Asymptotic expansions in the CLT in free probability

DOI10.1007/s00440-012-0451-2zbMath1282.46059arXiv1109.4844OpenAlexW2062583385MaRDI QIDQ377516

Gennadiy P. Chistyakov, Friedrich Götze

Publication date: 6 November 2013

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.4844

zbMATH Keywords

asymptotic expansionCauchy transformcentral limit theoremfree convolutionsfree random variables

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10) Free probability and free operator algebras (46L54)

Related Items (12)

Approximation of Free Convolutions by Free Infinitely Divisible Laws ⋮ A note on the rate of convergence in the Boolean central limit theorem ⋮ Superconvergence in free probability limit theorems for arbitrary triangular arrays ⋮ Asymptotic expansions in the CLT in free probability ⋮ Asymptotic analysis of symmetric functions ⋮ Berry-Esseen bounds for the multivariate ℬ-free CLT and operator-valued matrices ⋮ Faster convergence in the free central limit theorem ⋮ On the supports of measures in free multiplicative convolution semigroups ⋮ Free Stein kernels and an improvement of the free logarithmic Sobolev inequality ⋮ A note on existence of free Stein kernels ⋮ Convergence and asymptotic approximations to universal distributions in probability ⋮ Non-crossing partitions

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