Geodesic
Compactness of probability measures and the uniform convergence of certain stochastic series
Matematičeskie zametki, Tome 12 (1972) no. 4, pp. 443-451 Cet article a éte moissonné depuis la source Math-Net.Ru

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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},
     year = {1972},
     volume = {12},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a11/}
}
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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/