2 papers
math.CO2026
Elementary asymptotics for the Stirling numbers of the second kind: The central range
Hsien-Kuei Hwang, Chong-Yi Li, Vytas Zacharovas
We derive the local and central limit theorems for the Stirling numbers of the second kind by elementary means, obtaining as corollaries effective asymptotic estimates for the Bell…
math.ST2024
Integrated empirical measures and generalizations of classical goodness-of-fit statistics
Hsien-Kuei Hwang, Satoshi Kuriki
Based on -fold integrated empirical measures, we study three new classes of goodness-of-fits tests, generalizing Anderson-Darling, Cramér-von Mises, and Watson statistics, respe…