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)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Frigessi, A.; Løland, A.; Pievatolo, A.; Ruggeri F. (literal)
Pagina inizio
  • 1081 (literal)
Pagina fine
  • 1090 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.tandfonline.com/doi/abs/10.1080/14697680903390118#.VP8FAC4YHqo (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 11 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#note
  • DOI: 10.1080/14697680903390118 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 7 (literal)
Note
  • 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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