Teoriâ veroâtnostej i ee primeneniâ, Tome 23 (1978) no. 3, pp. 688-691
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R. Z. Salahytdinov. On the refinement of the remainder term in the central limit theorem. Teoriâ veroâtnostej i ee primeneniâ, Tome 23 (1978) no. 3, pp. 688-691. http://geodesic.mathdoc.fr/item/TVP_1978_23_3_a24/
@article{TVP_1978_23_3_a24,
author = {R. Z. Salahytdinov},
title = {On the refinement of the remainder term in the central limit theorem},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {688--691},
year = {1978},
volume = {23},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1978_23_3_a24/}
}
TY - JOUR
AU - R. Z. Salahytdinov
TI - On the refinement of the remainder term in the central limit theorem
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1978
SP - 688
EP - 691
VL - 23
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1978_23_3_a24/
LA - ru
ID - TVP_1978_23_3_a24
ER -
%0 Journal Article
%A R. Z. Salahytdinov
%T On the refinement of the remainder term in the central limit theorem
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1978
%P 688-691
%V 23
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1978_23_3_a24/
%G ru
%F TVP_1978_23_3_a24
Some new estimates are given for the accuracy of approximation of the distribution functions $F_n$ of normalized sums of independent and identically distributed random variables by the standard normal distribution function $\Phi$. Various metrics are used (uniform, non-uniform with weight $1+x^2$, average metric and average metric with weight $|x|$).
