English

Various New Inequalities for Beta Distributions

Statistics Theory 2023-08-21 v9 Probability Statistics Theory

Abstract

This note provides some new inequalities and approximations for beta distributions, including tail inequalities, exponential inequalities of Hoeffding and Bernstein type, Gaussian inequalities and approximations.

Keywords

Cite

@article{arxiv.2202.06718,
  title  = {Various New Inequalities for Beta Distributions},
  author = {Alexander Henzi and Lutz Duembgen},
  journal= {arXiv preprint arXiv:2202.06718},
  year   = {2023}
}

Comments

Parts of version 8 has been published in Statistics & Probability Letters 195 (2023). Version 9 contains some improvements and updated references

R2 v1 2026-06-24T09:35:19.564Z