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arXiv · 1611.06995

Point processes in a metric space

Yuwei Zhao
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Abstract

As a useful and elegant tool of extreme value theory, the study of point processes on a metric space is important and necessary for the analyses of heavy-tailed functional data. This paper focuses on the definition and properties of such point processes. A complete convergence result for a regularly varying iid sequence in a metric space is proved as an example of the application in extreme value theory.

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Yuwei Zhao. 2016-11-21. Point processes in a metric space. https://arxiv.org/abs/1611.06995

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