On tournaments and negative dependence

Y Malinovsky, Y Rinott - Journal of Applied Probability, 2023 - cambridge.org
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 …

On negative dependence inequalities and maximal scores in round-robin tournaments

Y Malinovsky, JW Moon - Statistics & Probability Letters, 2022 - Elsevier
Abstract We extend Huber's (1963) inequality for the joint distribution function of negative
dependent scores in round-robin tournaments. As a byproduct, this extension implies …

On tournaments and negative dependence

Y Malinovsky, Y Rinott - arXiv preprint arXiv:2206.08461, 2022 - arxiv.org
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 …

A note on the distribution of the extreme degrees of a random graph via the Stein-Chen method

Y Malinovsky - Methodology and Computing in Applied Probability, 2024 - Springer
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 rate of …

[PDF][PDF] A note on tournaments and negative dependence

Y Malinovsky, Y Rinott - arXiv preprint arXiv:2206.08461, 2022 - researchgate.net
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 …