Operator-Valued and Multivariate Free Berry-Esseen Theorems

DOI10.1007/978-3-642-36068-8_7zbMath1282.46060arXiv1202.2740OpenAlexW1723478947MaRDI QIDQ2848103

Roland Speicher, Tobias Mai

Publication date: 25 September 2013

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.2740

zbMATH Keywords

multivariatelinearization trickoperator valuedfree Berry-Esseen theoremmatrix valued spectrummultivariate free central limit theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Free probability and free operator algebras (46L54) Spectrum, resolvent (47A10)

Related Items (5)

Berry-Esseen bounds for the multivariate ℬ-free CLT and operator-valued matrices ⋮ Rates of convergence in the free central limit theorem ⋮ A note on existence of free Stein kernels ⋮ Operator-valued chordal Loewner chains and non-commutative probability ⋮ An operad of non-commutative independences defined by trees

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