Limit Theorems in Mallows Distance for Processes with Gibssian Dependence
Probability
2017-10-11 v2 Mathematical Physics
math.MP
Abstract
In this paper, we explore the connection between convergence in distribution and Mallows distance in the context of positively associated random variables. Our results extend some known invariance principles for sequences with FKG property. Applications for processes with Gibbssian dependence structures are included.
Cite
@article{arxiv.1701.03747,
title = {Limit Theorems in Mallows Distance for Processes with Gibssian Dependence},
author = {L. Cioletti and C. C. Y. Dorea and R. Vila},
journal= {arXiv preprint arXiv:1701.03747},
year = {2017}
}
Comments
17 pages