On the negative dependence inequalities and maximal score in round-robin tournament
Links to Fileshttps://arxiv.org/abs/2104.01450
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Type of Work7 pages
journal articles preprints
Citation of Original PublicationYaakov Malinovsky and John W. Moon, On the negative dependence inequalities and maximal score in round-robin tournament, https://arxiv.org/abs/2104.01450
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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.