English

Exact Rosenthal-type inequalities for p=3, and related results

Probability 2017-01-17 v1 Statistics Theory Statistics Theory

Abstract

An exact Rosenthal-type inequality for the third absolute moments is given, as well as a number of related results. Such results are useful in applications to Berry--Esseen bounds.

Keywords

Cite

@article{arxiv.1302.6524,
  title  = {Exact Rosenthal-type inequalities for p=3, and related results},
  author = {Iosif Pinelis},
  journal= {arXiv preprint arXiv:1302.6524},
  year   = {2017}
}

Comments

4 pages