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arXiv · 2601.08453

Beta distribution and associated Stirling numbers of the second kind

Jakub Gismatullin·Patrick Tardivel
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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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Jakub Gismatullin, Patrick Tardivel. 2026-01-13. Beta distribution and associated Stirling numbers of the second kind. https://doi.org/10.37190/0208-4147.00156

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