FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2002, VOLUME 8, NUMBER 4, PAGES 1091-1098
A. N. Nazarova
Abstract
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In the paper the sums of linear random fields
defined on $\mathbb Z^d$
for any $d \geq 1$ and
taking values in a Hilbert space are studied.
The convergence velocity in CLT for such fields is discussed.
We obtain easily verifiable sufficient conditions for logarithmic
velocity of convergence.
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Last modified: April 10, 2003