Non-central limit theorems for functionals of random fields on hypersurfaces
Probability
2018-10-23 v1 Statistics Theory
Statistics Theory
Abstract
This paper derives non-central asymptotic results for non-linear integral functionals of homogeneous isotropic Gaussian random fields defined on hypersurfaces in . 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.
Cite
@article{arxiv.1810.09285,
title = {Non-central limit theorems for functionals of random fields on hypersurfaces},
author = {Andriy Olenko and Volodymyr Vaskovych},
journal= {arXiv preprint arXiv:1810.09285},
year = {2018}
}
Comments
35 pages. arXiv admin note: text overlap with arXiv:1703.05900