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http://hdl.handle.net/1942/269
Title: | Some theory for penalized spline additive models | Authors: | AERTS, Marc CLAESKENS, Gerda Wand, Matthew P. |
Issue Date: | 2002 | Publisher: | ELSEVIER SCIENCE BV | Source: | Journal of Statistical Planning and Inference, 103(1-2). p. 455-470 | Abstract: | Generalized additive models have become one of the most widely used modern statistical tools. Traditionally, they are fit through scatterplot smoothing and the backfitting algorithm. However, a more recent development is the direct fitting through the use of low-rank smoothers (Hastie, J. Roy. Statist. Soc. Ser. B 58 (1996) 379). A particularly attractive example of this is through use of penalized splines (Marx and Eilers, Comput. Statist. Data Anal. 28 (1998) 193). Such an approach has a number of advantages, particularly regarding computation. In this paper, we exploit the explicitness of penalized spline additive models to derive some useful and revealing theoretical approximations. | Document URI: | http://hdl.handle.net/1942/269 | ISSN: | 0378-3758 | e-ISSN: | 1873-1171 | DOI: | 10.1016/S0378-3758(01)00237-3 | ISI #: | 000175149800028 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2003 |
Appears in Collections: | Research publications |
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