Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 3, pp. 596-609
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A. L. Rukhin. Invariant statistics and characterizations of probability distributions. Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 3, pp. 596-609. http://geodesic.mathdoc.fr/item/TVP_1975_20_3_a8/
@article{TVP_1975_20_3_a8,
author = {A. L. Rukhin},
title = {Invariant statistics and characterizations of probability distributions},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {596--609},
year = {1975},
volume = {20},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1975_20_3_a8/}
}
TY - JOUR
AU - A. L. Rukhin
TI - Invariant statistics and characterizations of probability distributions
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1975
SP - 596
EP - 609
VL - 20
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1975_20_3_a8/
LA - ru
ID - TVP_1975_20_3_a8
ER -
%0 Journal Article
%A A. L. Rukhin
%T Invariant statistics and characterizations of probability distributions
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1975
%P 596-609
%V 20
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1975_20_3_a8/
%G ru
%F TVP_1975_20_3_a8
The problem of a characterization of a family of probability measures with group parameter by the distribution of the maximal invariant is considered. For compact groups and plane movements groups, simple sufficient conditions for such a characterization are given.
