Breaking Bivariate Records
Probability
2021-01-27 v1 Statistics Theory
Statistics Theory
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.
Cite
@article{arxiv.1901.08232,
title = {Breaking Bivariate Records},
author = {James Allen Fill},
journal= {arXiv preprint arXiv:1901.08232},
year = {2021}
}
Comments
1 table and 1 figure