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Kybernetika 30 no. 1, 77-86, 1994

The central limit theorem for random fields

Martin Janžura

Abstract:

The appropriate version of the central limit theorem for random fields derived from the Gibbs distributions is proved. The approach is based on a general Rosenblatt's theorem which is shown to be well suited to the case of Gibbs underlying distributions, whenever Dobrushin's uniqueness condition is satisfied.

Classification:

60G60, 60F05