Beta distribution and associated Stirling numbers of the second kind

Fuente: arXiv
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Auteurs principaux: Gismatullin, Jakub, Tardivel, Patrick
Format: Preprint
Publié: 2026
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author Gismatullin, Jakub
Tardivel, Patrick
author_facet Gismatullin, Jakub
Tardivel, Patrick
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_08453
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Beta distribution and associated Stirling numbers of the second kind
Gismatullin, Jakub
Tardivel, Patrick
Probability
Combinatorics
Statistics Theory
05A40 44A60
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.
title Beta distribution and associated Stirling numbers of the second kind
topic Probability
Combinatorics
Statistics Theory
05A40 44A60
url https://arxiv.org/abs/2601.08453