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WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 44, Fasc. 1,
pages 119 - 132
DOI: 10.37190/0208-4147.00156
Published online 20.9.2024
 

Beta distribution and associated Stirling numbers of the second kind

J. Gismatullin
P. Tardivel

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 lower and upper bounds for these numbers, using a probabilistic approach.

2010 AMS Mathematics Subject Classification: Primary 05A40; Secondary 44A60.

Keywords and phrases: beta distribution, associated Stirling numbers.

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