Zapiski Nauchnykh Seminarov POMI, Investigations in the theory of probability distributions. Part IV, Tome 85 (1979), pp. 113-128
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N. N. Ljashenko. On limit theorems for sums of independent compact random subsets of Euclidean space. Zapiski Nauchnykh Seminarov POMI, Investigations in the theory of probability distributions. Part IV, Tome 85 (1979), pp. 113-128. http://geodesic.mathdoc.fr/item/ZNSL_1979_85_a8/
@article{ZNSL_1979_85_a8,
author = {N. N. Ljashenko},
title = {On limit theorems for sums of independent compact random subsets of {Euclidean} space},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {113--128},
year = {1979},
volume = {85},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_85_a8/}
}
TY - JOUR
AU - N. N. Ljashenko
TI - On limit theorems for sums of independent compact random subsets of Euclidean space
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1979
SP - 113
EP - 128
VL - 85
UR - http://geodesic.mathdoc.fr/item/ZNSL_1979_85_a8/
LA - ru
ID - ZNSL_1979_85_a8
ER -
%0 Journal Article
%A N. N. Ljashenko
%T On limit theorems for sums of independent compact random subsets of Euclidean space
%J Zapiski Nauchnykh Seminarov POMI
%D 1979
%P 113-128
%V 85
%U http://geodesic.mathdoc.fr/item/ZNSL_1979_85_a8/
%G ru
%F ZNSL_1979_85_a8
In the paper an asymptotical behaviour of normed sums of independent random compacts in $R^m$ is investigated. The article contains different convergence conditions for random set series, analogs of the central limit theorem and the strong law of large numbers.
