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稳健的变量选择方法及其应用
引用本文:樊亚莉,徐群芳.稳健的变量选择方法及其应用[J].上海理工大学学报,2013,35(3):256-260.
作者姓名:樊亚莉  徐群芳
作者单位:上海理工大学 理学院, 上海200093;浙江农林大学 理学院, 临安 311300
摘    要:在已有的变量选择方法和稳健估计方法的基础上,提出了一种针对纵向数据的稳健的变量选择方法,通过模拟衡量其稳健性,并将其应用到一组实际的纵向数据分析中.模拟和实例分析结果表明,提出的稳健的变量选择方法在选择变量、估计变量系数的同时,对数据中可能存在的异常值有明显的抵抗作用.

关 键 词:惩罚函数  估计方程  稳健性  变量选择

Robust Variable Selection Method and Its Application
FAN Ya li and XU Qun fang.Robust Variable Selection Method and Its Application[J].Journal of University of Shanghai For Science and Technology,2013,35(3):256-260.
Authors:FAN Ya li and XU Qun fang
Institution:1.College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China; 2.College of Science,Zhejiang Agriculture and Forestry University,Linan 311300,China)
Abstract:Based on the variable selection methods and robust estimation methods presnted in literatures,a robust variable selection method was proposed for longitudinal data,and the robustness of the proposed method was evaluated by simulation study.The proposed method was then applied in the analysis of a real data set.It is found from the simulation and analysis of the real data that the proposed robust variable selection method can estimate correctly the regression parameters and select properly the important covariant variables,and it is also robust against outliers in the data set.
Keywords:penalty function  estimation equation  robustness  variable selection
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