This article is cited in 1 paper

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

A. N. Nazarova

M. V. Lomonosov Moscow State University

Abstract: In the paper the sums of linear random fields defined on $\mathbb Z^d$ for any $d\geqslant1$ 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.

UDC: 519.214

Received: 01.06.2000

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