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arxiv: math/0411614 · v1 · submitted 2004-11-27 · 🧮 math.PR

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

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keywords exactasymptoticscenteredconstantsindependentinequalitiesmomentrandom
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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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