A cram\'er type moderate deviation theorem for the critical curie-weiss model
Probability
2017-10-31 v2 Mathematical Physics
math.MP
Abstract
In this paper we study the moderate deviations for the magnetization of critical Curie-Weiss model. Chen, Fang and Shao considered a similar problem for non-critical model by using Stein method. By direct and simple arguments based on Laplace method, we provide an explicit formula of the error and deduce a Cram\'er-type result.
Cite
@article{arxiv.1709.04267,
title = {A cram\'er type moderate deviation theorem for the critical curie-weiss model},
author = {Van Hao Can and Viet-Hung Pham},
journal= {arXiv preprint arXiv:1709.04267},
year = {2017}
}
Comments
12 pages, accepted for publication in Electronic Communication in Probability