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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. (en)
Title
  • Generalized piecewise linear histograms.
  • Generalized piecewise linear histograms. (en)
skos:prefLabel
  • Generalized piecewise linear histograms.
  • Generalized piecewise linear histograms. (en)
skos:notation
  • RIV/67985556:_____/02:16020200!RIV/2003/GA0/A16003/N
http://linked.open.../vavai/riv/strany
  • 301;313
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA102/99/1137), Z(AV0Z1075907), Z(MSM 210000010)
http://linked.open...iv/cisloPeriodika
  • 3
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 681018
http://linked.open...ai/riv/idVysledku
  • RIV/67985556:_____/02:16020200
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • nonparametric density estimation; densitogram; mean integrated absolute error (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [0CA973341B05]
http://linked.open...i/riv/nazevZdroje
  • Statistica Neerlandica
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...ocetUcastnikuAkce
http://linked.open...nichUcastnikuAkce
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 56
http://linked.open...iv/tvurceVysledku
  • Hobza, Tomáš
  • Vajda, Igor
  • Berlinet, A.
http://linked.open...n/vavai/riv/zamer
issn
  • 0039-0402
number of pages
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