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 |
. |
Category:
|
math |
. |
MSC:
|
60F05 |
MSC:
|
60G60 |
idZBL:
|
Zbl 0801.60017 |
idMR:
|
MR1267472 |
. |
Date available:
|
2009-09-24T18:45:02Z |
Last updated:
|
2012-06-06 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124504 |
. |
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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