The asymptotically best bandwidth selectors for a kernel density estimator currently require the use of either unappealing higher order kernel pilot estimators or related Fourier transform methods. The point of this paper is to present a methodology which allows the fastest possible rate of convergence with the use of only nonnegative kernel estimators at all stages of the selection process. The essential idea is derived through careful study of factorizations of the pilot bandwidth in terms of the original bandwidth.
Publié le : 1991-12-14
Classification:
Bandwidth factorization,
bandwidth selection,
density estimation,
kernel estimators,
rates of convergence,
smoothed cross-validation,
62G05
@article{1176348378,
author = {Jones, M. C. and Marron, J. S. and Park, B. U.},
title = {A Simple Root $n$ Bandwidth Selector},
journal = {Ann. Statist.},
volume = {19},
number = {1},
year = {1991},
pages = { 1919-1932},
language = {en},
url = {http://dml.mathdoc.fr/item/1176348378}
}
Jones, M. C.; Marron, J. S.; Park, B. U. A Simple Root $n$ Bandwidth Selector. Ann. Statist., Tome 19 (1991) no. 1, pp. 1919-1932. http://gdmltest.u-ga.fr/item/1176348378/