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This article is cited in 1 scientific paper (total in 1 paper)
Sufficient conditions for asymptotic normality of sums of values of discrete random fields, dependent in strips
L. A. Zolotukhina, V. N. Chugueva Leningrad Section of the V. A. Steklov Mathematics Institute, Academy of Sciences of the USSR
Abstract:
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.
Received: 30.12.1975
Citation:
L. A. Zolotukhina, V. N. Chugueva, “Sufficient conditions for asymptotic normality of sums of values of discrete random fields, dependent in strips”, Mat. Zametki, 23:5 (1978), 725–732; Math. Notes, 23:5 (1978), 400–403
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https://www.mathnet.ru/eng/mzm10001 https://www.mathnet.ru/eng/mzm/v23/i5/p725
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Abstract page: | 134 | Full-text PDF : | 57 | First page: | 1 |
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