\Bibitem{Rot77} \by V.~I.~Rotar' \paper Nonclassical estimates of the rate of convergence in the multidimensional central limit theorem.~I \jour Teor. Veroyatnost. i Primenen. \yr 1977 \vol 22 \issue 4 \pages 774--790 \mathnet{http://mi.mathnet.ru/tvp3626} \mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=471033} \zmath{https://zbmath.org/?q=an:0391.60026} \transl \jour Theory Probab. Appl. \yr 1978 \vol 22 \issue 4 \pages 755--772 \crossref{https://doi.org/10.1137/1122088}