Geodesic
Central limit theorem for Gibbsian U-statistics of facet processes
Applications of Mathematics, Tome 61 (2016) no. 4, pp. 423-441

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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.
DOI : 10.1007/s10492-016-0140-z
Classification : 60D05, 60G55
Keywords: central limit theorem; facet process; U-statistics 
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     title = {Central limit theorem for {Gibbsian} {U-statistics} of facet processes},
     journal = {Applications of Mathematics},
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     publisher = {mathdoc},
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Večeřa, Jakub. Central limit theorem for Gibbsian U-statistics of facet processes. Applications of Mathematics, Tome 61 (2016) no. 4, pp. 423-441. doi: 10.1007/s10492-016-0140-z

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