Rate of Convergence in the entropic free CLT

Abstract

We prove an expansion for densities in the free CLT and apply this result to an expansion in the entropic free central limit theorem assuming a moment condition of order 8 for the free summands.

References in corpus (3)

• On a class of free Levy laws related to a regression problem
• Local limit theorems in free probability theory
• On superconvergence of sums of free random variables

Cited by in corpus (4)

• Supports, regularity, and $⊞$-infinite divisibility for measures of the form $({\mu }^{⊞p}{)}^{\uplus q}$
• On the support of measures in multiplicative free convolution semigroups
• Supports of Measures in a free additive convolution semigroup
• Edgeworth-type expansion in the entropic free CLT