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Variable selection of generalized regression models based on maximum rank correlation
Authors:Peng-jie Dai  Qing-zhao Zhang  Zhi-hua Sun
Institution:1. School of Business, Renmin University of China, Beijing, 100872, China
2. Department of Mathematics, University of Chinese Academy of Sciences, Beijing, 100049, China
Abstract: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.
Keywords:maximum rank correlation estimation  adaptive LASSO  oracle properties  generalized regression models  
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