Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 4, pp. 755-758
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Ts. G. Khakhubiya. A lemma on random determinants and its applications to characterizing multivariate distributions. Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 4, pp. 755-758. http://geodesic.mathdoc.fr/item/TVP_1965_10_4_a16/
@article{TVP_1965_10_4_a16,
author = {Ts. G. Khakhubiya},
title = {A~lemma on random determinants and its applications to characterizing multivariate distributions},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {755--758},
year = {1965},
volume = {10},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1965_10_4_a16/}
}
TY - JOUR
AU - Ts. G. Khakhubiya
TI - A lemma on random determinants and its applications to characterizing multivariate distributions
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1965
SP - 755
EP - 758
VL - 10
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1965_10_4_a16/
LA - ru
ID - TVP_1965_10_4_a16
ER -
%0 Journal Article
%A Ts. G. Khakhubiya
%T A lemma on random determinants and its applications to characterizing multivariate distributions
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1965
%P 755-758
%V 10
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1965_10_4_a16/
%G ru
%F TVP_1965_10_4_a16
Sufficient conditions for the distribution of the random variables $v_j^{(i)}$ to be determined uniquely given the distribution of the determinant $$ \det\|v_j^{(i)}\| $$ are found. The result is applied to the testing of hypotheses about the type of the distribution on the basis of a sample from a multivariate distribution.
