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Article

Title: The central limit theorem for random fields (English)
Author: Janžura, Martin
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 30
Issue: 1
Year: 1994
Pages: 77-86
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Category: math
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MSC: 60F05
MSC: 60G60
idZBL: Zbl 0801.60017
idMR: MR1267472
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Date available: 2009-09-24T18:45:02Z
Last updated: 2012-06-06
Stable URL: http://hdl.handle.net/10338.dmlcz/124504
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Reference: [1] J. Besag: On the statistical analysis of dirty pictures.J. Roy. Statist. Soc. B 48 (1986), 3, 259-302. Zbl 0609.62150, MR 0876840
Reference: [2] P. Billingsley: Convergence of Probability Measures.Wiley, New York 1968. Zbl 0172.21201, MR 0233396
Reference: [3] R. L. Dobrushin, B. Tirozzi: The central limit theorem and the problem of equivalence of ensembles.Commun. Math. Phys. 54 (1977), 174-192. Zbl 0391.60095, MR 0445641
Reference: [4] H. Föllmer: On the global Markov property.In: Quantum Fields--Algebras Processes (L. Streit, ed.) Springer, Wien 1980. MR 0601817
Reference: [5] H. Künsch: Decay of correlations under Dobrushin's uniqueness condition and its applications.Commun. Math. Phys. 84 (1982), 207-222. Zbl 0495.60097, MR 0661133
Reference: [6] B. S. Nahapetian: Limit theorems and statistical mechanics.In: Random Fields (J. Fritz, J. I. Lebowitz, D. Szasz, eds.), Colloquia mathematica societatis Janos Bolyai, 27 (1981), 799-820. Zbl 0487.60082, MR 0712712
Reference: [7] H. Rosenblatt: Central limit theorem for stationary processes.Proc. 6th Berkeley Symposium, Vol. II (1970), 551-561. MR 0402869
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