Maximal probabilities of convolution powers of discrete uniform distributions

DOI10.1016/j.spl.2008.05.005zbMath1152.60310arXiv0706.0843OpenAlexW2065389690MaRDI QIDQ956379

Bero Roos, Lutz Mattner

Publication date: 25 November 2008

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

Full work available at URL: https://arxiv.org/abs/0706.0843

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Sums of independent random variables; random walks (60G50) Inequalities for sums, series and integrals (26D15)

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Cites Work

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• Level crossing probabilities. II: Polygonal recurrence of multidimensional random walks
• Probability inequalities for convex sets and multidimensional concentration functions
• Parametric and semiparametric models with applications to reliability, survival analysis, and quality of life.
• A shorter proof of Kanter's Bessel function concentration bound
• Lower Bounds for Tails of Sums of Independent Symmetric Random Variables
• Inequalities for Concentration Functions of Convolutions of Arithmetic Distributions and Distributions with Bounded Densities
• Estimation of the Maximum Probability for Sums of Lattice Random Variables
• Littlewood-Offord Inequalities for Random Variables
• A Sharper Form of the Doeblin-Lévy-Kolmogorov-Rogozin Inequality for Concentration Functions.