Teoriâ veroâtnostej i ee primeneniâ, Tome 9 (1964) no. 2, pp. 273-282
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K. R. Parthasarathy. Central Limit Theorem for the Rotation Group. Teoriâ veroâtnostej i ee primeneniâ, Tome 9 (1964) no. 2, pp. 273-282. http://geodesic.mathdoc.fr/item/TVP_1964_9_2_a5/
@article{TVP_1964_9_2_a5,
author = {K. R. Parthasarathy},
title = {Central {Limit} {Theorem} for the {Rotation} {Group}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {273--282},
year = {1964},
volume = {9},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TVP_1964_9_2_a5/}
}
TY - JOUR
AU - K. R. Parthasarathy
TI - Central Limit Theorem for the Rotation Group
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1964
SP - 273
EP - 282
VL - 9
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1964_9_2_a5/
LA - en
ID - TVP_1964_9_2_a5
ER -
%0 Journal Article
%A K. R. Parthasarathy
%T Central Limit Theorem for the Rotation Group
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1964
%P 273-282
%V 9
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1964_9_2_a5/
%G en
%F TVP_1964_9_2_a5
The paper gives necessary and sufficient conditions in order that a sequence of distributions $\mu_n^*$ in an $n$-dimensional group liave a Gaussian limit. These conditions are analogous to the Lindeberg-Levy conditions on a line.