Asymptotic Analysis of Symmetric Functions

被引：3
|
作者：
Goetze, F. [1 ]
Naumov, A. [2 ,3 ]
Ulyanov, V. [2 ,4 ]
机构：
[1] Bielefeld Univ, Fac Math, D-33615 Bielefeld, Germany
[2] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119991, Russia
[3] Inst Informat Transmiss Problems RAS, Moscow 127051, Russia
[4] Natl Res Univ, Higher Sch Econ HSE, Moscow 101000, Russia
来源：
JOURNAL OF THEORETICAL PROBABILITY | 2017年 / 30卷 / 03期
关键词：
Symmetric functions; Asymptotic expansions; Functional limit theorems; Edgeworth expansion; U-statistics; Invariance principle; EDGEWORTH EXPANSIONS; RANDOM-VARIABLES; APPROXIMATION; SUMS; CLT;
D O I：
10.1007/s10959-016-0679-3
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this paper we consider asymptotic expansions for a class of sequences of symmetric functions of many variables. Applications to classical and free probability theory are discussed.
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页码：876 / 897
页数：22
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