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

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

2004-11-27

arxiv.org/abs/math/0411614v1

Mathematics

Probability

18 pages

Scientific paper

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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