This HTML5 document contains 41 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dctermshttp://purl.org/dc/terms/
n9http://localhost/temp/predkladatel/
n10http://linked.opendata.cz/resource/domain/vavai/projekt/
n6http://linked.opendata.cz/resource/domain/vavai/riv/tvurce/
n11http://linked.opendata.cz/ontology/domain/vavai/
shttp://schema.org/
n4http://linked.opendata.cz/ontology/domain/vavai/riv/
skoshttp://www.w3.org/2004/02/skos/core#
n14http://bibframe.org/vocab/
n2http://linked.opendata.cz/resource/domain/vavai/vysledek/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
n7http://linked.opendata.cz/resource/domain/vavai/vysledek/RIV%2F00216208%3A11320%2F14%3A10283277%21RIV15-MSM-11320___/
n13http://linked.opendata.cz/ontology/domain/vavai/riv/klicoveSlovo/
n19http://linked.opendata.cz/ontology/domain/vavai/riv/duvernostUdaju/
xsdhhttp://www.w3.org/2001/XMLSchema#
n16http://linked.opendata.cz/ontology/domain/vavai/riv/aktivita/
n12http://linked.opendata.cz/ontology/domain/vavai/riv/jazykVysledku/
n17http://linked.opendata.cz/ontology/domain/vavai/riv/obor/
n15http://linked.opendata.cz/ontology/domain/vavai/riv/druhVysledku/
n18http://reference.data.gov.uk/id/gregorian-year/

Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F14%3A10283277%21RIV15-MSM-11320___
rdf:type
skos:Concept n11:Vysledek
dcterms:description
U-statistics of spatial point processes given by a density with respect to a Poisson process are investigated. In the first half of the paper general relations are derived for the moments of the functionals using kernels from the Wiener-It^o chaos expansion. In the second half we obtain more explicit results for a system of U-statistics of some parametric models in stochastic geometry. In the logarithmic form functionals are connected to Gibbs models. There is an inequality between moments of Poisson and non-Poisson functionals in this case, and we have a version of the central limit theorem in the Poisson case. U-statistics of spatial point processes given by a density with respect to a Poisson process are investigated. In the first half of the paper general relations are derived for the moments of the functionals using kernels from the Wiener-It^o chaos expansion. In the second half we obtain more explicit results for a system of U-statistics of some parametric models in stochastic geometry. In the logarithmic form functionals are connected to Gibbs models. There is an inequality between moments of Poisson and non-Poisson functionals in this case, and we have a version of the central limit theorem in the Poisson case.
dcterms:title
Functionals of spatial point processes having a density with respect to the Poisson process Functionals of spatial point processes having a density with respect to the Poisson process
skos:prefLabel
Functionals of spatial point processes having a density with respect to the Poisson process Functionals of spatial point processes having a density with respect to the Poisson process
skos:notation
RIV/00216208:11320/14:10283277!RIV15-MSM-11320___
n4:aktivita
n16:I n16:P
n4:aktivity
I, P(GAP201/10/0472)
n4:cisloPeriodika
6
n4:dodaniDat
n18:2015
n4:domaciTvurceVysledku
n6:4355598
n4:druhVysledku
n15:J
n4:duvernostUdaju
n19:S
n4:entitaPredkladatele
n7:predkladatel
n4:idSjednocenehoVysledku
17684
n4:idVysledku
RIV/00216208:11320/14:10283277
n4:jazykVysledku
n12:eng
n4:klicovaSlova
U-statistic; moments; limit theorem; difference of a functional
n4:klicoveSlovo
n13:limit%20theorem n13:moments n13:U-statistic n13:difference%20of%20a%20functional
n4:kodStatuVydavatele
CZ - Česká republika
n4:kontrolniKodProRIV
[1EE48C031C10]
n4:nazevZdroje
Kybernetika
n4:obor
n17:BA
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
2
n4:projekt
n10:GAP201%2F10%2F0472
n4:rokUplatneniVysledku
n18:2014
n4:svazekPeriodika
50
n4:tvurceVysledku
Zikmundová, Markéta Beneš, Viktor
s:issn
0023-5954
s:numberOfPages
18
n14:doi
10.14736/kyb-2014-6-0896
n9:organizacniJednotka
11320