Best lower bound on the probability of a binomial exceeding its expectation
Document Type
Article
Publication Date
12-2021
Department
Department of Mathematical Sciences
Abstract
Let X be a random variable distributed according to the binomial distribution with parameters n and p. It is shown that P(X > EX) ⩾ 1/4 if 1 > p ⩾ c/n, where c := ln(4/3), the best possible constant factor.
Publication Title
Statistics & Probability Letters
Recommended Citation
Pinelis, I.
(2021).
Best lower bound on the probability of a binomial exceeding its expectation.
Statistics & Probability Letters,
179.
http://doi.org/10.1016/j.spl.2021.109224
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/15322
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