Quadratic transportation cost in the conditional central limit theorem for dependent sequences
Probability
2022-12-09 v1
Abstract
In this paper, we give estimates of the quadratic transportation cost in the conditional central limit theorem for a large class of dependent sequences. Applications to irreducible Markov chains, dynamical systems generated by intermittent maps and -mixing sequences are given.
Cite
@article{arxiv.2212.04287,
title = {Quadratic transportation cost in the conditional central limit theorem for dependent sequences},
author = {Jérôme Dedecker and Florence Merlevède and Emmanuel Rio},
journal= {arXiv preprint arXiv:2212.04287},
year = {2022}
}