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