| Full text | |
| Author(s): |
Lerasle, Matthieu
[1]
Total Authors: 1
|
| Affiliation: | [1] IME USP, INSA Toulouse, Inst Math Toulouse, CNRS, UMR 5219, Sao Paulo - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES; v. 48, n. 3, p. 884-908, AUG 2012. |
| Web of Science Citations: | 10 |
| Abstract | |
In order to calibrate a penalization procedure for model selection, the statistician has to choose a shape for the penalty and a leading constant. In this paper, we study, for the marginal density estimation problem, the resampling penalties as general estimators of the shape of an ideal penalty. We prove that the selected estimator satisfies sharp oracle inequalities without remainder terms under a few assumptions on the marginal density s and the collection of models. We also study the slope heuristic, which yields a data-driven choice of the leading constant in front of the penalty when the complexity of the models is well-chosen. (AU) | |
| FAPESP's process: | 09/09494-0 - Bootstrap and model selection for stochastic chains with memory of variable length |
| Grantee: | Matthieu Pierre Lerasle |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |