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

dc.contributor.authorMalinovsky, Yaakov
dc.contributor.authorMoon, John W.
dc.date.accessioned2021-04-28T15:37:48Z
dc.date.available2021-04-28T15:37:48Z
dc.date.issued2022-02-16
dc.description.abstractWe 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.en_US
dc.description.sponsorshipWe would like to thank the Editor, Associate Editor and referee for the insightful and helpful comments that led to significant improvements in the paper. YM thanks Abram Kagan for describing a score issue in chess round-robin tournaments with draws. The research of YM was supported by grant no. 2020063 from the United States–Israel Binational Science Foundation (BSF) , Jerusalem, Israel.en_US
dc.description.urihttps://www.sciencedirect.com/science/article/pii/S0167715222000402en_US
dc.format.extent7 pagesen_US
dc.genrejournal articlesen_US
dc.genrepreprints
dc.identifierdoi:10.13016/m2y2nd-eec3
dc.identifier.citationMalinovsky, 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.en_US
dc.identifier.urihttps://doi.org/10.1016/j.spl.2022.109432
dc.language.isoen_USen_US
dc.publisherElsevier
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.isformatofUMBC Faculty Collection
dc.relation.ispartofUMBC Mathematics Department Collection
dc.rightsThis 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.
dc.titleOn the negative dependence inequalities and maximal score in round-robin tournamenten_US
dc.typeTexten_US

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