The optimal order for the p-th moment of sums of independent random variables with respect to symmetric norms and related combinatorial estimates

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dc.creatorJunge, Marius
dc.date2002-09-20
dc.date2002-10-02
dc.date.accessioned2026-07-07T04:51:06Z
dc.date.available2026-07-07T04:51:06Z
dc.descriptionWe calculate the p-the moment of the sum of n independent random variables with respect to symmetric norm in R^n. The order of growth for upper bound p/ln p obtained in ths estimate is optimal. The result extends to generalized Lorentz spaces l_{f,w} under mild assumptions on f. Indeed, the key combinatorial estimate is obtained for the weak l_1 (l_{1,infinity})-norm. Similar results have been obtained independently by Gordon, Litvak, Schuett and Werner for Orlicz norms and by Montgomery-Smith using different techniques and avoiding the combinatorial estimate.
dc.identifierhttps://arxiv.org/abs/math/0209278
dc.identifierhttp://arxiv.org/abs/math/0209278
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65024
dc.subjectProbability
dc.subjectOperator Algebras
dc.subject46B09,60G50, 60C05, 47L20
dc.titleThe optimal order for the p-th moment of sums of independent random variables with respect to symmetric norms and related combinatorial estimates
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