Sharp asymptotics for q-norms of random vectors in high-dimensional ℓpn-balls

Sharp large deviation results of Bahadur–Ranga Rao type are provided for the q-norm of random vectors distributed on the ${\ell _{p}^{n}}$-ball ${\mathbb{B}_{p}^{n}}$ according to the cone probability measure or the uniform distribution for $1\le q<p<\infty $, thereby furthering previous large...

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Bibliographic Details
Main Author: Tom Kaufmann
Format: Article
Language:English
Published: VTeX 2021-06-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://www.vmsta.org/doi/10.15559/21-VMSTA182