Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IV, Tome 72 (1977), pp. 154-160
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V. N. Sudakov. Limit distributions of random functionals on a process. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IV, Tome 72 (1977), pp. 154-160. http://geodesic.mathdoc.fr/item/ZNSL_1977_72_a14/
@article{ZNSL_1977_72_a14,
author = {V. N. Sudakov},
title = {Limit distributions of random functionals on a process},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {154--160},
year = {1977},
volume = {72},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_72_a14/}
}
TY - JOUR
AU - V. N. Sudakov
TI - Limit distributions of random functionals on a process
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1977
SP - 154
EP - 160
VL - 72
UR - http://geodesic.mathdoc.fr/item/ZNSL_1977_72_a14/
LA - ru
ID - ZNSL_1977_72_a14
ER -
%0 Journal Article
%A V. N. Sudakov
%T Limit distributions of random functionals on a process
%J Zapiski Nauchnykh Seminarov POMI
%D 1977
%P 154-160
%V 72
%U http://geodesic.mathdoc.fr/item/ZNSL_1977_72_a14/
%G ru
%F ZNSL_1977_72_a14
The article introduces the notion of a limit distribution of random linear functionals on a linear measure space with respect to some spherically invariant measure. It is proved that if the limit distribution exists, it is constant, i.e., a typical distribution of the linear functional exists.