Geodesic
Compactness of probability measures and the uniform convergence of certain stochastic series
Matematičeskie zametki, Tome 12 (1972) no. 4, pp. 443-451.

Voir la notice de l'article provenant de la source Math-Net.Ru

We give the conditions which ensure the compactness of the probability measures $\mu_n$, $n\geqslant1$, generated by Gaussian processes the realizations of which are continuous with unit probability in $[0, 1]$. We also give the conditions for the uniform convergence of stochastic series of the form $\sum_{k=1}^\infty\xi_k(t)$, where the $\xi_k(t)$ are independent Gaussian processes the realizations of which are continuous with unit probability in $[0, 1]$. 
@article{MZM_1972_12_4_a11,
     author = {V. V. Buldygin},
     title = {Compactness of probability measures and the uniform convergence of certain stochastic series},
     journal = {Matemati\v{c}eskie zametki},
     pages = {443--451},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a11/}
}
TY  - JOUR
AU  - V. V. Buldygin
TI  - Compactness of probability measures and the uniform convergence of certain stochastic series
JO  - Matematičeskie zametki
PY  - 1972
SP  - 443
EP  - 451
VL  - 12
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a11/
LA  - ru
ID  - MZM_1972_12_4_a11
ER  - 
%0 Journal Article
%A V. V. Buldygin
%T Compactness of probability measures and the uniform convergence of certain stochastic series
%J Matematičeskie zametki
%D 1972
%P 443-451
%V 12
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a11/
%G ru
%F MZM_1972_12_4_a11
V. V. Buldygin. Compactness of probability measures and the uniform convergence of certain stochastic series. Matematičeskie zametki, Tome 12 (1972) no. 4, pp. 443-451. http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a11/