The central limit theorem for a~certain class of random fields
Matematičeskie zametki, Tome 14 (1973) no. 4, pp. 549-558.

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The asymptotic normal distribution of a sum of dependent random functions of $m$ variables defined on the positive part of the integral lattice is established by the method of moments.
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     title = {The central limit theorem for a~certain class of random fields},
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L. A. Zolotuhina; V. N. Chugueva. The central limit theorem for a~certain class of random fields. Matematičeskie zametki, Tome 14 (1973) no. 4, pp. 549-558. http://geodesic.mathdoc.fr/item/MZM_1973_14_4_a12/