Approaches to asymptotics for U-statistics of Gibbs facet processes

Jakub Vecera; Viktor Benes

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arXiv · 1510.00531

Approaches to asymptotics for U-statistics of Gibbs facet processes

Jakub Vecera·Viktor Benes

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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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Jakub Vecera, Viktor Benes. 2015-10-02. Approaches to asymptotics for U-statistics of Gibbs facet processes. https://arxiv.org/abs/1510.00531

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