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Breaking bivariate records
Combinatorics, Probability and Computing ( IF 0.9 ) Pub Date : 2020-08-18 , DOI: 10.1017/s0963548320000309
James Allen Fill

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.

中文翻译:

打破双变量记录

我们建立了二元帕累托记录的基本属性,用于均匀分布在单位平方中的独立观察。我们证明了在观察设置记录的情况下,观察所破坏的记录数量的渐近条件分布是几何参数,参数为 1/2。
更新日期:2020-08-18
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