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Smoothing splines: Regression, derivatives and deconvolutionThe 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 intergral equation. These results are derived by developing a Fourier representation for a smoothing spline.
Document ID
19830007510
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Rice, J. (California Univ., San Diego La Jolla, CA, United States)
Rosenblatt, M. (California Univ., San Diego La Jolla, CA, United States)
Date Acquired
August 11, 2013
Publication Date
January 1, 1982
Publication Information
Publication: Texas A and M Univ. Proc. of the NASA Workshop on Density Estimation and Function smoothing
Subject Category
Earth Resources And Remote Sensing
Accession Number
83N15781
Funding Number(s)
CONTRACT_GRANT: N00014-81-K-0003
CONTRACT_GRANT: NSF MCS-79-01800
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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IDRelationTitle19830007503Collected WorksProceedings of the NASA Workshop on Density Estimation and Function Smoothing
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