On superconvergence of sums of free random variables

Vladislav Kargin

doi:10.1214/009117906000001132

On superconvergence of sums of free random variables

Vladislav Kargin

Mathematics and Statistics

Binghamton University

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

This paper derives sufficient conditions for superconvergence of sums of bounded free random variables and provides an estimate for the rate of superconvergence.

Original language	English
Pages (from-to)	1931-1949
Number of pages	19
Journal	Annals of Probability
Volume	35
Issue number	5
DOIs	https://doi.org/10.1214/009117906000001132
State	Published - Sep 2007

Keywords

Central limit theorem
Free convolutions
Free probability
Large deviations
Noncommutative probability

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10.1214/009117906000001132

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title = "On superconvergence of sums of free random variables",

abstract = "This paper derives sufficient conditions for superconvergence of sums of bounded free random variables and provides an estimate for the rate of superconvergence.",

keywords = "Central limit theorem, Free convolutions, Free probability, Large deviations, Noncommutative probability",

author = "Vladislav Kargin",

year = "2007",

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language = "English",

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journal = "Annals of Probability",

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N2 - This paper derives sufficient conditions for superconvergence of sums of bounded free random variables and provides an estimate for the rate of superconvergence.

AB - This paper derives sufficient conditions for superconvergence of sums of bounded free random variables and provides an estimate for the rate of superconvergence.

KW - Central limit theorem

KW - Free convolutions

KW - Free probability

KW - Large deviations

KW - Noncommutative probability

UR - https://www.scopus.com/pages/publications/51549083191

U2 - 10.1214/009117906000001132

DO - 10.1214/009117906000001132

M3 - Article

SN - 0091-1798

VL - 35

SP - 1931

EP - 1949

JO - Annals of Probability

JF - Annals of Probability

IS - 5

ER -

On superconvergence of sums of free random variables

Abstract

Keywords

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