On the Chvátal-Janson conjecture

DOI10.1016/j.spl.2022.109744zbMath1506.60021OpenAlexW4309874983WikidataQ122970700 ScholiaQ122970700MaRDI QIDQ2112271

Luca Pratelli, Pietro Rigo, Lucio Barabesi

Publication date: 10 January 2023

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

Full work available at URL: https://doi.org/10.1016/j.spl.2022.109744

zbMATH Keywords

binomial distributionChvátal conjecture

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Probability distributions: general theory (60E05) Combinatorial probability (60C05)

Related Items (1)

A study on the Poisson, geometric and Pascal distributions motivated by Chvátal's conjecture

Cites Work

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• A lower bound on the probability that a binomial random variable is exceeding its mean
• Distribution inequalities for the binomial law
• An elementary analysis of the probability that a binomial random variable exceeds its expectation
• Tight lower bound on the probability of a binomial exceeding its expectation
• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
• On the probability that a binomial variable is at most its expectation
• Neyman-Pearson classification, convexity and stochastic constraints
• Monotone Convergence of Binomial Probabilities and a Generalization of Ramanujan's Equation

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