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arXiv · 0712.2974

On the rate of convergence and Berry-Esseen type theorems for a multivariate free central limit theorem

Roland Speicher
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Abstract

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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Roland Speicher. 2007-12-18. On the rate of convergence and Berry-Esseen type theorems for a multivariate free central limit theorem. https://arxiv.org/abs/0712.2974

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