Sharpened versions of a Kolmogorov's inequality

DOI10.1016/J.SPL.2009.10.001zbMath1181.60034OpenAlexW2011488777MaRDI QIDQ844864

Victor M. Kruglov, Sergei N. Antonov

Publication date: 5 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.spl.2009.10.001

Mathematics Subject Classification ID

Strong limit theorems (60F15) Large deviations (60F10)

Related Items (2)

Refined Kolmogorov inequalities for the binomial distribution ⋮ Lower estimations of the deviation probabilities for sums of Bernoulli random variables

Cites Work

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• Some inequalities relating to the partial sum of binomial probabilities
• Improved Kolmogorov inequalities for the binomial distribution
• Extremal properties of sums of Bernoulli random variables.
• A note on a Kolmogorov inequality
• A note on exponential bounds for binomial probabilities
• Kolmogorov inequalities for the partial sum of independent Bernoulli random variables
• On Some Inequalities Connected to the Strong Law of Large Numbers
• Short Communications On Inequalities for Large Deviations in the Bernoulli Scheme

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