On Hoeffding's inequalities.
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Publication:1879841
DOI10.1214/009117904000000360zbMath1062.60011arXivmath/0410159OpenAlexW2037982184MaRDI QIDQ1879841
Publication date: 15 September 2004
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0410159
inequalitiesmartingalebounds for tail probabilitiesHoeffding's inequalitiesprobabilities of large deviationsbounded differences and random variables
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Cites Work
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- Estimates of the proximity of a distribution to the normal law
- On measure concentration for separately Lipschitz functions in product spaces
- Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
- On the distribution of the number of successes in independent trials
- On the asymptotical behavior of the constant in the Berry-Esseen inequality
- Extremal probabilistic problems and Hotelling's \(T^ 2\) test under a symmetry condition
- A probability inequality for linear combinations of bounded random variables
- An inequality for tail probabilities of martingales with differences bounded from one side
- An inequality for large deviation probabilities of sums of bounded i. i. d. random variables
- Some comments on deviation inequalities for infinitely divisible random vectors
- On conservative confidence intervals
- The missing factor in Hoeffding's inequalities
- Concentration of measure and isoperimetric inequalities in product spaces
- Sur quelques applications des fonctions convexes et concaves au sens de I. Schur
- On the Distribution of the Number of Successes in Independent Trials
- A Topological Application of the Isoperimetric Inequality
- Probability Inequalities for Sums of Bounded Random Variables
- A Note on Symmetric Bernoulli Random Variables
- Some Results for Discrete Unimodality
- Inequalities: theory of majorization and its applications