Arak's inequalities for concentration functions and the Littlewood-Offord problem
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Publication:2631210
DOI10.1134/S1064562416020241zbMath1360.60041arXiv1512.02938MaRDI QIDQ2631210
Yu. S. Eliseeva, Friedrich Götze, Andrei Yu. Zaitsev
Publication date: 29 July 2016
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.02938
inequalitiesdistributionconcentration functionrandom variablesindependentweighted sumsidentically distributed
Inequalities; stochastic orderings (60E15) Sums of independent random variables; random walks (60G50) Asymptotic results on arithmetic functions (11N37)
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Arak's inequalities for the generalized arithmetic progressions, New applications of Arak's inequalities to the Littlewood-Offord problem, Toward the history of the Saint St. Petersburg school of probability and statistics. I: Limit theorems for sums of independent random variables, A Combinatorial Approach to Small Ball Inequalities for Sums and Differences
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