Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 4, pp. 812-815
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A. A. Borovkov; A. I. Sakhanenko. Remarks on convergence of random processes in non-separable metric spaces and on the non-existence of a Borel measure for processes in $C(0,\infty)$. Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 4, pp. 812-815. http://geodesic.mathdoc.fr/item/TVP_1973_18_4_a10/
@article{TVP_1973_18_4_a10,
author = {A. A. Borovkov and A. I. Sakhanenko},
title = {Remarks on convergence of random processes in non-separable metric spaces and on the non-existence of a {Borel} measure for processes in~$C(0,\infty)$},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {812--815},
year = {1973},
volume = {18},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1973_18_4_a10/}
}
TY - JOUR
AU - A. A. Borovkov
AU - A. I. Sakhanenko
TI - Remarks on convergence of random processes in non-separable metric spaces and on the non-existence of a Borel measure for processes in $C(0,\infty)$
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1973
SP - 812
EP - 815
VL - 18
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1973_18_4_a10/
LA - ru
ID - TVP_1973_18_4_a10
ER -
%0 Journal Article
%A A. A. Borovkov
%A A. I. Sakhanenko
%T Remarks on convergence of random processes in non-separable metric spaces and on the non-existence of a Borel measure for processes in $C(0,\infty)$
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1973
%P 812-815
%V 18
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1973_18_4_a10/
%G ru
%F TVP_1973_18_4_a10
Let a random element $\xi$ and random elements $\xi_n$ take values in a metric space $X$. Let $f$ be a measure and continuous functional on $X$. We discuss pecularities connected with convergence of the distributions of $f(\xi_n)$ to the distribution of $f(\xi)$ when the space $X$ is a non-separable one.
