HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation

Histogram selection in non gaussian regression

Marie Sauvé 1
1 SELECT - Model selection in statistical learning
LMO - Laboratoire de Mathématiques d'Orsay, Inria Saclay - Ile de France
Abstract : We deal with the problem of choosing an histogram estimator of a regression function $s$ mapping $\mathcalX$ into $\mathbbR$. We adopt the non asymptotic approach of model selection via penalization developped by Birgé and Massart, but we do not assume that the observations are gaussian variables. We consider a collection of partitions of $\mathcalX$, with possibly exponential complexity, and the corresponding collection of histogram estimators. We propose a penalized least squares criterion which selects a partition whose associated estimator performs approximately as well as the best one, in the sense that its quadratic risk is close to the infimum of the risks. The risk bound we provide is non asymptotic.
Document type :
Complete list of metadata

Cited literature [11 references]  Display  Hide  Download

Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Tuesday, May 23, 2006 - 4:48:34 PM
Last modification on : Wednesday, April 20, 2022 - 3:37:40 AM
Long-term archiving on: : Tuesday, February 22, 2011 - 11:54:28 AM


  • HAL Id : inria-00071351, version 1


Marie Sauvé. Histogram selection in non gaussian regression. [Research Report] RR-5911, INRIA. 2006. ⟨inria-00071351⟩



Record views


Files downloads