Matematičeskie zametki, Tome 20 (1976) no. 1, pp. 139-146
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V. A. Romanovich; N. V. Lobaskina. Two characteristic properties of normal distributions in the class $NH$. Matematičeskie zametki, Tome 20 (1976) no. 1, pp. 139-146. http://geodesic.mathdoc.fr/item/MZM_1976_20_1_a14/
@article{MZM_1976_20_1_a14,
author = {V. A. Romanovich and N. V. Lobaskina},
title = {Two characteristic properties of normal distributions in the class~$NH$},
journal = {Matemati\v{c}eskie zametki},
pages = {139--146},
year = {1976},
volume = {20},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_1_a14/}
}
TY - JOUR
AU - V. A. Romanovich
AU - N. V. Lobaskina
TI - Two characteristic properties of normal distributions in the class $NH$
JO - Matematičeskie zametki
PY - 1976
SP - 139
EP - 146
VL - 20
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1976_20_1_a14/
LA - ru
ID - MZM_1976_20_1_a14
ER -
%0 Journal Article
%A V. A. Romanovich
%A N. V. Lobaskina
%T Two characteristic properties of normal distributions in the class $NH$
%J Matematičeskie zametki
%D 1976
%P 139-146
%V 20
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1976_20_1_a14/
%G ru
%F MZM_1976_20_1_a14
In this note are deduced two characterizations of normal distributions in the class $NH$ of probability distributions on a plane whose densities admit diagonal expansions in series of Hermite polynomials and the marginal distributions are standardized and normal.
