About: Spatio-Temporal Model for a Random Set Given by a Union of Interacting Discs     Goto   Sponge   NotDistinct   Permalink

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Description
  • A spatio-temporal random set parametric model is defined based on the union of interacting discs. There are two types of parameters: those of the spatial part of the model and those of the state space model for temporal evolution. The simulation of the random set is available using a Markov chain Monte Carlo algorithm. Integral-geometric characteristics are evaluated and serve as an input to parameter estimation. We compare an MCMC maximum likelihood estimator with a particle filter estimator in a simulation study by drawing their temporal evolution and globally by means of the integrated mean square error. Interpretations of parameters and possible applications are discussed.
  • A spatio-temporal random set parametric model is defined based on the union of interacting discs. There are two types of parameters: those of the spatial part of the model and those of the state space model for temporal evolution. The simulation of the random set is available using a Markov chain Monte Carlo algorithm. Integral-geometric characteristics are evaluated and serve as an input to parameter estimation. We compare an MCMC maximum likelihood estimator with a particle filter estimator in a simulation study by drawing their temporal evolution and globally by means of the integrated mean square error. Interpretations of parameters and possible applications are discussed. (en)
Title
  • Spatio-Temporal Model for a Random Set Given by a Union of Interacting Discs
  • Spatio-Temporal Model for a Random Set Given by a Union of Interacting Discs (en)
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  • Spatio-Temporal Model for a Random Set Given by a Union of Interacting Discs
  • Spatio-Temporal Model for a Random Set Given by a Union of Interacting Discs (en)
skos:notation
  • RIV/00216208:11320/12:10125873!RIV13-GA0-11320___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GAP201/10/0472), V
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
  • 170194
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/12:10125873
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Spatio-temporal random set; Particle filter; Germ-grain model (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [E7B1B2D5B56A]
http://linked.open...i/riv/nazevZdroje
  • Methodology and Computing in Applied Probability
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 14
http://linked.open...iv/tvurceVysledku
  • Beneš, Viktor
  • Helisova, Katerina Stankova
  • Zikmundová, Markéta
http://linked.open...ain/vavai/riv/wos
  • 000307245500026
issn
  • 1387-5841
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s11009-012-9287-6
http://localhost/t...ganizacniJednotka
  • 11320
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