Achieving the oracle property of OEM with nonconvex penalties

Thepenalised least square estimator of non-convex penalties such as the smoothly clipped absolute deviation (SCAD) and the minimax concave penalty (MCP) is highly nonlinear and has many local optima. Finding a local solution to achieve the so-called oracle property is a challenging problem. We show...

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Bibliographic Details
Main Authors: Shifeng Xiong, Bin Dai, Peter Z. G. Qian
Format: Article
Language:English
Published: Taylor & Francis Group 2017-01-01
Series:Statistical Theory and Related Fields
Subjects:
Online Access:http://dx.doi.org/10.1080/24754269.2017.1326079