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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…
math.PR2023
The Time for Reconstructing the Attack Graph in DDoS Attacks
Dina Barak-Pelleg, Daniel Berend
Despite their frequency, denial-of-service (DoS\blfootnote{Denial of Service (DoS), Distributed Denial of Service (DDoS), Probabilistic Packet Marking (PPM), coupon collector's pro…
math.PR2020
Maximum of Exponential Random Variables, Hurwitz's Zeta Function, and the Partition Function
Dina Barak-Pelleg, Daniel Berend, Grigori Kolesnik
A natural problem in the context of the coupon collector's problem is the behavior of the maximum of independent geometrically distributed random variables (with distinct parameter…