abstract

• We show that there is a faster convergence in the free central limit theorem for measures of bounded support when we have vanishing free cumulants. We give estimates for the extremes of the support and the density of the converging measure. As a consequence, we obtain a more precise Berry–Esseen type estimate than previous results. © 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

authors

• Salazar Méndez Mauricio

publication date

• 2023-01-01

published in

• Complex Analysis and Operator Theory  Journal

keywords

• Berry–Esseen theorem, Density estimate, Free central limit theorem

Digital Object Identifier (DOI)

• 10.1007/s11785-023-01373-5

PubMed ID

start page

end page

volume

• 17

issue

• 5