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Breaking bivariate records
James Allen Fill
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Source: Crossref
Published: Aug 18, 2020
DOI: 10.1017/s0963548320000309
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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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