Geodesic
A nonuniform estimate for the error in short asymptotic expansions in Hilbert space
Teoriâ veroâtnostej i ee primeneniâ, Tome 47 (2002) no. 4, pp. 769-772 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

This work considers short asymptotic expansions of the probability for a sum of independent random elements to hit a ball in Hilbert space. An estimate for the error of the decomposition which is optimal with respect to a number of summands and depending only on at most 12 eigenvalues of the covariance operator of a summand is obtained. The error decreases if the distance between the bound of the ball and the zero element increases.
Keywords: short asymptotic expansions, Hilbert space, nonuniform estimate. 
@article{TVP_2002_47_4_a8,
     author = {S. A. Bogatyrev},
     title = {A nonuniform estimate for the error in short asymptotic expansions in {Hilbert} space},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {769--772},
     year = {2002},
     volume = {47},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2002_47_4_a8/}
}
TY  - JOUR
AU  - S. A. Bogatyrev
TI  - A nonuniform estimate for the error in short asymptotic expansions in Hilbert space
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 2002
SP  - 769
EP  - 772
VL  - 47
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/TVP_2002_47_4_a8/
LA  - ru
ID  - TVP_2002_47_4_a8
ER  - 
%0 Journal Article
%A S. A. Bogatyrev
%T A nonuniform estimate for the error in short asymptotic expansions in Hilbert space
%J Teoriâ veroâtnostej i ee primeneniâ
%D 2002
%P 769-772
%V 47
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_2002_47_4_a8/
%G ru
%F TVP_2002_47_4_a8
S. A. Bogatyrev. A nonuniform estimate for the error in short asymptotic expansions in Hilbert space. Teoriâ veroâtnostej i ee primeneniâ, Tome 47 (2002) no. 4, pp. 769-772. http://geodesic.mathdoc.fr/item/TVP_2002_47_4_a8/