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math.PR2022
The suprema of selector processes with the application to positive infinitely divisible processes
Witold Bednorz, Rafał Martynek, Rafał Meller
We provide an alternative proof of the recent result by Park and Pham (2022) on the expected suprema of positive selector and empirical processes. We extend it to positive infinite…
math.PR2022
Moments and tails of Lq-valued chaoses based on independent variables with log-concave tails
Rafał Meller
We derive a lower bound for moments of random chaoses of order two with coefficients in arbitrary Banach space F generated by independent symmetric random variables with logarithmi…