English

Exact value for subgaussian norm of centered indicator random variable

Probability 2014-05-28 v1

Abstract

We calculate the exact subgaussian norm of a centered (shifted) indicator (Bernoulli's) random variable. Using this result we derive very simple tail estimates for sums of these variables, not necessary to be identical distributed, and give some examples to show the exactness of our estimates.

Keywords

Cite

@article{arxiv.1405.6749,
  title  = {Exact value for subgaussian norm of centered indicator random variable},
  author = {Eugene Ostrovsky and Leonid Sirota},
  journal= {arXiv preprint arXiv:1405.6749},
  year   = {2014}
}
R2 v1 2026-06-22T04:23:45.886Z