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Concentration Inequalities for Bounded Random Vectors

Probability 2013-11-05 v1 Machine Learning Statistics Theory Statistics Theory

Abstract

We derive simple concentration inequalities for bounded random vectors, which generalize Hoeffding's inequalities for bounded scalar random variables. As applications, we apply the general results to multinomial and Dirichlet distributions to obtain multivariate concentration inequalities.

Keywords

Cite

@article{arxiv.1309.0003,
  title  = {Concentration Inequalities for Bounded Random Vectors},
  author = {Xinjia Chen},
  journal= {arXiv preprint arXiv:1309.0003},
  year   = {2013}
}

Comments

9 pages, no figures

R2 v1 2026-06-22T01:18:10.453Z