Functional data are usually assumed to be observed on a common domain. However, it is often the case that some portion of the functional data is missing for some statistical unit, invalidating most of the existing techniques for functional data analysis. The development of methods able to handle partially observed or incomplete functional data is currently attracting increasing interest. We here briefly review this literature. We then focus on discrimination based on principal component analysis and illustrate a few possible methods via simulation studies and an application to the AneuRisk65 data set. We show that carrying out the analysis over the full domain, where at least one of the functional data is observed, may not be the optimal choice for classification purposes.

PCA-based discrimination of partially observed functional data, with an application to Aneurisk65 dataset / Stefanucci, Marco; Sangalli, Laura M.; Brutti, Pierpaolo. - In: STATISTICA NEERLANDICA. - ISSN 0039-0402. - ELETTRONICO. - 72:3(2018), pp. 1-246. [10.1111/stan.12137]

PCA-based discrimination of partially observed functional data, with an application to Aneurisk65 dataset

STEFANUCCI, MARCO
;
Pierpaolo Brutti
2018

Abstract

Functional data are usually assumed to be observed on a common domain. However, it is often the case that some portion of the functional data is missing for some statistical unit, invalidating most of the existing techniques for functional data analysis. The development of methods able to handle partially observed or incomplete functional data is currently attracting increasing interest. We here briefly review this literature. We then focus on discrimination based on principal component analysis and illustrate a few possible methods via simulation studies and an application to the AneuRisk65 data set. We show that carrying out the analysis over the full domain, where at least one of the functional data is observed, may not be the optimal choice for classification purposes.
2018
discrimination; functional PCA; partially observed data
01 Pubblicazione su rivista::01a Articolo in rivista
PCA-based discrimination of partially observed functional data, with an application to Aneurisk65 dataset / Stefanucci, Marco; Sangalli, Laura M.; Brutti, Pierpaolo. - In: STATISTICA NEERLANDICA. - ISSN 0039-0402. - ELETTRONICO. - 72:3(2018), pp. 1-246. [10.1111/stan.12137]
File allegati a questo prodotto
File Dimensione Formato  
Stefanucci_PCA-based-discrimination_2018.pdf

solo gestori archivio

Tipologia: Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 3.44 MB
Formato Adobe PDF
3.44 MB Adobe PDF   Contatta l'autore

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1107977
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 11
  • ???jsp.display-item.citation.isi??? 10
social impact