Spatio-Temporal Model for a Random Set Given by a Union of Interacting Discs

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F12%3A00196847" target="_blank" >RIV/68407700:21230/12:00196847 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/12:10125873
Result on the web
<a href="http://dx.doi.org/10.1007/s11009-012-9287-6" target="_blank" >http://dx.doi.org/10.1007/s11009-012-9287-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11009-012-9287-6" target="_blank" >10.1007/s11009-012-9287-6</a>

Result language
angličtina
Original language name
Spatio-Temporal Model for a Random Set Given by a Union of Interacting Discs
Original language 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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GAP201%2F10%2F0472" target="_blank" >GAP201/10/0472: Stochastic geometry - inhomogeneity, marking, dynamics and stereology</a><br>
Continuities
V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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