FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1997, VOLUME 3, NUMBER 4, PAGES 1101-1108
Yu. Yu. Bakhtin
A. V. Bulinski
Abstract
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Upper estimates of absolute moments are established,
in case of a centered random field on a lattice
$\mathbf{Z}^d$ ($d\ge 1$ ),
for sums over finite sets of arbitrary
configuration. The dependence condition is given
in a form of inequalities for covariances of
certain powers of the initial random variables.
It is shown that this condition can be
deduced, under moment conditions on summands,
from the usual mixing conditions for the field
as well as from assumption that the field is
either positively or negatively dependent.
All articles are published in Russian.
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