An Extension of the Classical Distance Correlation Coefficient for Multivariate Functional Data with Applications
An Extension of the Classical Distance Correlation Coefficient for Multivariate Functional Data with Applications
Author(s): Tomasz Górecki, Mirosław Krzyśko, Waldemar Ratajczak, Waldemar WołyńskiSubject(s): Economy
Published by: Główny Urząd Statystyczny
Keywords: multivariate functional data;functional data analysis;correlation analysis
Summary/Abstract: The relationship between two sets of real variables defined for the same individualscan be evaluated by a few different correlation coefficients. For the functional datawe have one important tool: canonical correlations. It is not immediately straightforwardto extend other similar measures to the context of functional data analysis.In this work we show how to use the distance correlation coefficient for a multivariatefunctional case.The approaches discussed are illustrated with an application to some socio-economicdata.
Journal: Statistics in Transition. New Series
- Issue Year: 17/2016
- Issue No: 3
- Page Range: 449-466
- Page Count: 18
- Language: English