Abstract
The aim of this paper is to derive consequences of a result of Gotze and Zaitsev (2008). We show that the i.i.d. case of this result implies a multidimensional version of some results of Sakhanenko (1985). We establish bounds for the rate of strong Gaussian approximation of sums of i.i.d. R d -valued random vectors ξ j having finite moments E IIξ j IIγ, γ>2. Bibliography: 13 titles.
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