Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part X, Tome 158 (1987), pp. 122-126
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G. V. Martynova. Random processes generated by independent variables and the strong convergence of functionals. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part X, Tome 158 (1987), pp. 122-126. http://geodesic.mathdoc.fr/item/ZNSL_1987_158_a10/
@article{ZNSL_1987_158_a10,
author = {G. V. Martynova},
title = {Random processes generated by independent variables and the strong convergence of functionals},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {122--126},
year = {1987},
volume = {158},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_158_a10/}
}
TY - JOUR
AU - G. V. Martynova
TI - Random processes generated by independent variables and the strong convergence of functionals
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1987
SP - 122
EP - 126
VL - 158
UR - http://geodesic.mathdoc.fr/item/ZNSL_1987_158_a10/
LA - ru
ID - ZNSL_1987_158_a10
ER -
%0 Journal Article
%A G. V. Martynova
%T Random processes generated by independent variables and the strong convergence of functionals
%J Zapiski Nauchnykh Seminarov POMI
%D 1987
%P 122-126
%V 158
%U http://geodesic.mathdoc.fr/item/ZNSL_1987_158_a10/
%G ru
%F ZNSL_1987_158_a10
In the present paper we get sufficient conditions for the strong convergence of distributions of functionals of a sequence of stochastic processes, linearly generated by independent random variables, in the case when the distributions of these processes converge weakly to a Gaussian measure.