Diskretnaya Matematika, Tome 1 (1989) no. 2, pp. 15-27
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V. G. Mikhailov. Asymptotic normality of symmetric decomposable statistics in an inhomogeneous scheme. Diskretnaya Matematika, Tome 1 (1989) no. 2, pp. 15-27. http://geodesic.mathdoc.fr/item/DM_1989_1_2_a1/
@article{DM_1989_1_2_a1,
author = {V. G. Mikhailov},
title = {Asymptotic normality of symmetric decomposable statistics in an inhomogeneous scheme},
journal = {Diskretnaya Matematika},
pages = {15--27},
year = {1989},
volume = {1},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_1989_1_2_a1/}
}
TY - JOUR
AU - V. G. Mikhailov
TI - Asymptotic normality of symmetric decomposable statistics in an inhomogeneous scheme
JO - Diskretnaya Matematika
PY - 1989
SP - 15
EP - 27
VL - 1
IS - 2
UR - http://geodesic.mathdoc.fr/item/DM_1989_1_2_a1/
LA - ru
ID - DM_1989_1_2_a1
ER -
%0 Journal Article
%A V. G. Mikhailov
%T Asymptotic normality of symmetric decomposable statistics in an inhomogeneous scheme
%J Diskretnaya Matematika
%D 1989
%P 15-27
%V 1
%N 2
%U http://geodesic.mathdoc.fr/item/DM_1989_1_2_a1/
%G ru
%F DM_1989_1_2_a1
Sufficient conditions for the asymptotic normality of one-dimensional and multi-dimensional symmetric decomposable statistics in an inhomogeneous scheme (independent of the position of the particle with a denumerable set of cells) are given. The proofs are based on the approximation of symmetric decomposable statistics by $U$-statistics.
