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

被引：1

作者：

Martschink, Bastian ^{[1
]}

机构：

[1] Bonn Rhein Sieg Univ Appl Sci, Dept 03, D-53757 St Augustin, Germany

来源：

STATISTICS & PROBABILITY LETTERS | 2014年 / 88卷

关键词：

Stein's method; Exchangeable pairs; Curie-Weiss-Potts models; Critical temperature; Non-zero external field; EXCHANGEABLE PAIRS; LIMIT-THEOREMS; STEINS METHOD; APPROXIMATION;

D O I：

10.1016/j.spl.2014.01.033

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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 is an element of 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. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：118 / 126

页数：9

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