Limit theorems for additive functionals of stationary fields, under integrability assumptions on the higher order spectral densities
Probability
2012-02-15 v1
Abstract
We prove central limit theorems for additive functionals of stationary fields under integrability conditions on the higher-order spectral densities, which are derived using the Holder-Young-Brascamp-Lieb inequality.
Keywords
Cite
@article{arxiv.1202.3041,
title = {Limit theorems for additive functionals of stationary fields, under integrability assumptions on the higher order spectral densities},
author = {Florin Avram and Nikolai Leonenko and Ludmila Sakhno},
journal= {arXiv preprint arXiv:1202.3041},
year = {2012}
}