http://www.cnr.it/ontology/cnr/individuo/prodotto/ID31526
Statistical rehabilitation of improper correlation matrices (Articolo in rivista)
- Type
- Label
- Statistical rehabilitation of improper correlation matrices (Articolo in rivista) (literal)
- Anno
- 2011-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1080/14697680903390118 (literal)
- Alternative label
Frigessi, A.; Løland, A.; Pievatolo, A.; Ruggeri F. (2011)
Statistical rehabilitation of improper correlation matrices
in Quantitative finance (Print); TAYLOR & FRANCIS LTD, 4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON (Regno Unito)
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- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Frigessi, A.; Løland, A.; Pievatolo, A.; Ruggeri F. (literal)
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- http://www.tandfonline.com/doi/abs/10.1080/14697680903390118#.VP8FAC4YHqo (literal)
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- Rivista
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- DOI: 10.1080/14697680903390118 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
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- Scopu (literal)
- ISI Web of Science (WOS) (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
- Università di Oslo; Norwegian Computing Centre; IMATI-CNR; IMATI-CNR (literal)
- Titolo
- Statistical rehabilitation of improper correlation matrices (literal)
- Abstract
- The simplest way to describe the dependence for a set of financial assets is their correlation matrix. This correlation matrix can be improper when it is specified element-wise. We describe a new method for obtaining a positive definite correlation matrix starting from an improper one. The expert's opinion and trust in each pairwise correlation is described by a beta distribution. Then, by combining these individual distributions, a joint distribution over the space of positive definite correlation matrices is obtained using Cholesky factorization, and its mode constitutes the new proper correlation matrix. The optimization is complemented by a visual representation of the entries that were most affected by the legalization procedure. We also sketch a Bayesian approach to the same problem. (literal)
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