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On negative dependence inequalities and maximal scores in round-robin tournaments - MaRDI portal

On negative dependence inequalities and maximal scores in round-robin tournaments (Q2128933)

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On negative dependence inequalities and maximal scores in round-robin tournaments
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    On negative dependence inequalities and maximal scores in round-robin tournaments (English)
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    22 April 2022
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    In this paper, \textit{P. J. Huber}'s inequality [Ann. Math. Stat. 34, 92--94 (1963; Zbl 0114.11002)] is extended 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.
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    large deviation
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    negative correlation
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    probability inequalities
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    round-robin tournaments
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