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

Abstract

Abstract 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 ∈ R q . Our interest is in the limit distribution of the empirical vector of the spin variables and we obtain bounds for multivariate normal approximation.