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

Iosif Pinelis

Statistics & Probability Letters, 2015, vol. 99, issue C, 131-134

Abstract: A well-known longstanding conjecture on the supremum of the tails of normalized sums of independent Rademacher random variables is disproved. A special case of this conjecture was recently disproved by A. Zhubr.

Keywords: Probability inequalities; Tail probabilities; Rademacher random variables; Sums of independent random variables (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1016/j.spl.2015.01.010

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