Matematičeskie zametki, Tome 13 (1973) no. 6, pp. 889-892
Citer cet article
L. B. Klebanov. Reconstituting the distribution of the components of a random Vector from distributions of certain statistics. Matematičeskie zametki, Tome 13 (1973) no. 6, pp. 889-892. http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a10/
@article{MZM_1973_13_6_a10,
author = {L. B. Klebanov},
title = {Reconstituting the distribution of the components of a~random {Vector} from distributions of certain statistics},
journal = {Matemati\v{c}eskie zametki},
pages = {889--892},
year = {1973},
volume = {13},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a10/}
}
TY - JOUR
AU - L. B. Klebanov
TI - Reconstituting the distribution of the components of a random Vector from distributions of certain statistics
JO - Matematičeskie zametki
PY - 1973
SP - 889
EP - 892
VL - 13
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a10/
LA - ru
ID - MZM_1973_13_6_a10
ER -
%0 Journal Article
%A L. B. Klebanov
%T Reconstituting the distribution of the components of a random Vector from distributions of certain statistics
%J Matematičeskie zametki
%D 1973
%P 889-892
%V 13
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a10/
%G ru
%F MZM_1973_13_6_a10
Let $(X_1,\dots,X_n)$ be a random vector with independent components. It is proven in this paper that, under certain restrictions, the distributions of the pair $S_1=\sup(a_1X_1,\dots,a_nX_n)$ and $S_2=\sup(b_1X_1,\dots,b_nX_n)$ univocally define the distribution function of the components $X_j$.
