On the negative dependence inequalities and maximal score in round-robin tournament
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Yaakov Malinovsky and John W. Moon, On the negative dependence inequalities and maximal score in round-robin tournament, https://arxiv.org/abs/2104.01450Rights
This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.Abstract
We extend Huber's (1963) inequality for the joint distribution function of negative dependent scores in the round-robin tournament. As a byproduct, this extension implies convergence in probability of the maximal score in a round-robin tournament in a more general setting.