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Smoothing Splines with Boundary Correction
Authors:Chunfeng Huang
Affiliation:1. Department of Statistics , North Dakota State University , Fargo , North Dakota , USA chunfeng.Huang@ndsu.nodak.edu
Abstract:Regular smoothing splines are known to have a type of boundary bias problem that can reduce their estimation efficiency. In this paper, a boundary corrected smoothing spline with general order is designed in a way that the risk will decay at an optimal rate. An O(n) algorithm is also developed to compute the resultant estimator efficiently.
Keywords:Boundary bias  Order n algorithm  Smoothing spline
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