Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 4, pp. 742-745
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I. V. Ostrovskii. The multidimensional analog of Yu. V. Linnik's theorem on decompositions of a composition of Gaussian and Poisson laws. Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 4, pp. 742-745. http://geodesic.mathdoc.fr/item/TVP_1965_10_4_a11/
@article{TVP_1965_10_4_a11,
author = {I. V. Ostrovskii},
title = {The multidimensional analog of {Yu.} {V.~Linnik's} theorem on decompositions of a~composition of {Gaussian} and {Poisson} laws},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {742--745},
year = {1965},
volume = {10},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1965_10_4_a11/}
}
TY - JOUR
AU - I. V. Ostrovskii
TI - The multidimensional analog of Yu. V. Linnik's theorem on decompositions of a composition of Gaussian and Poisson laws
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1965
SP - 742
EP - 745
VL - 10
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1965_10_4_a11/
LA - ru
ID - TVP_1965_10_4_a11
ER -
%0 Journal Article
%A I. V. Ostrovskii
%T The multidimensional analog of Yu. V. Linnik's theorem on decompositions of a composition of Gaussian and Poisson laws
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1965
%P 742-745
%V 10
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1965_10_4_a11/
%G ru
%F TVP_1965_10_4_a11
If the sum of two independent $n$-dimensional random vectors is distributed according to the law which is a composition of $n$-dimensional Gaussian and $n$-dimensional Poisson laws then each of these vectors is distributed according to the law which is a composition of $n$-dimensional Gaussian and $n$-dimensional Poisson laws.