Mathematics > Operator Algebras
[Submitted on 18 Dec 2007]
Title:On the rate of convergence and Berry-Esseen type theorems for a multivariate free central limit theorem
View PDFAbstract: We address the question of a Berry Esseen type theorem for the speed of convergence in a multivariate free central limit theorem. For this, we estimate the difference between the operator-valued Cauchy transforms of the normalized partial sums in an operator-valued free central limit theorem and the Cauchy transform of the limiting operator-valued semicircular element.
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