The suprema of selector processes with the application to positive infinitely divisible processes
We provide an alternative proof of the recent result of Park and Pham [Ann. of Math. 199 (2024)] on the expected suprema of positive selector and empirical processes, which we find useful in further generalizations we discuss. As an application, we obtain a result concerning positive infinitely divisible processes.
Authors
- Rafał Meller (ORCID: https://orcid.org/0000-0002-1774-8694)
- Rafał Martynek (ORCID: https://orcid.org/0000-0001-9805-1882)
- Witold Bednorz
Institutions
- Institute of Psychology (PL)
- Institute of Mathematics (PL)
- University of Warsaw (PL)
Publication Details
- Journal
- Studia Mathematica
- Published
- 2026-09-19
- DOI
- https://doi.org/10.4064/sm250520-27-2
- Primary Topic
- Advanced Thermodynamics and Statistical Mechanics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Georgia Institute of Technology