English

Point Process Approach to the Winner Problem

Probability 2025-03-05 v1

Abstract

We consider a limit theorem for a triangular array of point processes generated by non-identically distributed random variables, and apply the result for the analysis of the limiting behavior of the Argmaximum of independent random variables, as well as for some step processes.

Keywords

Cite

@article{arxiv.2503.02473,
  title  = {Point Process Approach to the Winner Problem},
  author = {Youri Davydov and Vladimir Rotar},
  journal= {arXiv preprint arXiv:2503.02473},
  year   = {2025}
}

Comments

9 pages

R2 v1 2026-06-28T22:06:06.417Z