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math.PRJan 16, 2017
authors
  • Gennadii Chistyakov
  • Friedrich Götze
arXiv abstractPDF
paper

Edgeworth-type expansion in the entropic free CLT

arXiv:1701.04352

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 four for the free summands.

arXiv admin note: substantial text overlap with arXiv:1112.5087

References in corpus (2)

  • Local limit theorems in free probability theory
  • On superconvergence of sums of free random variables
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