An Extension of the Classical Distance Correlation Coefficient for Multivariate Functional Data with Applications Cover Image

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 Wołyński
Subject(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.

  • Issue Year: 17/2016
  • Issue No: 3
  • Page Range: 449-466
  • Page Count: 18
  • Language: English