English

Extremes of random variables observed in renewal times

Probability 2016-08-08 v2

Abstract

We use point processes theory to describe the asymptotic distribution of all upper order statistics for observations collected at renewal times. As a corollary, we obtain limiting theorems for corresponding extremal processes.

Keywords

Cite

@article{arxiv.1406.6208,
  title  = {Extremes of random variables observed in renewal times},
  author = {Bojan Basrak and Drago Špoljarić},
  journal= {arXiv preprint arXiv:1406.6208},
  year   = {2016}
}