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Exact Constants in the Rosenthal Moment Inequalities for Sums of independent centered Random Variables

B. Naimark·E. Ostrovsky
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Abstract

We study the exact constants in the moment inequalities for sums of centered independent random variables: improve their asymptotics, low and upper bounds, calculate more exact asymptotics, elaborate the numerical algorithm for their calculation, study the class of smoothing etc.

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B. Naimark, E. Ostrovsky. 2004-11-27. Exact Constants in the Rosenthal Moment Inequalities for Sums of independent centered Random Variables. https://arxiv.org/abs/math/0411614

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