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  • The paper deals with random marked sets in which have integer dimension smaller than d. Statistical analysis is developed which involves the random-field model test and estimation of first and second-order characteristics. Special models are presented based on tessellations and solutions of stochastic differential equations (SDE). The simulation of these sets makes use of marking by means of Gaussian random fields. A space-time nature of the model based on SDE is taken into account. Numerical results of the estimation and testing are discussed. Real data analysis from the materials research investigating a grain microstructure with disorientations of faces as marks is presented.
  • The paper deals with random marked sets in which have integer dimension smaller than d. Statistical analysis is developed which involves the random-field model test and estimation of first and second-order characteristics. Special models are presented based on tessellations and solutions of stochastic differential equations (SDE). The simulation of these sets makes use of marking by means of Gaussian random fields. A space-time nature of the model based on SDE is taken into account. Numerical results of the estimation and testing are discussed. Real data analysis from the materials research investigating a grain microstructure with disorientations of faces as marks is presented. (en)
Title
  • On Random Marked Sets with a Smaller Integer Dimension
  • On Random Marked Sets with a Smaller Integer Dimension (en)
skos:prefLabel
  • On Random Marked Sets with a Smaller Integer Dimension
  • On Random Marked Sets with a Smaller Integer Dimension (en)
skos:notation
  • RIV/00216208:11320/14:10283150!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
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  • I, P(GAP201/10/0472)
http://linked.open...iv/cisloPeriodika
  • 2
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  • 34356
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  • RIV/00216208:11320/14:10283150
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  • Tessellation; Random-field model; Marked fibre process (en)
http://linked.open.../riv/klicoveSlovo
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  • US - Spojené státy americké
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  • [20FE3CDCC602]
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  • Methodology and Computing in Applied Probability
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  • 16
http://linked.open...iv/tvurceVysledku
  • Šedivý, Ondřej
  • Beneš, Viktor
  • Staněk, Jakub
issn
  • 1387-5841
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s11009-013-9335-x
http://localhost/t...ganizacniJednotka
  • 11320
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