Adaptive group bridge estimation for high-dimensional partially linear models

Xiuli Wang,Mingqiu Wang

Published 2017 in Journal of Inequalities and Applications

ABSTRACT

This paper studies group selection for the partially linear model with a diverging number of parameters. We propose an adaptive group bridge method and study the consistency, convergence rate and asymptotic distribution of the global adaptive group bridge estimator under regularity conditions. Simulation studies and a real example show the finite sample performance of our method.

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