Beta distribution and associated Stirling numbers of the second kind
Probability
2026-01-14 v1 Combinatorics
Statistics Theory
Statistics Theory
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.
Keywords
Cite
@article{arxiv.2601.08453,
title = {Beta distribution and associated Stirling numbers of the second kind},
author = {Jakub Gismatullin and Patrick Tardivel},
journal= {arXiv preprint arXiv:2601.08453},
year = {2026}
}