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Functional central limit theorem for the volume of excursion sets generated by associated random fields
Authors:D Meschenmoser  A Shashkin
Institution:
  • a Institute of Stochastics, Ulm University, 89069 Ulm, Germany
  • b Faculty of Mathematics and Mechanics, Moscow State University, Moscow 119991, Russia
  • Abstract:We prove a functional central limit theorem for the volume of the excursion sets generated by a stationary and associated random field with smooth realizations.
    Keywords:60F17  60G60
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