Geodesic
On inequalities for random vectors
Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 3, pp. 585-589

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We obtain a more precise infinite dimensional version of S. N. Bernštein's unequalities and estimates of the rate of convergence in the central limit theorem for multinomial distributions. 
@article{TVP_1977_22_3_a12,
     author = {N. {\CYRK}. Arenbaev},
     title = {On inequalities for random vectors},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {585--589},
     publisher = {mathdoc},
     volume = {22},
     number = {3},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_3_a12/}
}
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N. К. Arenbaev. On inequalities for random vectors. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 3, pp. 585-589. http://geodesic.mathdoc.fr/item/TVP_1977_22_3_a12/