On negative dependence inequalities and maximal scores in round-robin tournaments
Abstract
We extend Huber's (1963) inequality 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.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2021
- DOI:
- 10.48550/arXiv.2104.01450
- arXiv:
- arXiv:2104.01450
- Bibcode:
- 2021arXiv210401450M
- Keywords:
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- Mathematics - Probability;
- Mathematics - Statistics Theory;
- 60E15;
- 05C20;
- 60F10