Beta distribution and associated Stirling numbers of the second kind

Beta distribution and associated Stirling numbers of the second kind

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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Veröffentlicht in:Probability and mathematical statistics 2024-09, Vol.44 (1), p.119-132
Hauptverfasser: Gismatullin, Jakub, Tardivel, Patrick J C
Format: Artikel
Sprache:eng
Schlagworte:
Combinatorics
Mathematics
Probability
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Zusammenfassung: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.
ISSN:0208-4147
0208-4147