Limit theorems for the magnetization of Curie-Weiss model have been studied extensively by Ellis and Newman. To refine these results, Chen, Fang and Shao prove Cramér type moderate deviation theorems for non-critical cases by using Stein method. In this paper, we consider the same question for the remaining case - the critical Curie-Weiss model. By direct and simple arguments based on Laplace method, we provide an explicit formula of the error and deduce a Cramér type result.
"A Cramér type moderate deviation theorem for the critical Curie-Weiss model." Electron. Commun. Probab. 22 1 - 12, 2017. https://doi.org/10.1214/17-ECP96