On the supremum of the tails of normalized sums of independent Rademacher random variables

Abstract

A well-known longstanding conjecture on the supremum of the tails of normalized sums of independent Rademacher random variables is disproved. A related conjecture, also recently disproved, is discussed.

6 pages

References in corpus (1)

• On the absolute constants in the Berry-Esseen type inequalities for identically distributed summands