4 papers
Small cover approach to the suprema of positive canonical processes
Witold Bednorz, RafaÅ Martynek, RafaÅ Meller
We extend the recent result of Park and Pham concerning the positive selector process to canonical processes generated by i.i.d. nonnegative random variables satisfying minimal tai…
Spectral norm of matrices with independent entries up to polyloglog
RafaÅ Meller
In this paper, we study the expectation of the operator norm of the random matrix (a_{ij} X_{ij}) for i,j <= n, under the assumption that the random variables (X_{ij}) are independ…
The suprema of selector processes with the application to positive infinitely divisible processes
Witold Bednorz, RafaÅ Martynek, RafaÅ 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…
Moments and tails of Lq-valued chaoses based on independent variables with log-concave tails
RafaÅ 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…