The central limit theorem for random fields

Martin Janžura

Kybernetika (1994)

  • Volume: 30, Issue: 1, page 77-86
  • ISSN: 0023-5954

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Janžura, Martin. "The central limit theorem for random fields." Kybernetika 30.1 (1994): 77-86. <http://eudml.org/doc/27659>.

@article{Janžura1994,
author = {Janžura, Martin},
journal = {Kybernetika},
keywords = {central limit theorem; random fields; Gibbs distributions; Dobrushin's uniqueness condition},
language = {eng},
number = {1},
pages = {77-86},
publisher = {Institute of Information Theory and Automation AS CR},
title = {The central limit theorem for random fields},
url = {http://eudml.org/doc/27659},
volume = {30},
year = {1994},
}

TY - JOUR
AU - Janžura, Martin
TI - The central limit theorem for random fields
JO - Kybernetika
PY - 1994
PB - Institute of Information Theory and Automation AS CR
VL - 30
IS - 1
SP - 77
EP - 86
LA - eng
KW - central limit theorem; random fields; Gibbs distributions; Dobrushin's uniqueness condition
UR - http://eudml.org/doc/27659
ER -

References

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  1. J. Besag, On the statistical analysis of dirty pictures, J. Roy. Statist. Soc. B 48 (1986), 3, 259-302. (1986) Zbl0609.62150MR0876840
  2. P. Billingsley, Convergence of Probability Measures, Wiley, New York 1968. (1968) Zbl0172.21201MR0233396
  3. R. L. Dobrushin, B. Tirozzi, The central limit theorem and the problem of equivalence of ensembles, Commun. Math. Phys. 54 (1977), 174-192. (1977) Zbl0391.60095MR0445641
  4. H. Föllmer, On the global Markov property, In: Quantum Fields--Algebras Processes (L. Streit, ed.) Springer, Wien 1980. (1980) MR0601817
  5. H. Künsch, Decay of correlations under Dobrushin's uniqueness condition and its applications, Commun. Math. Phys. 84 (1982), 207-222. (1982) Zbl0495.60097MR0661133
  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. (1981) Zbl0487.60082MR0712712
  7. H. Rosenblatt, Central limit theorem for stationary processes, Proc. 6th Berkeley Symposium, Vol. II (1970), 551-561. (1970) MR0402869

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