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math.PRJun 25, 2014
18
citations (OpenAlex)
authors
  • Rafał Latała
  • Tomasz Tkocz
institutions
  • University of Warsaw
  • University of Warwick
arXiv abstractPDF
paper

A note on suprema of canonical processes based on random variables with regular moments

arXiv:1406.6584 · doi:10.1214/EJP.v20-3625

Abstract

We derive two-sided bounds for expected values of suprema of canonical processes based on random variables with moments growing regularly. We also discuss a Sudakov-type minoration principle for canonical processes.

19 pages

References in corpus (2)

  • Sudakov-type minoration for log-concave vectors
  • On the boundedness of Bernoulli processes

Cited by in corpus (9)

  • Sudakov-type minoration for log-concave vectors
  • Comparison of weak and strong moments for vectors with independent coordinates
  • Suprema of canonical Weibull processes
  • Upper bounds on product and multiplier empirical processes
  • On the convex infimum convolution inequality with optimal cost function
  • Chevet-type inequalities for subexponential Weibull variables and estimates for norms of random matrices
  • Two-sided moment estimates for a class of nonnegative chaoses
  • Generalized Dual Sudakov Minoration via Dimension Reduction - A Program
  • Estimates of norms of log-concave random matrices with dependent entries
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