Functional central limit theorem for the volume of excursion sets generated by associated random fields

D. Meschenmoser (1) , A. Shashkin (2)

1 Universität Ulm - Ulm University [Ulm, Allemagne]
2 Faculty of Mathematics and Mechanics

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.

Mots clés: 60F17; 60G60; Functional central limit theorem; Large deviation principle; Excursion set; Association; Random field

Domaines: Bio-informatique [q-bio.QM]; Bio-Informatique, Biologie Systémique [q-bio.QM]

D. Meschenmoser, A. Shashkin. Functional central limit theorem for the volume of excursion sets generated by associated random fields. Statistics and Probability Letters, 2011, 81 (6), pp.642. ⟨10.1016/j.spl.2011.02.012⟩. ⟨hal-00734955⟩