On the limit distribution of extremes of generalized Oppenheim random variables
Probability
2024-05-21 v1
Abstract
This paper investigates the asymptotic behavior of the extremes of a sequence of generalized Oppenheim random variables. Particularly, we establish conditions under which some normalized extremes of sequences arising from Oppenheim expansions belong to the maximum domain of attraction of the Frechet distribution. Additionally, we identify conditions under which the maxima and minima of Oppenheim random variables demonstrate some kind of asymptotic independence. Finally, we prove an Extreme Types theorem for Oppenheim expansions with unknown dependent structure.
Keywords
Cite
@article{arxiv.2405.11241,
title = {On the limit distribution of extremes of generalized Oppenheim random variables},
author = {Milto Hadjikyriakou and Rita Giuliano},
journal= {arXiv preprint arXiv:2405.11241},
year = {2024}
}