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The suprema of selector processes with the application to positive infinitely divisible processes

Witold Bednorz, Rafał Martynek, Rafał Meller Studia Mathematica MSC: Primary 60G15; Secondary 60G17 DOI: 10.4064/sm250520-27-2 Opublikowany online: 19 September 2026

Streszczenie

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.

Autorzy

  • Witold BednorzInstitute of Mathematics
    University of Warsaw
    02-097 Warszawa, Poland
    e-mail
  • Rafał MartynekInstitute of Mathematics
    University of Warsaw
    02-097 Warszawa, Poland
    e-mail
  • Rafał MellerInstitute of Mathematics
    University of Warsaw
    02-097 Warszawa, Poland
    and
    Institute of Mathematics
    Polish Academy of Sciences
    00-656 Warszawa, Poland
    e-mail

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