%0 Journal Article
%T A functional central limit theorem for integrals of stationary mixing random fields
%A Jščrgen Kampf
%A Evgeny Spodarev
%J Mathematics
%D 2015
%I arXiv
%X We prove a functional central limit theorem for integrals $\int_W f(X(t))\, dt$, where $(X(t))_{t\in\mathbb{R}^d}$ is a stationary mixing random field and the stochastic process is indexed by the function $f$, as the integration domain $W$ grows in Van Hove-sense. We discuss properties of the covariance function of the asymptotic Gaussian process.
%U http://arxiv.org/abs/1512.03663v1