Skip navigation
Skip navigation

Bump hunting with non-Gaussian kernels

Hall, Peter; Minnotte, Michael C.; Zhang, Chunming


It is well known that the number of modes of a kernel density estimator is monotone nonincreasing in the bandwidth if the kernel is a Gaussian density. There is numerical evidence of nonmonotonicity in the case of some non-Gaussian kernels, but little additional information is available. The present paper provides theoretical and numerical descriptions of the extent to which the number of modes is a nonmonotone function of bandwidth in the case of general compactly supported densities....[Show more]

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
Source: Annals of Statistics
DOI: 10.1214/009053604000000715
Access Rights: Open Access


File Description SizeFormat Image
01_Hall_Bump_Hunting_2004.pdf159.31 kBAdobe PDFThumbnail

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator