Approaches to asymptotics for U-statistics of Gibbs facet processes

Jakub Večeřa and Viktor Beneš

Statistics & Probability Letters, 2017, vol. 122, issue C, 51-57

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 its investigation. Finally the general situation is studied and the asymptotics with increasing intensity is described.

Keywords: Central limit theorem; Gibbs facet process; U-statistics (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2016.10.024

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