Rare Events and Poisson Point Processes

被引：0
|
作者：
Götze F. [1 ]
Zaitsev A.Y. [1 ]
机构：
[1] Universität Bielefeld, Germany and St. Petersburg Department of Steklov Mathematical Institute, St.Petersburg State University, St.Petersburg
来源：
Journal of Mathematical Sciences | 2020年 / 244卷 / 5期
关键词：
D O I：
10.1007/s10958-020-04650-2
中图分类号：
学科分类号：
摘要：
The aim of the present work is to show that the results obtained earlier on the approximation of distributions of sums of independent terms by the accompanying compound Poisson laws may be interpreted as rather sharp quantitative estimates for the closeness between the sample containing independent observations of rare events and the Poisson point process which is obtained after a Poissonization of the initial sample. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：771 / 778
页数：7
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