Geodesic
Sufficient conditions for asymptotic normality of sums of values of discrete random fields, dependent in strips
Matematičeskie zametki, Tome 23 (1978) no. 5, pp. 725-732.

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Sufficient conditions are given for the asymptotic normality of a sum of values of a field on a square of the integer lattice in $\mathbf{R}^2$ with the side $n\to\infty$ for normalization by the quantity $(2n+1)^{3/2}$. Moreover, the values of the field are dependent on strips of fixed width. The method of moments is used for proof. 
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     author = {L. A. Zolotukhina and V. N. Chugueva},
     title = {Sufficient conditions for asymptotic normality of sums of values of discrete random fields, dependent in strips},
     journal = {Matemati\v{c}eskie zametki},
     pages = {725--732},
     publisher = {mathdoc},
     volume = {23},
     number = {5},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_5_a8/}
}
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L. A. Zolotukhina; V. N. Chugueva. Sufficient conditions for asymptotic normality of sums of values of discrete random fields, dependent in strips. Matematičeskie zametki, Tome 23 (1978) no. 5, pp. 725-732. http://geodesic.mathdoc.fr/item/MZM_1978_23_5_a8/