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Moment estimates for chaoses generated by symmetric random variables with logarithmically convex tails

Probability 2016-04-05 v1

Abstract

We derive two-sided estimates for random multilinear forms (random chaoses) generated by independent symmetric random variables with logarithmically concave tails. Estimates are exact up to multiplicative constants depending only on the order of chaos.

Keywords

Cite

@article{arxiv.1508.07541,
  title  = {Moment estimates for chaoses generated by symmetric random variables with logarithmically convex tails},
  author = {Konrad Kolesko and Rafał Latała},
  journal= {arXiv preprint arXiv:1508.07541},
  year   = {2016}
}

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8 pages