http://www.cnr.it/ontology/cnr/individuo/prodotto/ID5390
Hausdorff moment problem via fractional moments (Articolo in rivista)
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- Label
- Hausdorff moment problem via fractional moments (Articolo in rivista) (literal)
- Anno
- 2003-01-01T00:00:00+01:00 (literal)
- Alternative label
Novi Inverardi P. (1) ,Petri A. (2), Pontuale G. (2), Tagliani A. (1) (2003)
Hausdorff moment problem via fractional moments
in Applied mathematics and computation
(literal)
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- Novi Inverardi P. (1) ,Petri A. (2), Pontuale G. (2), Tagliani A. (1) (literal)
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- ISI Web of Science (WOS) (literal)
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- (1) Faculty of Economics, Trento University, 38100 Trento, Italy
(2) CNR, Istituto di Acustica ''O.M. Corbino\", 00133 Roma, Italy (literal)
- Titolo
- Hausdorff moment problem via fractional moments (literal)
- Abstract
- We 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 underlying density, so that it turns out to be useful for calculating expected values. (literal)
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