From finite sample to asymptotics: A geometric bridge for selection criteria in spline regression
| dc.creator | Kou, S. C. | |
| dc.date | 2005-08-30 | |
| dc.date.accessioned | 2026-07-07T08:07:15Z | |
| dc.date.available | 2026-07-07T08:07:15Z | |
| dc.description | This paper studies, under the setting of spline regression, the connection between finite-sample properties of selection criteria and their asymptotic counterparts, focusing on bridging the gap between the two. We introduce a bias-variance decomposition of the prediction error, using which it is shown that in the asymptotics the bias term dominates the variability term, providing an explanation of the gap. A geometric exposition is provided for intuitive understanding. The theoretical and geometric results are illustrated through a numerical example. | |
| dc.description | Published at http://dx.doi.org/10.1214/009053604000000841 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0508596 | |
| dc.identifier | http://arxiv.org/abs/math/0508596 | |
| dc.identifier | Annals of Statistics 2004, Vol. 32, No. 6, 2444-2468 | |
| dc.identifier | doi:10.1214/009053604000000841 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130877 | |
| dc.subject | Statistics Theory | |
| dc.subject | 62G08 (Primary) 62G20. (Secondary) | |
| dc.title | From finite sample to asymptotics: A geometric bridge for selection criteria in spline regression | |
| dc.type | text |