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Breaking bivariate records
Published online by Cambridge University Press: 18 August 2020
Abstract
We establish a fundamental property of bivariate Pareto records for independent observations uniformly distributed in the unit square. We prove that the asymptotic conditional distribution of the number of records broken by an observation given that the observation sets a record is Geometric with parameter 1/2.
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- © The Author(s), 2020. Published by Cambridge University Press
Footnotes
Research supported by the Acheson J. Duncan Fund for the Advancement of Research in Statistics.
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