge penalties with ultra-high dimension settings to solve this problem. We established the oracle property of the proposed model under some conditions by following the theoretical method of Kown and Kim (2012) [19]. These result can greatly broaden the application scope of high-dimension data. Numerical studies are discussed to assess the performance of the proposed method. The SCAD-Ridge given better results than the Lasso, Enet and SCAD.
DOI: 10.1214/10-aoas388
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影响因子: --
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