English

Edgeworth-type expansion in the entropic free CLT

Probability 2017-01-17 v1

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.

Keywords

Cite

@article{arxiv.1701.04352,
  title  = {Edgeworth-type expansion in the entropic free CLT},
  author = {Gennadii Chistyakov and Friedrich Götze},
  journal= {arXiv preprint arXiv:1701.04352},
  year   = {2017}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1112.5087