On the negative dependence inequalities and maximal score in round-robin tournament

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https://www.sciencedirect.com/science/article/pii/S0167715222000402

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https://doi.org/10.1016/j.spl.2022.109432

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UMBC Mathematics and Statistics Department
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2022-02-16

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journal articles
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Malinovsky, Yaakov, and John W. Moon. “On Negative Dependence Inequalities and Maximal Scores in Round-Robin Tournaments.” Statistics & Probability Letters 185 (June 1, 2022): 109432. https://doi.org/10.1016/j.spl.2022.109432.

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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.