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arXiv · 1901.08232

Breaking Bivariate Records

James Allen Fill
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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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James Allen Fill. 2019-01-24. Breaking Bivariate Records. https://doi.org/10.1017/s0963548320000309

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