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Journal Articles Statistics and Probability Letters Year : 2018

An elementary analysis of the probability that a binomial random variable exceeds its expectation

Abstract

h i g h l i g h t s • An elementary lower bound of the probability that a binomial random variable exceeds its expectation. • Stronger than most previous bounds. • Yields a still elementary proof for the fact that this probability is at least 1/4 when p is at least 1/n.
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hal-04484651 , version 1 (04-04-2024)

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Benjamin Doerr. An elementary analysis of the probability that a binomial random variable exceeds its expectation. Statistics and Probability Letters, 2018, 139, pp.67 - 74. ⟨10.1016/j.spl.2018.03.016⟩. ⟨hal-04484651⟩
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