ON QUALITATIVE SMOOTHNESS OF KERNEL DENSITY ESTIMATES

Authors
MAMMEN E
Citation
E. Mammen, ON QUALITATIVE SMOOTHNESS OF KERNEL DENSITY ESTIMATES, Statistics, 26(3), 1995, pp. 253-267
Citations number
15
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Statistics → ACNP
ISSN journal
02331888
Volume
26
Issue
3
Year of publication
1995
Pages
253 - 267
Database
ISI
SICI code
0233-1888(1995)26:3<253:OQSOKD>2.0.ZU;2-Q
Abstract
In this paper we give asymptotic expansions for the expected number of local extremes and inflection points of kernel density estimates. We argue that these numbers can be used as an indicator for the ''qualita tive'' smoothness of the density estimate.