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Variable selection using penalized empirical likelihood
Authors:YunWen Ren  XinSheng Zhang
Affiliation:REN YunWen 1,2 & ZHANG XinSheng 2,1 Guanghua School of Management,Peking University,Beijing 100871,China,2 Department of Statistics,School of Management,Fudan University,Shanghai 200433
Abstract:This paper considers variable selection for moment restriction models.We propose a penalized empirical likelihood(PEL) approach that has desirable asymptotic properties comparable to the penalized likelihood approach,which relies on a correct parametric likelihood specification.In addition to being consistent and having the oracle property,PEL admits inference on parameter without having to estimate its estimator's covariance.An approximate algorithm,along with a consistent BIC-type criterion for selecting ...
Keywords:EmBIC  moment restrictions  oracle property  penalized empirical likelihood(PEL)  SCAD  tuning parameters  
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