Geodesic
The uniform distribytion on sphere in~$R^s$. I.~Properties of projections
Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 3, pp. 501-516

Voir la notice de l'article provenant de la source Math-Net.Ru

The distribution law of the first $k$ coordinates of a point uniformly distributed over a high dimensional sphere and the distribution law of $k$ independent standard normal variables, as $n\to\infty$ with $k$ fixed, are considered. The main result of this paper is a lower bound on the variational distance. The well-known upper bound due to Diaconis and Freedman has been made more precise.
Mots-clés : variational distance
Keywords: uniform distribution on a sphere. 
@article{TVP_2005_50_3_a4,
     author = {V. I. Khokhlov},
     title = {The uniform distribytion on sphere in~$R^s$. {I.~Properties} of projections},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {501--516},
     publisher = {mathdoc},
     volume = {50},
     number = {3},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2005_50_3_a4/}
}
TY  - JOUR
AU  - V. I. Khokhlov
TI  - The uniform distribytion on sphere in~$R^s$. I.~Properties of projections
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 2005
SP  - 501
EP  - 516
VL  - 50
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TVP_2005_50_3_a4/
LA  - ru
ID  - TVP_2005_50_3_a4
ER  - 
%0 Journal Article
%A V. I. Khokhlov
%T The uniform distribytion on sphere in~$R^s$. I.~Properties of projections
%J Teoriâ veroâtnostej i ee primeneniâ
%D 2005
%P 501-516
%V 50
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TVP_2005_50_3_a4/
%G ru
%F TVP_2005_50_3_a4
V. I. Khokhlov. The uniform distribytion on sphere in~$R^s$. I.~Properties of projections. Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 3, pp. 501-516. http://geodesic.mathdoc.fr/item/TVP_2005_50_3_a4/