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

Christos Pelekis; Jan Ramon

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arXiv · 1604.06283

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

Christos Pelekis·Jan Ramon

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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.

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Christos Pelekis, Jan Ramon. 2016-04-21. A lower bound on the probability that a binomial random variable is exceeding its mean. https://arxiv.org/abs/1604.06283

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