On a Berry-Esseen type limit theorem for Boolean convolution

DOI10.1214/22-ECP448zbMath1494.46062arXiv2009.13628OpenAlexW4210882068MaRDI QIDQ2078115

Mauricio Salazar

Publication date: 25 February 2022

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.13628

zbMATH Keywords

Berry-Esseen theoremLévy distanceBoolean central limit theoremStieltjes-Perron formula

Mathematics Subject Classification ID

Noncommutative probability and statistics (46L53)

Related Items (2)

A note on the rate of convergence in the Boolean central limit theorem ⋮ Berry-Esseen bounds for the multivariate ℬ-free CLT and operator-valued matrices

Cites Work

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• A Berry-Esseen type limit theorem for Boolean convolution
• Limit theorems in free probability theory. I
• THE FIVE INDEPENDENCES AS NATURAL PRODUCTS
• MONOTONE CONVOLUTION AND MONOTONE INFINITE DIVISIBILITY FROM COMPLEX ANALYTIC VIEWPOINT
• On Choosing and Bounding Probability Metrics
• Berry–Esseen Type Estimate and Return Sequence for Parabolic Iteration in the Upper Half-Plane
• The Accuracy of the Gaussian Approximation to the Sum of Independent Variates

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