Improved Kolmogorov inequalities for the binomial distribution

DOI10.1016/0167-7152(92)90051-6zbMath0747.60020OpenAlexW1989081510MaRDI QIDQ1185548

Danny W. Turner, John W. jun. Seaman, Dean M. Young

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0167-7152(92)90051-6

zbMATH Keywords

exponential boundsbinomial distributionKolmogorov-type inequalitiesgeometric ratesmaximal large deviation

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Sums of independent random variables; random walks (60G50)

Related Items (6)

A Kolmogorov inequality for \(U\)-statistics based on Bernoulli kernels ⋮ A Kolmogorov inequality for the sum of independent Bernoulli random variables with unequal means ⋮ Sharpened versions of a Kolmogorov's inequality ⋮ On the maximal inequality ⋮ Kolmogorov inequalities for the partial sum of independent Bernoulli random variables ⋮ Refined Kolmogorov inequalities for the binomial distribution

Cites Work

• A note on a Kolmogorov inequality
• A note on exponential bounds for binomial probabilities
• A Note on a Kolmogorov Inequality for the Binomial Distribution
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