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Statements

Subject Item
n2:RIV%2F67985556%3A_____%2F02%3A16020200%21RIV%2F2003%2FGA0%2FA16003%2FN
rdf:type
skos:Concept n12:Vysledek
dcterms:description
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. 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.
dcterms:title
Generalized piecewise linear histograms. Generalized piecewise linear histograms.
skos:prefLabel
Generalized piecewise linear histograms. Generalized piecewise linear histograms.
skos:notation
RIV/67985556:_____/02:16020200!RIV/2003/GA0/A16003/N
n3:strany
301;313
n3:aktivita
n8:Z n8:P
n3:aktivity
P(GA102/99/1137), Z(AV0Z1075907), Z(MSM 210000010)
n3:cisloPeriodika
3
n3:dodaniDat
n14:2003
n3:domaciTvurceVysledku
n13:9287833 n13:7997698
n3:druhVysledku
n18:J
n3:duvernostUdaju
n10:S
n3:entitaPredkladatele
n17:predkladatel
n3:idSjednocenehoVysledku
681018
n3:idVysledku
RIV/67985556:_____/02:16020200
n3:jazykVysledku
n15:eng
n3:klicovaSlova
nonparametric density estimation; densitogram; mean integrated absolute error
n3:klicoveSlovo
n6:mean%20integrated%20absolute%20error n6:nonparametric%20density%20estimation n6:densitogram
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[0CA973341B05]
n3:nazevZdroje
Statistica Neerlandica
n3:obor
n5:BB
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
3
n3:pocetUcastnikuAkce
0
n3:pocetZahranicnichUcastnikuAkce
0
n3:projekt
n4:GA102%2F99%2F1137
n3:rokUplatneniVysledku
n14:2002
n3:svazekPeriodika
56
n3:tvurceVysledku
Vajda, Igor Berlinet, A. Hobza, Tomáš
n3:zamer
n7:MSM%20210000010 n7:AV0Z1075907
s:issn
0039-0402
s:numberOfPages
13