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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…
cs.LG2020
On Biased Random Walks, Corrupted Intervals, and Learning Under Adversarial Design
Daniel Berend, Aryeh Kontorovich, Lev Reyzin +1
We tackle some fundamental problems in probability theory on corrupted random processes on the integer line. We analyze when a biased random walk is expected to reach its bottommos…