On multiplier processes under weak moment assumptions
Mendelson, Shahar
Original · EN
We show that if V ⊂ ⁿ satisfies a certain symmetry condition (closely related to unconditionaity) and if X is an isotropic random vector for which X,tₗₚ ≤ L √p for every t ∈ Sⁿ⁻¹ and p n, then the corresponding empirical and multiplier processes indexed by V behave as if X were L-subgaussian.
English translation
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