Functionals of spatial point processes having a density with respect to the Poisson process

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10283277" target="_blank" >RIV/00216208:11320/14:10283277 - isvavai.cz</a>
Alternative codes found
RIV/60461373:22340/14:43897642
Result on the web
<a href="http://dx.doi.org/10.14736/kyb-2014-6-0896" target="_blank" >http://dx.doi.org/10.14736/kyb-2014-6-0896</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14736/kyb-2014-6-0896" target="_blank" >10.14736/kyb-2014-6-0896</a>

Result language
angličtina
Original language name
Functionals of spatial point processes having a density with respect to the Poisson process
Original language 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.
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
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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