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On Multiplier Processes Under Weak Moment Assumptions

Date

Authors

Mendelson, Shahar

Publisher

Springer

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 ∥⟨X,t⟩∥Lp≤Lp–√ for every t ∈ Sn−1 and every 1≤p≲logn , then the suprema of the corresponding empirical and multiplier processes indexed by V behave as if X were L-subgaussian.

Keywords

Random Vector, Linear Functional, Independent Copy, Isotropic Vector, Bernoulli Process

URI

http://hdl.handle.net/1885/303376

Collections

ANU Research Publications

Type

Book Title

Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2014–2016

DOI

10.1007/978-3-319-45282-1_19

Restricted until

2099-12-31

Downloads

File

Description

978-3-319-45282-1_19.pdf (257.17 KB)

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