A cram\'er type moderate deviation theorem for the critical curie-weiss model

Van Hao Can; Viet-Hung Pham

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arXiv · 1709.04267

A cram\'er type moderate deviation theorem for the critical curie-weiss model

Van Hao Can·Viet-Hung Pham

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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.

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Van Hao Can, Viet-Hung Pham. 2017-09-13. A cram\'er type moderate deviation theorem for the critical curie-weiss model. https://arxiv.org/abs/1709.04267

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