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The suprema of selector processes with the application to positive infinitely divisible processes

Probability 2026-01-26 v3 Combinatorics

Abstract

We provide an alternative proof of the recent result by Park and Pham (2022) on the expected suprema of positive selector and empirical processes. We extend it to positive infinitely divisible processes.

Keywords

Cite

@article{arxiv.2212.14636,
  title  = {The suprema of selector processes with the application to positive infinitely divisible processes},
  author = {Witold Bednorz and Rafał Martynek and Rafał Meller},
  journal= {arXiv preprint arXiv:2212.14636},
  year   = {2026}
}

Comments

30 pages