The suprema of selector processes with the application to positive infinitely divisible processes
Volume 291 / 2026
Studia Mathematica 291 (2026), 57-93
MSC: Primary 60G15; Secondary 60G17
DOI: 10.4064/sm250520-27-2
Published online: 19 September 2026
Abstract
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.
