Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IX, Tome 142 (1985), pp. 124-129
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M. S. Nikulin; A. G. Osidze. Some probabilistic properties of the generalized omega-square statistic. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IX, Tome 142 (1985), pp. 124-129. http://geodesic.mathdoc.fr/item/ZNSL_1985_142_a12/
@article{ZNSL_1985_142_a12,
author = {M. S. Nikulin and A. G. Osidze},
title = {Some probabilistic properties of the generalized omega-square statistic},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {124--129},
year = {1985},
volume = {142},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_142_a12/}
}
TY - JOUR
AU - M. S. Nikulin
AU - A. G. Osidze
TI - Some probabilistic properties of the generalized omega-square statistic
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1985
SP - 124
EP - 129
VL - 142
UR - http://geodesic.mathdoc.fr/item/ZNSL_1985_142_a12/
LA - ru
ID - ZNSL_1985_142_a12
ER -
%0 Journal Article
%A M. S. Nikulin
%A A. G. Osidze
%T Some probabilistic properties of the generalized omega-square statistic
%J Zapiski Nauchnykh Seminarov POMI
%D 1985
%P 124-129
%V 142
%U http://geodesic.mathdoc.fr/item/ZNSL_1985_142_a12/
%G ru
%F ZNSL_1985_142_a12
One considers the properties of the statistic $\Omega_n^2=(\mathbb Y_n-a)^T\mathbb C(\mathbb Y-a)$, where $\mathbb Y_n$ is the vector of the order statistics, constructed with respect to a sample of size $n$ from a uniform distribution on the segment $[0;1]$, $\mathbb C$ is a positive definite matrix of order $n$, and $a$ is an $n$-dimensional vector.
