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2017 A Cramér type moderate deviation theorem for the critical Curie-Weiss model
Van Hao Can, Viet-Hung Pham
Electron. Commun. Probab. 22: 1-12 (2017). DOI: 10.1214/17-ECP96

Abstract

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.

Citation

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Van Hao Can. Viet-Hung Pham. "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

Information

Received: 26 June 2017; Accepted: 27 October 2017; Published: 2017
First available in Project Euclid: 15 November 2017

zbMATH: 06827044
Digital Object Identifier: 10.1214/17-ECP96

Subjects:
Primary: 60F10, 82B20

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