7 papers · 1 filter
Distinct Extreme Scores in Random Round-Robin Tournaments
Yaakov Malinovsky
We consider a general round-robin tournament model with equally strong players, where denotes the score of player against player . We assume that takes val…
Extreme Score Distributions in Countable-Outcome Round-Robin Tournaments of Equally Strong Players
Yaakov Malinovsky
We consider a general class of round-robin tournament models of equally strong players. In these models, each of the players competes against every other player exactly once. F…
Optimal single threshold stopping rules and sharp prophet inequalities
Alexander Goldenshluger, Yaakov Malinovsky, Assaf Zeevi
This paper considers a finite horizon optimal stopping problem for a sequence of independent and identically distributed random variables, where the objective is to design stopping…
Uniqueness of Maximum Scores in Countable-Outcome Round-Robin Tournaments
Gideon Amir, Yaakov Malinovsky
In this note, we extend a recent result on the uniqueness of the maximum score in a classical round-robin tournament to general round-robin tournament models with equally strong pl…
Maximal Counts in the Stopped Occupancy Problem
Alexander Gnedin, Svante Janson, Yaakov Malinovsky
We revisit a version of the classic occupancy scheme, where balls are thrown until almost all boxes receive a given number of balls. Special cases are widely known as coupon-collec…
A Note on a Recent Conjecture in Mathematics Magazine
Yaakov Malinovsky
In this note, we establish the validity of a conjecture recently proposed in Mathematics Magazine and connect it to the existing interesting results