Estimates of the convergence ratein the central limit theorem for generalized $U$-statistics
Teoriâ veroâtnostej i ee primeneniâ, Tome 43 (1998) no. 1, pp. 69-81
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Estimates are found of the convergence rate in the central limit theorem for generalized nondegenerate $U$-statistics. The estimates obtained refine and generalize a number of known results in this field.
Keywords:
generalized $U$-statistics, characteristic function
Mots-clés : normal distribution.
Mots-clés : normal distribution.
@article{TVP_1998_43_1_a4,
author = {Sh. A. Khashimov and G. R. Abdurakhmanov},
title = {Estimates of the convergence ratein the central limit theorem for generalized $U$-statistics},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {69--81},
publisher = {mathdoc},
volume = {43},
number = {1},
year = {1998},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1998_43_1_a4/}
}
TY - JOUR AU - Sh. A. Khashimov AU - G. R. Abdurakhmanov TI - Estimates of the convergence ratein the central limit theorem for generalized $U$-statistics JO - Teoriâ veroâtnostej i ee primeneniâ PY - 1998 SP - 69 EP - 81 VL - 43 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TVP_1998_43_1_a4/ LA - ru ID - TVP_1998_43_1_a4 ER -
%0 Journal Article %A Sh. A. Khashimov %A G. R. Abdurakhmanov %T Estimates of the convergence ratein the central limit theorem for generalized $U$-statistics %J Teoriâ veroâtnostej i ee primeneniâ %D 1998 %P 69-81 %V 43 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TVP_1998_43_1_a4/ %G ru %F TVP_1998_43_1_a4
Sh. A. Khashimov; G. R. Abdurakhmanov. Estimates of the convergence ratein the central limit theorem for generalized $U$-statistics. Teoriâ veroâtnostej i ee primeneniâ, Tome 43 (1998) no. 1, pp. 69-81. http://geodesic.mathdoc.fr/item/TVP_1998_43_1_a4/