English

A lower bound on the probability that a binomial random variable is exceeding its mean

Probability 2016-04-22 v1

Abstract

We provide a lower bound on the probability that a binomial random variable is exceeding its mean. Our proof employs estimates on the mean absolute deviation and the tail conditional expectation of binomial random variables.

Keywords

Cite

@article{arxiv.1604.06283,
  title  = {A lower bound on the probability that a binomial random variable is exceeding its mean},
  author = {Christos Pelekis and Jan Ramon},
  journal= {arXiv preprint arXiv:1604.06283},
  year   = {2016}
}

Comments

7 pages

R2 v1 2026-06-22T13:37:42.299Z