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arXiv · 1306.1433

Tight Lower Bound on the Probability of a Binomial Exceeding its Expectation

Spencer Greenberg·Mehryar Mohri
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Abstract

We give the proof of a tight lower bound on the probability that a binomial random variable exceeds its expected value. The inequality plays an important role in a variety of contexts, including the analysis of relative deviation bounds in learning theory and generalization bounds for unbounded loss functions.

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Spencer Greenberg, Mehryar Mohri. 2013-11-11. Tight Lower Bound on the Probability of a Binomial Exceeding its Expectation. https://arxiv.org/abs/1306.1433

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