An inequality involving alternating binomial sums

Published 11 Mar 2026 in math.PR | (2603.11129v1)

Abstract: In this letter, we prove an inequality involving alternating binomial logarithmic sums by exploiting the variance of the logarithm of the maximum of independent and identically distributed exponential random variables. This inequality was introduced in our recent work [On the minimum of independent collecting processes via the Stirling numbers of the second kind, Statist. Probab. Lett., 185 (2022)].

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Aristides V. Doumas

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