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On the distribution of some ordered variables
Authors:Saralees Nadarajah  Stephen Chan  Emmanuel Afuecheta
Institution:1. School of Mathematics, University of Manchester, Manchester, UKmbbsssn2@manchester.ac.uk;3. School of Mathematics, University of Manchester, Manchester, UK
Abstract:Abstract

Motivated 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.
Keywords:Extreme value theory  Linear ordering  Olympic swimming
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