Geodesic
On conditions for convergence of sums of independent variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 4, pp. 919-924 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The paper is devoted to nonclassical conditions for the weak convergence of distributions of sums of independent random variables to fixed distributions. The proposed conditions for sums convergence are formulated in terms of “closeness” of summands distributions to elements of expansion of a limit distribution in some integral metrics.
Keywords: nonclassical conditions for convergence, integral metrics. 
@article{TVP_1995_40_4_a20,
     author = {A. G. Sholomitskii},
     title = {On conditions for convergence of sums of independent variables},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {919--924},
     year = {1995},
     volume = {40},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1995_40_4_a20/}
}
TY  - JOUR
AU  - A. G. Sholomitskii
TI  - On conditions for convergence of sums of independent variables
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 1995
SP  - 919
EP  - 924
VL  - 40
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/TVP_1995_40_4_a20/
LA  - ru
ID  - TVP_1995_40_4_a20
ER  - 
%0 Journal Article
%A A. G. Sholomitskii
%T On conditions for convergence of sums of independent variables
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1995
%P 919-924
%V 40
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1995_40_4_a20/
%G ru
%F TVP_1995_40_4_a20
A. G. Sholomitskii. On conditions for convergence of sums of independent variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 4, pp. 919-924. http://geodesic.mathdoc.fr/item/TVP_1995_40_4_a20/