Bounds on convergence for the empirical vector of the Curie–Weiss–Potts model with a non-zero external field vector

In the present paper we obtain rates of convergence for limit theorems via Stein’s Method of exchangeable pairs in the context of the Curie–Weiss–Potts model and we consider only the case of non-zero external field h∈Rq. Our interest is in the limit distribution of the empirical vector of the spin variables and we obtain bounds for multivariate normal approximation.

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Year of publication:	2014
Authors:	Martschink, Bastian
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 88.2014, C, p. 118-126
Publisher:	Elsevier
Subject:	Stein’s method \| Exchangeable pairs \| Curie–Weiss–Potts models \| Critical temperature \| Non-zero external field

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011040067