Hausdorff moment problem via fractional moments

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dc.creatorInverardi, Pierluigi Novi
dc.creatorPetri, Alberto
dc.creatorPontuale, Giorgio
dc.creatorTagliani, Aldo
dc.date2002-07-10
dc.date.accessioned2026-07-07T05:47:49Z
dc.date.available2026-07-07T05:47:49Z
dc.descriptionWe outline an efficient method for the reconstruction of a probability density function from the knowledge of its infinite sequence of ordinary moments. The approximate density is obtained resorting to maximum entropy technique, under the constraint of some fractional moments. The latter ones are obtained explicitly in terms of the infinite sequence of given ordinary moments. It is proved that the approximate density converges in entropy to the underlying density, so that it demonstrates to be useful for calculating expected values.
dc.identifierhttps://arxiv.org/abs/physics/0207041
dc.identifierhttp://arxiv.org/abs/physics/0207041
dc.identifierApp. Math. and Comp. 144 (2003), 61-74.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/84799
dc.subjectData Analysis, Statistics and Probability
dc.subjectStatistical Mechanics
dc.subjectComputational Physics
dc.titleHausdorff moment problem via fractional moments
dc.typetext

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