Kolmogorov inequalities for the partial sum of independent Bernoulli random variables

DOI10.1016/J.SPL.2007.02.001zbMath1120.60014OpenAlexW2082302452MaRDI QIDQ2643384

Petroula M. Mavrikiou

Publication date: 23 August 2007

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

Full work available at URL: https://doi.org/10.1016/j.spl.2007.02.001

zbMATH Keywords

Bernoulli random variablesKolmogorov inequalities

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)

Related Items (3)

Sharpened versions of a Kolmogorov's inequality ⋮ A Kolmogorov inequality for weighted U-statistics ⋮ On the Kolmogorov inequalities for quadratic forms of dependent uniformly bounded random variables

Cites Work

• Probability inequalities with exponential bounds for \(U\)-statistics
• Improved Kolmogorov inequalities for the binomial distribution
• A Kolmogorov inequality for \(U\)-statistics based on Bernoulli kernels
• A note on a Kolmogorov inequality
• A Kolmogorov inequality for the sum of independent Bernoulli random variables with unequal means
• On exponential bounds for binomial probabilities
• On a Kolmogorov Inequality
• A Note on a Kolmogorov Inequality for the Binomial Distribution
• Probability Inequalities for Sums of Bounded Random Variables
• Unnamed Item

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