Teoriâ veroâtnostej i ee primeneniâ, Tome 24 (1979) no. 3, pp. 646-648
Citer cet article
L. B. Klebanov. When has a quadratic statistics a constant regression on the sample mean?. Teoriâ veroâtnostej i ee primeneniâ, Tome 24 (1979) no. 3, pp. 646-648. http://geodesic.mathdoc.fr/item/TVP_1979_24_3_a23/
@article{TVP_1979_24_3_a23,
author = {L. B. Klebanov},
title = {When has a~quadratic statistics a~constant regression on the sample mean?},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {646--648},
year = {1979},
volume = {24},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1979_24_3_a23/}
}
TY - JOUR
AU - L. B. Klebanov
TI - When has a quadratic statistics a constant regression on the sample mean?
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1979
SP - 646
EP - 648
VL - 24
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1979_24_3_a23/
LA - ru
ID - TVP_1979_24_3_a23
ER -
%0 Journal Article
%A L. B. Klebanov
%T When has a quadratic statistics a constant regression on the sample mean?
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1979
%P 646-648
%V 24
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1979_24_3_a23/
%G ru
%F TVP_1979_24_3_a23
Let $x_1,\dots,x_n$ be independent identically distributed non-degenerate random variables with finite second moment. Let $Q$ be a quadratic statistics with real coefficients and $\Lambda=x_1+\dots+x_n$. The condition $\mathbf E(Q\mid\Lambda)=\mathbf EQ$ is studied.
