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

DOI10.1016/j.spl.2016.08.016zbMath1397.60055arXiv1604.06283OpenAlexW2963938209MaRDI QIDQ334068

Christos Pelekis, Jan Ramon

Publication date: 31 October 2016

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.06283

zbMATH Keywords

lower boundshazard rate ordermean absolute deviationbinomial tailtail conditional expectation

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)

Related Items (5)

An elementary analysis of the probability that a binomial random variable exceeds its expectation ⋮ On the probability that a binomial variable is at most its expectation ⋮ A study on the Poisson, geometric and Pascal distributions motivated by Chvátal's conjecture ⋮ Convex transform order of Beta distributions with some consequences ⋮ On the Chvátal-Janson conjecture

Cites Work

• Stochastic orders
• Closed form summation for classical distributions: variations on a theme of de Moivre
• A sharp estimate of the binomial mean absolute deviation with applications
• Tight lower bound on the probability of a binomial exceeding its expectation
• Median Bounds and Their Application
• Stochastic domination and weak convergence of conditioned Bernoulli random vectors
• A note on optimal probability lower bounds for centered random variables
• Stochastic ordering of classical discrete distributions
• Mean, Median and Mode in Binomial Distributions
• Neyman-Pearson classification, convexity and stochastic constraints
• Monotone Convergence of Binomial Probabilities and a Generalization of Ramanujan's Equation

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