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Central limit theorem for Gibbsian U-statistics of facet processes

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Abstract

A special case of a Gibbsian facet process on a fixed window with a discrete orientation distribution and with increasing intensity of the underlying Poisson process is studied. All asymptotic joint moments for interaction U-statistics are calculated and the central limit theorem is derived using the method of moments.

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Authors and Affiliations

  1. Department of Probability and Mathematical Statistics, Charles University, Sokolovská 83, 186 75, Praha 8, Czech Republic

    Jakub Večeřa

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  1. Jakub Večeřa
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Correspondence to Jakub Večeřa.

Additional information

This research was supported by grants SVV 260225 of Charles University in Prague and GA ČR 16-03708S of the Czech Science Foundation.

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Večeřa, J. Central limit theorem for Gibbsian U-statistics of facet processes. Appl Math 61, 423–441 (2016). https://doi.org/10.1007/s10492-016-0140-z

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  • DOI: https://doi.org/10.1007/s10492-016-0140-z

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