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Some improvements of convergence rate estimates in the central limit theorem
Teoriâ veroâtnostej i ee primeneniâ, Tome 23 (1978) no. 3, pp. 684-688 Cet article a éte moissonné depuis la source Math-Net.Ru

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Four theorems on the rate of convergence in the central limit theorem are formulated in the paper. Theorems 1 and 2 deal with estimates in the case of independent not necessarily identically distributed real random variables (r. v.), theorem 3 – in the case of independent identically distributed (i. i. d.) $R^k$-valued r. v., theorem 4 – in the case of i. i. d. Hilbert space valued r. v. These theorems improve some known results in [2]–[8]. The proofs will be published elsewhere. 
@article{TVP_1978_23_3_a23,
     author = {V. V. Ul'yanov},
     title = {Some improvements of convergence rate estimates in the central limit theorem},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {684--688},
     year = {1978},
     volume = {23},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1978_23_3_a23/}
}
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V. V. Ul'yanov. Some improvements of convergence rate estimates in the central limit theorem. Teoriâ veroâtnostej i ee primeneniâ, Tome 23 (1978) no. 3, pp. 684-688. http://geodesic.mathdoc.fr/item/TVP_1978_23_3_a23/