Abstract
AbstractWe 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.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Computational Theory and Mathematics,Statistics and Probability,Theoretical Computer Science
Cited by
2 articles.
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1. On the probability of a Pareto record;Probability in the Engineering and Informational Sciences;2024-06-04
2. Breaking multivariate records;Electronic Journal of Probability;2023-01-01