Smoothing Splines: Regression, Derivatives and Deconvolution.

Abstract

The statistical properties of a cubic smoothing spline and its derivative are analyzed. It is shown that unless unnatural boundary conditions hold, the integrated squared bias is dominated by local effects near the boundary. Similar effects are shown to occur in the regularized solution of a translation-kernel integral equation. These results are derived by developing a Fourier representation for a smoothing spline. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1981
Accession Number
ADA108631

Entities

People

  • John Rice
  • Murray Rosenblatt

Organizations

  • University of California, San Diego

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Boundaries
  • California
  • Coefficients
  • Equations
  • Fourier Analysis
  • Fourier Series
  • Hilbert Space
  • Integral Equations
  • Integrals
  • Mathematics
  • Military Research
  • Observation
  • Random Variables
  • Sequences
  • Translations
  • Triangles

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.