On negative dependence inequalities and maximal scores in round-robin tournaments
Probability
2022-02-07 v3 Statistics Theory
Statistics Theory
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 convergence in probability of the maximal score in round-robin tournaments in a more general setting.
Keywords
Cite
@article{arxiv.2104.01450,
title = {On negative dependence inequalities and maximal scores in round-robin tournaments},
author = {Yaakov Malinovsky and John W. Moon},
journal= {arXiv preprint arXiv:2104.01450},
year = {2022}
}