Approaches to asymptotics for U-statistics of Gibbs facet processes
Probability
2016-08-03 v2
Abstract
It is shown how the central limit theorem for U-statistics of spatial Poisson point processes can help to derive the central limit theorem for U-statistics of a Gibbs facet process from stochastic geometry. A full-dimensional submodel enables a simpler approach to the investigation. Finally the general situation is studied and the asymptotics with increasing intensity is described.
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Cite
@article{arxiv.1510.00531,
title = {Approaches to asymptotics for U-statistics of Gibbs facet processes},
author = {Jakub Vecera and Viktor Benes},
journal= {arXiv preprint arXiv:1510.00531},
year = {2016}
}
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11 pages