Extremal properties of sums of Bernoulli random variables.

DOI10.1016/S0167-7152(03)00037-3zbMath1116.60313OpenAlexW2036457487MaRDI QIDQ1423224

François Perron, Carlos Antonio León

Publication date: 14 February 2004

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

Full work available at URL: https://doi.org/10.1016/s0167-7152(03)00037-3

zbMATH Keywords

Bernoulli random variablesLarge deviationsConvex ordering

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Large deviations (60F10)

Related Items (8)

A note on multivariate stochastic comparisons of Bernoulli random variables ⋮ On the Bernstein-Hoeffding method ⋮ Sharpened versions of a Kolmogorov's inequality ⋮ Finite sampling inequalities: an application to two-sample Kolmogorov-Smirnov statistics ⋮ Smoothed analysis of partitioning algorithms for Euclidean functionals ⋮ Lower bounds for the error decay incurred by coarse quantization schemes ⋮ An extension of the Hoeffding inequality to unbounded random variables ⋮ Bounds for tail probabilities of martingales using skewness and kurtosis

Cites Work

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• The missing factor in Hoeffding's inequalities
• Some Approximations to the Binomial Distribution Function
• Probability Inequalities for Sums of Bounded Random Variables

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