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.

引用

页码：876 / 897

页数：22

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