On the distribution of some ordered variables |
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Authors: | Saralees Nadarajah Stephen Chan Emmanuel Afuecheta |
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Affiliation: | 1. School of Mathematics, University of Manchester, Manchester, UKmbbsssn2@manchester.ac.uk;3. School of Mathematics, University of Manchester, Manchester, UK |
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Abstract: | AbstractMotivated by a recent article published by Adam and Tawn, we characterize the distribution of two random variables X, Y ordered linearly like X < Y. We suppose that the random variables follow a bivariate extreme value distribution. |
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Keywords: | Extreme value theory Linear ordering Olympic swimming |
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