Exact Estimates for Moments of Random Bilinear Forms

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dc.creatorIbragimov, R.
dc.creatorSharakhmetov, Sh.
dc.creatorCecen, A.
dc.date1999-09-20
dc.date2000-11-25
dc.date.accessioned2026-07-07T05:30:49Z
dc.date.available2026-07-07T05:30:49Z
dc.descriptionThe present paper concentrates on the analogues of Rosenthal's inequalities for ordinary and decoupled bilinear forms in symmetric random variables. More specifically, we prove the exact moment inequalities for these objects in terms of moments of their individual components. As a corollary of these results we obtain the explicit expressions for the best constant in the analogues of Rosenthal's inequality for ordinary and decoupled bilinear forms in identically distributed symmetric random variables in the case of the fixed number of random variables.
dc.description28 pages; To be published in the Journal of Theoretical Probability; minor changes have been made
dc.identifierhttps://arxiv.org/abs/math/9909111
dc.identifierhttp://arxiv.org/abs/math/9909111
dc.identifierJournal of Theoretical Probability, 2001, Vol. 14, No. 1, pp. 21-37
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79122
dc.subjectProbability
dc.subjectFunctional Analysis
dc.subjectPrimary 60E15, 60F25, 60G50
dc.titleExact Estimates for Moments of Random Bilinear Forms
dc.typetext

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