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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∈ 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.

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Document Type:Article
Author:Bastian Martschink
Parent Title (English):Statistics & Probability Letters
First Page:118
Last Page:126
Date of first publication:2014/02/14
Supported by the BMBF, Förderkennzeichen 01 PL 11067.
Tag:Critical temperature; Curie–Weiss–Potts models; Exchangeable pairs; Non-zero external field; Stein’s method
Departments, institutes and facilities:Fachbereich Elektrotechnik, Maschinenbau, Technikjournalismus
Dewey Decimal Classification (DDC):5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Entry in this database:2015/04/02