Probability Mass of Rademacher Sums Beyond One Standard Deviation

DOI10.1137/21M1428212zbMath1498.60057arXiv2104.10005OpenAlexW3154712637MaRDI QIDQ5043641

Ohad Klein, Vojtěch Dvořák

Publication date: 6 October 2022

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.10005

zbMATH Keywords

combinatorial probabilityanti-concentrationRademacher sums

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Hypergraphs (05C65) Combinatorial probability (60C05) Combinatorial inequalities (05A20) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40)

Uses Software

• GitHub
• MathOverflow

Cites Work

• Proof of Tomaszewski's conjecture on randomly signed sums
• The Distribution of Rademacher Sums
• Independent Sequences with the Stein Property
• On a lemma of Littlewood and Offord
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