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

Christos Pelekis and Jan Ramon

Statistics & Probability Letters, 2016, vol. 119, issue C, 305-309

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: Lower bounds; Binomial tail; Mean absolute deviation; Tail conditional expectation; Hazard rate order (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (5)

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DOI: 10.1016/j.spl.2016.08.016

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