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math.PR2026
On a Conjecture on Uniform Group Drawings in the Coupon Collector Problem
Daniel Berend, Tomer Sher
We address a conjecture of Schilling concerning the optimality of the uniform distribution in the generalized Coupon Collector's Problem (CCP) where, in each round, a subset (packa…
math.PR2026
Asymptotic Results for Uniform Group Drawing in the Coupon Collector's Problem
Daniel Berend, Tomer Sher
The article explores the asymptotic behavior of the expected number of drawings in the Coupon Collector's Problem with group-drawing under the uniform distribution. In this variant…
math.PR2025
On Conjectures concerning the Labeled Coupon Collector Problem
Dina Barak-Pelleg, Daniel Berend
We study a labeled variant of the classical Coupon Collector Problem (CCP), recently introduced by Tan et al., where coupons arrive in groups and only the set of labels is revealed…