On a sum of centered random variables with nonreducing variances

Abstract

We give a new proof of weak version of R. Holzman and D.J. Kleitman bound on a number of the $n$-dimensional cube vertices strictly separated by a hyperplane, tangent to the inscribed sphere.

arXiv comment4 pages

Cited by in corpus (3)

• An improvement of the Boppana-Holzman bound for Rademacher random variables
• Some explorations on two conjectures about Rademacher sequences
• Tomaszewski's Problem on Randomly Signed Sums: Breaking the 3/8 Barrier