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Central limit theorem for Gibbsian U-statistics of facet processes

Published 14 Apr 2015 in math.PR | (1504.03589v2)

Abstract: 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 moments for interaction U-statistics are calculated and using the method of moments the central limit theorem is derived.

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