Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 3, pp. 628-634
Citer cet article
Z. G. Gorgadze; Nguen Zuy Tien. Families of Gaussian measures on Orlicz sequence spaces. Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 3, pp. 628-634. http://geodesic.mathdoc.fr/item/TVP_1976_21_3_a14/
@article{TVP_1976_21_3_a14,
author = {Z. G. Gorgadze and Nguen Zuy Tien},
title = {Families of {Gaussian} measures on {Orlicz} sequence spaces},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {628--634},
year = {1976},
volume = {21},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1976_21_3_a14/}
}
TY - JOUR
AU - Z. G. Gorgadze
AU - Nguen Zuy Tien
TI - Families of Gaussian measures on Orlicz sequence spaces
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1976
SP - 628
EP - 634
VL - 21
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1976_21_3_a14/
LA - ru
ID - TVP_1976_21_3_a14
ER -
%0 Journal Article
%A Z. G. Gorgadze
%A Nguen Zuy Tien
%T Families of Gaussian measures on Orlicz sequence spaces
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1976
%P 628-634
%V 21
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1976_21_3_a14/
%G ru
%F TVP_1976_21_3_a14
Necessary and sufficient conditions of weak compactness of a family of Gaussian measures supported by a separable Orlicz sequence space are given. A criterion of convergence for a series of independent Gaussian random elements with values in such spaces is obtained. Analogues of classical limit theorems are proved.
