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

Author

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  • Kolesko, Konrad
  • Latała, Rafał

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.

Suggested Citation

  • Kolesko, Konrad & Latała, Rafał, 2015. "Moment estimates for chaoses generated by symmetric random variables with logarithmically convex tails," Statistics & Probability Letters, Elsevier, vol. 107(C), pages 210-214.
    • Handle: RePEc:eee:stapro:v:107:y:2015:i:c:p:210-214
    DOI: 10.1016/j.spl.2015.08.019
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    Cited by:

    1. Meller, Rafał, 2016. "Two-sided moment estimates for a class of nonnegative chaoses," Statistics & Probability Letters, Elsevier, vol. 119(C), pages 213-219.

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