Stochastics· 2026Q2
On the asymptotic behaviour of extremes of generalized Oppenheim random variables within classical extreme value domains
- 1citations
- Q2SCImago
- 2026year
Short summary
This paper establishes conditions under which normalized extremes of generalized Oppenheim random variables fall within the maximum domain of attraction of the Frechet distribution.
AI-generated from the title and abstract; the full text is not read.
Key points
- Establishes conditions for normalized extremes of generalized Oppenheim random variables to belong to the Frechet distribution's maximum domain of attraction.
- Identifies conditions for asymptotic independence between maxima and minima of Oppenheim random variables.
- Proves an Extreme Types theorem for Oppenheim expansions with unknown dependent structures.
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. Stochastics, 2026 · DOI ↗
Continue with a free account
Ask the paper: 3 free questions a day about this paper; save it, get its citation, new summaries every day for your field. Takeaways are Premium.
Continue free on the webSign in with Google or Apple; no card needed. You come back to this paper.
On your phone:
Field: Management Science and Operations Research
Management Science and Operations ResearchDecision Sciences