Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 2, pp. 341-342
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N. G. Ušakov. On a problem posed by A. Renyi. Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 2, pp. 341-342. http://geodesic.mathdoc.fr/item/TVP_1982_27_2_a13/
@article{TVP_1982_27_2_a13,
author = {N. G. U\v{s}akov},
title = {On a problem posed by {A.~Renyi}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {341--342},
year = {1982},
volume = {27},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1982_27_2_a13/}
}
TY - JOUR
AU - N. G. Ušakov
TI - On a problem posed by A. Renyi
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1982
SP - 341
EP - 342
VL - 27
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1982_27_2_a13/
LA - ru
ID - TVP_1982_27_2_a13
ER -
%0 Journal Article
%A N. G. Ušakov
%T On a problem posed by A. Renyi
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1982
%P 341-342
%V 27
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1982_27_2_a13/
%G ru
%F TVP_1982_27_2_a13
We construct a class $\mathscr B$ of distributions of integer valued random variables such that if $\mathbf P\in\mathscr B$ then $P^{\ast n}$ for every $n=1,2,\dots$ is not unimodal. This result provides a negative answer to a question raised by A. Renyi.
