Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 4, pp. 772-777
Citer cet article
I. V. Ostrovskiǐ. On the divisors of infinitely divisible distributions admitting a Cartesian product representation. Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 4, pp. 772-777. http://geodesic.mathdoc.fr/item/TVP_1982_27_4_a11/
@article{TVP_1982_27_4_a11,
author = {I. V. Ostrovskiǐ},
title = {On the divisors of infinitely divisible distributions admitting {a~Cartesian} product representation},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {772--777},
year = {1982},
volume = {27},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1982_27_4_a11/}
}
TY - JOUR
AU - I. V. Ostrovskiǐ
TI - On the divisors of infinitely divisible distributions admitting a Cartesian product representation
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1982
SP - 772
EP - 777
VL - 27
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1982_27_4_a11/
LA - ru
ID - TVP_1982_27_4_a11
ER -
%0 Journal Article
%A I. V. Ostrovskiǐ
%T On the divisors of infinitely divisible distributions admitting a Cartesian product representation
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1982
%P 772-777
%V 27
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1982_27_4_a11/
%G ru
%F TVP_1982_27_4_a11
Let $n$-dimensional ($n\ge 2$) infinitely divisible distribution $P$ admits a representation in the form of Cartesian product of one-dimensional distributions. Let $P$ be also a convolution of two $n$-dimensional distributions $Q$ and $S$. We study the conditions under which the distributions $Q$ and $S$ must be the Cartesian products too.
