Spatial functional principal component analysis and its application in diagnostics

Veröffentlichung
2011-06-30Dissertation
Autoren
Winzenborg, Insa
Fakultäten
Fakultät für Mathematik und WirtschaftswissenschaftenZusammenfassung
In this thesis the nonparametric functional principal component analysis is extended to spatial data. The estimation is implemented in an R package and the implementation is evaluated comparing estimated eigenfunctions of realizations of a Wiener process to the theoretic ones. Furthermore, consistency results for the estimators are derived theoretically. Both, the one- and the two-dimensional method are used to evaluate several real data examples from the medical field, especially diagnostics.
Erstellung / Fertigstellung
2011
Normierte Schlagwörter
Komponentenanalyse [GND]Psychologische Diagnostik [GND]
Principal components analysis [LCSH]
Schlagwörter
Functional data analysis; Spatial statisticsDDC-Sachgruppe
DDC 510 / MathematicsMetadata
Zur LanganzeigeZitiervorlage
Winzenborg, Insa (2011): Spatial functional principal component analysis and its application in diagnostics. Open Access Repositorium der Universität Ulm. Dissertation. http://dx.doi.org/10.18725/OPARU-1802