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Statements

Subject Item
n2:RIV%2F67985556%3A_____%2F02%3A16020223%21RIV%2F2003%2FGA0%2FA16003%2FN
rdf:type
skos:Concept n17:Vysledek
dcterms:description
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. 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.
dcterms:title
Asymptotics for generalized piecewise linear histograms. Asymptotics for generalized piecewise linear histograms.
skos:prefLabel
Asymptotics for generalized piecewise linear histograms. Asymptotics for generalized piecewise linear histograms.
skos:notation
RIV/67985556:_____/02:16020223!RIV/2003/GA0/A16003/N
n3:strany
3;19
n3:aktivita
n6:Z n6:P
n3:aktivity
P(GA102/99/1137), Z(AV0Z1075907)
n3:cisloPeriodika
3
n3:dodaniDat
n8:2003
n3:domaciTvurceVysledku
n9:7997698 n9:9287833
n3:druhVysledku
n11:J
n3:duvernostUdaju
n5:S
n3:entitaPredkladatele
n18:predkladatel
n3:idSjednocenehoVysledku
639118
n3:idVysledku
RIV/67985556:_____/02:16020223
n3:jazykVysledku
n13:eng
n3:klicovaSlova
nonparametric density estimation; histogram; piecewise linear histogram
n3:klicoveSlovo
n4:piecewise%20linear%20histogram n4:histogram n4:nonparametric%20density%20estimation
n3:kodStatuVydavatele
FR - Francouzská republika
n3:kontrolniKodProRIV
[50E39827BFE9]
n3:nazevZdroje
Publications de l'Institut de Statistique de l'Universite de Paris
n3:obor
n15:BB
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
3
n3:pocetUcastnikuAkce
0
n3:pocetZahranicnichUcastnikuAkce
0
n3:projekt
n16:GA102%2F99%2F1137
n3:rokUplatneniVysledku
n8:2002
n3:svazekPeriodika
34
n3:tvurceVysledku
Berlinet, A. Vajda, Igor Hobza, Tomáš
n3:zamer
n14:AV0Z1075907
s:issn
0041-9184
s:numberOfPages
17