Occupancy problems related to the generalized Stirling numbers

DOI10.1007/s10955-023-03216-1OpenAlexW4390346391MaRDI QIDQ6137763

Thierry E. Huillet

Publication date: 16 January 2024

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-023-03216-1

zbMATH Keywords

Markov chainsStirling numbersinteger partitionscombinatorial probabilityrandom allocation of particlesEwens-Pitman sampling formulaforests of increasing trees

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Combinatorial probability (60C05)

Cites Work

• Generalized Stirling permutations, families of increasing trees and urn models
• Limit theorems for triangular urn schemes
• The sampling theory of neutral alleles and an urn model in population genetics
• Generalized hypergeometric, digamma and trigamma distributions
• A unified approach to generalized Stirling numbers
• Lectures on probability theory and statistics. Ecole d'Eté de probabilités de Saint-Flour XXXI -- 2001.
• Special values of the Bell polynomials of the second kind for some sequences and functions
• Occupancy distributions arising in sampling from Gibbs-Poisson abundance models
• Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
• A line-breaking construction of the stable trees
• The sampling theory of selectively neutral alleles
• Random Trees
• On the Altitude of Nodes in Random Trees
• A restaurant process with cocktail bar and relations to the three-parameter Mittag–Leffler distribution
• Level of nodes in increasing trees revisited
• Ordered sample from two-parameter GEM distribution
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Occupancy problems related to the generalized Stirling numbers