Teoriâ veroâtnostej i ee primeneniâ, Tome 16 (1971) no. 4, pp. 753-755
Citer cet article
L. B. Klebanov. A remark on independence of a tubular statistic and the sample mean. Teoriâ veroâtnostej i ee primeneniâ, Tome 16 (1971) no. 4, pp. 753-755. http://geodesic.mathdoc.fr/item/TVP_1971_16_4_a19/
@article{TVP_1971_16_4_a19,
author = {L. B. Klebanov},
title = {A~remark on independence of a~tubular statistic and the sample mean},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {753--755},
year = {1971},
volume = {16},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1971_16_4_a19/}
}
TY - JOUR
AU - L. B. Klebanov
TI - A remark on independence of a tubular statistic and the sample mean
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1971
SP - 753
EP - 755
VL - 16
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1971_16_4_a19/
LA - ru
ID - TVP_1971_16_4_a19
ER -
%0 Journal Article
%A L. B. Klebanov
%T A remark on independence of a tubular statistic and the sample mean
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1971
%P 753-755
%V 16
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1971_16_4_a19/
%G ru
%F TVP_1971_16_4_a19
Given a sample of size $n$ from a distribution with density $y(x)$, we show that if a definite $n-1$-dimensional tubular statistic (i.e. a continuous function on $R^n$ reduceable by an orthogonal transformation to a function on $R^{n-1}$ vanishing only at the origin) and the sample mean are independent then $y(x)$ is normal.
