On multiplier processes underweak moment assumptions

Shahar Mendelson*

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

    13 Citations (Scopus)

    Abstract

    We show that if V ⊂ ℝn satisfies a certain symmetry condition that is closely related to unconditionality, and if X is an isotropic random vector for which (Formula presented) for every t ∈ Sn−1 and every 1 ≤ P ≲ log n, then the suprema of the corresponding empirical and multiplier processes indexed by V behave as if X were L-subgaussian.

    Original languageEnglish
    Title of host publicationLecture Notes in Mathematics
    PublisherSpringer Verlag
    Pages301-318
    Number of pages18
    DOIs
    Publication statusPublished - 2017

    Publication series

    NameLecture Notes in Mathematics
    Volume2169
    ISSN (Print)0075-8434

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