Approaching the coupon collector’s problem with group drawings via Stein’s method

DOI10.1017/jpr.2023.6arXiv2202.07485OpenAlexW4366991683MaRDI QIDQ6148880

Christoph Thäle, Carina Betken

Publication date: 12 January 2024

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.07485

zbMATH Keywords

Stein's methodcentral limit theoremcoupon collector's problemPoisson limit theoremsize-biased coupling

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Combinatorial probability (60C05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fundamentals of Stein's method
• A remainder term estimate for the normal approximation in classical occupancy
• Size bias for one and all
• Gaussian phases in generalized coupon collection
• Limit Theorems for the Number of Empty Cells in an Equiprobable Scheme for Group Allocation of Particles
• The collector's problem with group drawings
• The Generalised Coupon Collector Problem
• Asymptotic Normality of the Number of Empty Cells for Group Allocation of Particles
• A Poisson Limit Theorem in the Scheme of Group Disposal Paricles
• Multivariate normal approximations by Stein's method and size bias couplings
• Two poisson limit theorems for the coupon collector’s problem with group drawings
• Generalized Coupon Collection: The Superlinear Case
• Asymptotic Distributions for the Coupon Collector's Problem