Knot-Placement to Avoid over Fitting in B-Spline Scedastic Smoothing
Communications in Statistics Simulation and Computation Volume 32 Issue 3
Page 771-786
published_at 2003-01
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| File | |
| Title ( eng ) |
Knot-Placement to Avoid over Fitting in B-Spline Scedastic Smoothing
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| Creator | |
| Source Title |
Communications in Statistics Simulation and Computation
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| Volume | 32 |
| Issue | 3 |
| Start Page | 771 |
| End Page | 786 |
| Abstract |
This paper deals with knot-placement in B-spline scedasitic smoothing. We commonly fit B-spline using knots between which each interval is the same width. The number of knots is selected by applying an information criterion with an optimization algorithm. In order to avoid over fitting with this method, we consider other arrangements based on the number of sample points in each interval. We choose knots such that each interval contains about the same number of samples. These knot placement schemes are compared through the Monte Carlo simulation.
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| Keywords |
B-spline smoothing
Equidistant arrangement
Equipotent arrangement
Information criterion
Knot-placement
Nonparametric regression
Optimization algorithm
Over fitting
Smoothing parameter
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| Language |
eng
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| Resource Type | journal article |
| Publisher |
Taylor & Francis
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| Date of Issued | 2003-01 |
| Rights |
Copyright (c) 2003 Taylor & Francis. This is an electronic version of an article published in "Communications in Statistics - Simulation and Computation Vol.32 Issue 3 pp.771-785" Disability and Rehabilitation is available at: http://dx.doi.org/10.1081/SAC-120017861
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| Publish Type | Author’s Original |
| Access Rights | open access |
| Source Identifier |
[ISSN] 0361-0918
[DOI] 10.1081/SAC-120017861
[NCID] AA10512671
[DOI] http://dx.doi.org/10.1081/SAC-120017861
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