bibtype J - Journal Article
ARLID 0410986
utime 20240103182253.8
mtime 20060210235959.9
title (primary) (eng) Generalized piecewise linear histograms
specification
page_count 13 s.
serial
ARLID cav_un_epca*0255135
ISSN 0039-0402
title Statistica Neerlandica
volume_id 56
volume 3 (2002)
page_num 301-313
keyword nonparametric density estimation
keyword densitogram
keyword mean integrated absolute error
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) We extend the concept of piecewise linear histogram introduced recently by Beirlant, Berlinet and Gyorfi. The disadvantage of that histogram is that in many models it takes on negative values with probability close to 1. We show that for a wide set of models, the extended class of estimates contains a bona fide density with probability tending to 1 as the sample size n increases to infinity, with the error decreasing with the same rate as in the original narrower class.
RIV BB
department SI
permalink http://hdl.handle.net/11104/0131073
ID_orig UTIA-B 20020200
arlyear 2002
mrcbU63 cav_un_epca*0255135 Statistica Neerlandica 0039-0402 1467-9574 Roč. 56 č. 3 2002 301 313