1 citations · 2 across the 8 of their papers we have counts for
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A Lévy-Ottaviani type inequality for the Bernoulli process on an interval
Witold Bednorz, Rafał Martynek
In this paper we prove a Lévy-Ottaviani type of property for the Bernoulli process defined on an interval. Namely, we show that under certain conditions on functions $(a_i)_{i=1}^{…
On a contraction property of Bernoulli canonical processes
Witold Bednorz, Rafał Martynek
In this paper we improve Bernoulli comparison. The result works for independent Rademacher random variables and states that we can compare $\mathbb{E}\su…
Optimal uniform approximation of Lévy processes on Banach spaces with finite variation processes
W. M. Bednorz, Rafał M. Łochowski, R. Martynek
For a general càdlàg Lévy process on a separable Banach space we estimate values of $\inf_{Y\in{\cal A}_X} \mathbb{E}\left\{ ψ\left( \Vert X - Y \Vert_\infty\right) + \mathrm{T…
On tails of symmetric and totally asymmetric -stable distributions
Witold M. Bednorz, Rafał M. Łochowski, Rafał Martynek
We estimate up to universal constants tails of symmetric and totally asymmetric 1-dimensional -stable distributions in terms of functions of the parameters of these distribution…