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Breaking Bivariate Records

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 نشر من قبل James Allen Fill
 تاريخ النشر 2019
  مجال البحث
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 تأليف James Allen Fill




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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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