Limit theorems in free probability theory II

被引：6

作者：

Chistyakov, Gennadii P. ^{[1
]}

Goetze, Friedrich ^{[2
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Low Temp Phys & Engn, UA-61103 Kharkov, Ukraine

[2] Univ Bielefeld, Fac Math, D-33501 Bielefeld 1, Germany

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2008年 / 6卷 / 01期

关键词：

free random variables; Nevanlinna functions; Schur functions; free convolutions; limit theorems;

D O I：

10.2478/s11533-008-0006-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on an analytical approach to the definition of multiplicative free convolution on probability measures on the nonnegative line R+ and on the unit circle T we prove analogs of limit theorems for nonidentically distributed random variables in classical Probability Theory.

引用

页码：87 / 117

页数：31

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