### A Simple Root $n$ Bandwidth Selector

M. C. Jones, J. S. Marron, and B. U. Park
Source: Ann. Statist. Volume 19, Number 4 (1991), 1919-1932.

#### Abstract

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.

First Page:
Primary Subjects: 62G05
Full-text: Open access

Permanent link to this document: http://projecteuclid.org/euclid.aos/1176348378
Digital Object Identifier: doi:10.1214/aos/1176348378
Mathematical Reviews number (MathSciNet): MR1135156
Zentralblatt MATH identifier: 0745.62033