Some Aspects of the Spline Smoothing Approach to Non-Parametric Regression Curve Fitting

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ID: 298465
1985
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Ranked #95 of 145 articles by views in Journal of the Royal Statistical Society Series B (Statistical Methodology)

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Abstract
SUMMARY Non-parametric regression using cubic splines is an attractive, flexible and widely-applicable approach to curve estimation. Although the basic idea was formulated many years ago, the method is not as widely known or adopted as perhaps it should be. The topics and examples discussed in this paper are intended to promote the understanding and extend the practicability of the spline smoothing methodology. Particular subjects covered include the basic principles of the method; the relation with moving average and other smoothing methods; the automatic choice of the amount of smoothing; and the use of residuals for diagnostic checking and model adaptation. The question of providing inference regions for curves – and for relevant properties of curves – is approached via a finite-dimensional Bayesian formulation.
Reference Key
openalex_W1510444525 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors B. W. Silverman
Journal Journal of the Royal Statistical Society Series B (Statistical Methodology)
Year 1985
DOI
10.1111/j.2517-6161.1985.tb01327.x
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