English

Hadamard products and moments of random vectors

Probability 2021-06-08 v1 Functional Analysis

Abstract

We derive new comparison inequalities between weak and strong moments of norms of random vectors with optimal (up to an universal factor) constants. We discuss applications to the concentration of log-concave random vectors and bounds on pp-summing norms of finite rank operators.

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Cite

@article{arxiv.1907.09812,
  title  = {Hadamard products and moments of random vectors},
  author = {Rafał Latała and Piotr Nayar},
  journal= {arXiv preprint arXiv:1907.09812},
  year   = {2021}
}

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9 pages