Now showing items 1-5 of 5
A note on the distribution of the extreme degrees of a random graph via the Stein-Chen method
We offer an alternative proof, using the Stein-Chen method, of Bollobás' theorem concerning the distribution of the extreme degrees of a random graph. The same method also applies in a more general setting where the ...
On Tournaments and Negative Dependence
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, including central limit theorems, Poisson ...
On Round-Robin Tournaments with a Unique Maximum Score and Some Related Results
Richard Arnold Epstein (1927-2016) published the first edition of ”The Theory of Gambling and Statistical Logic” in 1967. He introduced some material on roundrobin tournaments (complete oriented graphs) with n labeled ...
Hitting a prime in 2.43 dice rolls (on average)
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 to an additive error of less than 10−4 , ...
Using group testing in a two-phase epidemiologic design to identify the effects of a large number of antibody reactions on disease risk
(Springer Nature, 2022-12-16)
Background: The role of immunological responses to exposed bacteria on disease incidence is increasingly under investigation. With many bacterial species, and many potential antibody reactions to a particular species, the ...