Breaking bivariate records

被引:2
|
作者
Fill, James Allen [1 ]
机构
[1] Johns Hopkins Univ, Dept Appl Math & Stat, 3400 N Charles St, Baltimore, MD 21218 USA
来源
COMBINATORICS PROBABILITY & COMPUTING | 2021年 / 30卷 / 01期
关键词
D O I
10.1017/S0963548320000309
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
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.
引用
收藏
页码:105 / 123
页数:19
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