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Variable Selection of Generalized Regression Models Based on Maximum Rank Correlation

Variable Selection of Generalized Regression Models Based on Maximum Rank Correlation
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摘要 In this paper, we investigate the variable selection problem of the generalized regression models. To estimate the regression parameter, a procedure combining the rank correlation method and the adaptive lasso technique is developed, which is proved to have oracle properties. A modified IMO (iterative marginal optimization) algorithm which directly aims to maximize the penalized rank correlation function is proposed. The effects of the estimating procedure are illustrated by simulation studies. In this paper, we investigate the variable selection problem of the generalized regression models. To estimate the regression parameter, a procedure combining the rank correlation method and the adaptive lasso technique is developed, which is proved to have oracle properties. A modified IMO (iterative marginal optimization) algorithm which directly aims to maximize the penalized rank correlation function is proposed. The effects of the estimating procedure are illustrated by simulation studies.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2014年第3期833-844,共12页 应用数学学报(英文版)
基金 supported by National Natural Science Foundation of China(10901162) supported by the Fundamental Research Funds for the Central Universities and the Research Funds of Renmin University of China(10XNF073) supported by China Postdoctoral Science Foundation(2014M550799)
关键词 maximum rank correlation estimation adaptive LASSO oracle properties generalized regression models. maximum rank correlation estimation adaptive LASSO oracle properties generalized regression models.
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