FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2002, VOLUME 8, NUMBER 4, PAGES 1091-1098

**Logarithmic velocity of convergence in CLT for stochastic linear
processes and fields in a Hilbert space**

A. N. Nazarova

Abstract

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In the paper the sums of linear random fields defined on $$**Z**^{d} for
any $d\; \ge \; 1$
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