English

Point processes in a metric space

Probability 2016-11-24 v2

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.

Keywords

Cite

@article{arxiv.1611.06995,
  title  = {Point processes in a metric space},
  author = {Yuwei Zhao},
  journal= {arXiv preprint arXiv:1611.06995},
  year   = {2016}
}
R2 v1 2026-06-22T16:59:46.670Z