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Choquet random sup-measures with aggregations

Probability 2021-05-18 v3

Abstract

A variation of Choquet random sup-measures is introduced. These random sup-measures are shown to arise as the scaling limits of empirical random sup-measures of a general aggregated model. Because of the aggregations, the finite-dimensional distributions of introduced random sup-measures do not necessarily have classical extreme-value distributions. Examples include the recently introduced stable-regenerative random sup-measures as a special case.

Keywords

Cite

@article{arxiv.2005.13383,
  title  = {Choquet random sup-measures with aggregations},
  author = {Yizao Wang},
  journal= {arXiv preprint arXiv:2005.13383},
  year   = {2021}
}

Comments

major revision with a new title; 27 pages

R2 v1 2026-06-23T15:51:15.251Z