Matematičeskie zametki, Tome 23 (1978) no. 5, pp. 725-732
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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/
@article{MZM_1978_23_5_a8,
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},
year = {1978},
volume = {23},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_5_a8/}
}
TY - JOUR
AU - L. A. Zolotukhina
AU - V. N. Chugueva
TI - Sufficient conditions for asymptotic normality of sums of values of discrete random fields, dependent in strips
JO - Matematičeskie zametki
PY - 1978
SP - 725
EP - 732
VL - 23
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1978_23_5_a8/
LA - ru
ID - MZM_1978_23_5_a8
ER -
%0 Journal Article
%A L. A. Zolotukhina
%A V. N. Chugueva
%T Sufficient conditions for asymptotic normality of sums of values of discrete random fields, dependent in strips
%J Matematičeskie zametki
%D 1978
%P 725-732
%V 23
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1978_23_5_a8/
%G ru
%F MZM_1978_23_5_a8
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.
