Generalized Ising models and their applications

Autor:	S. Rabe, K. V. Mardia
Rok vydání:	1994
Předmět:	Statistics and Probability Combinatorics Normalizing constant Spin model Binary number Inference Square-lattice Ising model Ising model Statistical physics Statistics Probability and Uncertainty Image (mathematics) Spin-½ Mathematics
Zdroj:	Journal of Applied Statistics. 21:479-494
ISSN:	1360-0532 0266-4763
DOI:	10.1080/757584022
Popis:	The Ising model has become more prominent in spatial statistics since its applications in image analysis, as pioneered by Besag. This paper describes three multilevel generalizations of the Ising model, including the general spin Ising model. We compare and contrast these three generalizations. In all three cases, the normalizing constant is intractable but, using the developments made by physicists, we give adequate approximations for the general spin model, together with complete expressions for the binary Ising model. We show that these approximations allow inference for the general spin model. An application to texture analysis is also given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c7adf03877b1a0bfa2c3c89031b24a40 https://doi.org/10.1080/757584022 Zobrazit plný text záznamu