English

On Concentration Inequalities for Vector-Valued Lipschitz Functions

Probability 2021-03-02 v1

Abstract

We derive two upper bounds for the probability of deviation of a vector-valued Lipschitz function of a collection of random variables from its expected value. The resulting upper bounds can be tighter than bounds obtained by a direct application of a classical theorem due to Bobkov and G\"{o}tze.

Keywords

Cite

@article{arxiv.2103.00651,
  title  = {On Concentration Inequalities for Vector-Valued Lipschitz Functions},
  author = {Dimitrios Katselis and Xiaotian Xie and Carolyn L. Beck and R. Srikant},
  journal= {arXiv preprint arXiv:2103.00651},
  year   = {2021}
}
R2 v1 2026-06-23T23:35:44.266Z