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Model selection and estimation in high dimensional regression models with group SCAD. (English) Zbl 1328.62241

Summary: In this paper, we study the oracle property of the group SCAD under high dimensional settings where the number of groups can grow at a certain polynomial rate. Numerical studies are presented to demonstrate the merit of the group SCAD.

MSC:

62G08 Nonparametric regression and quantile regression
62G20 Asymptotic properties of nonparametric inference
65C60 Computational problems in statistics (MSC2010)

References:

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