Knot-Placement to Avoid over Fitting in B-Spline Scedastic Smoothing

Communications in Statistics Simulation and Computation 32 巻 3 号 771-786 頁 2003-01 発行
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タイトル ( eng )
Knot-Placement to Avoid over Fitting in B-Spline Scedastic Smoothing
作成者
収録物名
Communications in Statistics Simulation and Computation
32
3
開始ページ 771
終了ページ 786
抄録
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.
著者キーワード
B-spline smoothing
Equidistant arrangement
Equipotent arrangement
Information criterion
Knot-placement
Nonparametric regression
Optimization algorithm
Over fitting
Smoothing parameter
言語
英語
資源タイプ 学術雑誌論文
出版者
Taylor & Francis
発行日 2003-01
権利情報
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
出版タイプ Author’s Original(十分な品質であるとして、著者から正式な査読に提出される版)
アクセス権 オープンアクセス
収録物識別子
[ISSN] 0361-0918
[DOI] 10.1081/SAC-120017861
[NCID] AA10512671
[DOI] http://dx.doi.org/10.1081/SAC-120017861