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Exact Rosenthal-type inequalities for p=3, and related results

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  • Pinelis, Iosif

Abstract

An exact Rosenthal-type inequality for the third absolute moments is given, as well as a number of related results. Such results are useful in applications to Berry–Esseen bounds.

Suggested Citation

  • Pinelis, Iosif, 2013. "Exact Rosenthal-type inequalities for p=3, and related results," Statistics & Probability Letters, Elsevier, vol. 83(12), pages 2634-2637.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:12:p:2634-2637
    DOI: 10.1016/j.spl.2013.08.012
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    1. Tyurin, I.S., 2012. "Some optimal bounds in the central limit theorem using zero biasing," Statistics & Probability Letters, Elsevier, vol. 82(3), pages 514-518.
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