A probability distribution connected with Stirling's second class numbers

1951/01/01 by O. Arfwedson · 1 voice · 1 citation
Mathematics · #Advanced Combinatorial Mathematics

paper · doi:10.1080/03461238.1951.10432133

openalex publication_date 1951/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

1. An urn contains N numbered balls. We make n drawings replacing the ball into the urn each time. What is the probability of getting v different balls?

Cited by

• On the number of segregating sites in genetical models without recombination

Discussions

• column asymptotics The cycle numbers can be represented as elementary symmetric polynomials, ${n\brack k}=e_{n-k}(1,2,\ldots,n-1)=(n-1)!e_{k-1}(\frac11,\frac12,\ldots,\frac1{n-1})$ ; by induction on N [stackexchange, 0 points]