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March, 1992 Relaxed Boundary Smoothing Splines
Gary W. Oehlert
Ann. Statist. 20(1): 146-160 (March, 1992). DOI: 10.1214/aos/1176348516

Abstract

Ordinary smoothing splines have an integrated mean squared error which is dominated by bias contributions at the boundaries. When the estimated function has additional derivatives, the boundary contribution to the bias affects the asymptotic rate of convergence unless the derivatives of the estimated function meet the natural boundary conditions. This paper introduces relaxed boundary smoothing splines and shows that they obtain the optimal asymptotic rate of convergence without conditions on the boundary derivatives of the estimated function.

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Gary W. Oehlert. "Relaxed Boundary Smoothing Splines." Ann. Statist. 20 (1) 146 - 160, March, 1992. https://doi.org/10.1214/aos/1176348516

Information

Published: March, 1992
First available in Project Euclid: 12 April 2007

zbMATH: 0746.62043
MathSciNet: MR1150338
Digital Object Identifier: 10.1214/aos/1176348516

Subjects:
Primary: 62G07
Secondary: 62G20

Rights: Copyright © 1992 Institute of Mathematical Statistics

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Vol.20 • No. 1 • March, 1992
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