4 citations · 5 across the 19 of their papers we have counts for
5 papers · 1 filter
Hitting a prime in 2.43 dice rolls (on average)
Noga Alon, Yaakov Malinovsky
What is the number of rolls of fair 6-sided dice until the first time the total sum of all rolls is a prime? We compute the expectation and the variance of this random variable up…
On Round-Robin Tournaments with a Unique Maximum Score
Yaakov Malinovsky, John W. Moon
Richard Arnold Epstein (1927-2016) published the first edition of "The Theory of Gambling and Statistical Logic" in 1967. He introduced some material on round-robin tournaments (co…
On Tournaments and Negative Dependence
Yaakov Malinovsky, Yosef Rinott
Negative dependence of sequences of random variables is often an interesting characteristic of their distribution, as well as a useful tool for studying various asymptotic results,…
A note on the distribution of the extreme degrees of a random graph via the Stein-Chen method
Yaakov Malinovsky
We offer an alternative proof, using the Stein-Chen method, of Bollobás' theorem concerning the distribution of the extreme degrees of a random graph. Our proof also provides a rat…
On the distribution of winners' scores in a round-robin tournament
Yaakov Malinovsky
In a classical chess round-robin tournament, each of players wins, draws, or loses a game against each of the other players. A win rewards a player with 1 points, a draw…