bibtype J - Journal Article
ARLID 0411009
utime 20240103182255.3
mtime 20060210235959.9
title (primary) (eng) Asymptotics for generalized piecewise linear histograms
specification
page_count 17 s.
serial
ARLID cav_un_epca*0297196
ISSN 0041-9184
title Publications de l'Institut de Statistique de l'Universite de Paris
volume_id 34
volume 3 (2002)
page_num 3-19
keyword nonparametric density estimation
keyword histogram
keyword piecewise linear histogram
author (primary)
ARLID cav_un_auth*0212436
name1 Berlinet
name2 A.
country FR
author
ARLID cav_un_auth*0101108
name1 Hobza
name2 Tomáš
institution UTIA-B
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0101218
name1 Vajda
name2 Igor
institution UTIA-B
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
COSATI 12B
cas_special
project
project_id GA102/99/1137
agency GA ČR
ARLID cav_un_auth*0004432
research CEZ:AV0Z1075907
abstract (eng) In a recent paper we have extended the concept of piecewise linear histogram (PLH) introduced by Beirlant, Berlinet and Gyorfi. The disadvantage of the PLH is that, in many models with probability closed to 1, it takes on negative values with probability close to one. We have shown that for all models satisfying mild assumptions, the class of our generalized piecewise linear histograms (GPLH's) contains a bona fide density with probability tending to 1 as the sample size n increases to infinity.
RIV BB
department SI
permalink http://hdl.handle.net/11104/0131096
ID_orig UTIA-B 20020223
arlyear 2002
mrcbU63 cav_un_epca*0297196 Publications de l'Institut de Statistique de l'Universite de Paris 0041-9184 Roč. 34 č. 3 2002 3 19