Non-central limit theorems for functionals of random fields on hypersurfaces. (arXiv:1810.09285v1 [math.PR])
This paper derives non-central asymptotic results for non-linear integral
functionals of homogeneous isotropic Gaussian random fields defined on
hypersurfaces in $\mathbb{R}^d$. We obtain the rate of convergence for these
functionals. The results extend recent findings for solid figures. We apply the
obtained results to the case of sojourn measures and demonstrate different
limit situations.查看全文