Hierarchically nested factor model from multivariate data

Risultato della ricerca: Articlepeer review

39 Citazioni (Scopus)

Abstract

We show how to achieve a statistical description of the hierarchical structure of a multivariate data set. Specifically, we show that the similarity matrix resulting from a hierarchical clustering procedure is the correlation matrix of a factor model, the hierarchically nested factor model. In this model, factors are mutually independent and hierarchically organized. Finally, we use a bootstrap-based procedure to reduce the number of factors in the model with the aim of retaining only those factors significantly robust with respect to the statistical uncertainty due to the finite length of data records.
Lingua originaleEnglish
pagine (da-a)30006-p1-30006-p6
Numero di pagine6
RivistaEurophysics Letters
Volume78
Stato di pubblicazionePublished - 2007

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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