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
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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.
@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},
publisher = {mathdoc},
volume = {72},
year = {1977},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_72_a14/}
}
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/