Beta distribution and associated Stirling numbers of the second kind

Published 13 Jan 2026 in math.PR, math.CO, and math.ST | (2601.08453v1)

Abstract: This article gives a formula for associated Stirling numbers of the second kind based on the moment of a sum of independent random variables having a beta distribution. From this formula we deduce, using probabilistic approaches, lower and upper bounds for these numbers.

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