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Open AccessMathematics

Beta distribution and associated Stirling numbers of the second kind

Jakub Gismatullin, Patrick Tardivel

2026.1.13Probability and Mathematical Statistics-Poland

DOI: 10.37190/0208-4147.00156

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.

Citation format

GISMATULLIN, Jakub; TARDIVEL, Patrick. Beta distribution and associated stirling numbers of the second kind [preprint]. arXiv, 2026. arXiv:2601.08453.