Advanced search
Start date
Betweenand
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

OPTIMAL MODEL SELECTION FOR DENSITY ESTIMATION OF STATIONARY DATA UNDER VARIOUS MIXING CONDITIONS

Full text
Author(s):
Lerasle, Matthieu [1]
Total Authors: 1
Affiliation:
[1] INSA Toulouse, IMT, UMR 5219, F-31077 Toulouse 4 - France
Total Affiliations: 1
Document type: Journal article
Source: ANNALS OF STATISTICS; v. 39, n. 4, p. 1852-1877, AUG 2011.
Web of Science Citations: 6
Abstract

We propose a block-resampling penalization method for marginal density estimation with nonnecessary independent observations. When the data are beta or tau-mixing, the selected estimator satisfies oracle inequalities with leading constant asymptotically equal to 1. We also prove in this setting the slope heuristic, which is a data-driven method to optimize the leading constant in the penalty. (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