Central limit theorem for Gibbsian U-statistics of facet processes

Abstrakt

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.

Klíčová slova

• central limit theorem
• facet process
• U-statistics