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Abstract Details

Activity Number: 335
Type: Contributed
Date/Time: Tuesday, July 31, 2012 : 10:30 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #306619
Title: Dependence Measures for Functional Observations
Author(s): Juan Romo*+ and Rosa E. Lillo and Dalia Valencia
Companies: Universidad Carlos III de Madrid and Universidad Carlos III de Madrid and Universidad Carlos III de Madrid
Address: Madrid, 126, 28903 Getafe, Madrid, _, , Spain
Keywords: Functional data ; Kendall's coefficient
Abstract:

Measuring dependence is a basic question when dealing with functional observations. Kendall's coefficient is a natural description of dependence between random variables. We extend this concept to functional data. Given a bivariate sample of functions, a robust analysis of dependence can be carried out through the functional version of Kendall correlation coefficient introduced in this talk. We also study its statistical properties and provide several applications to both simulated and real data, including asset portfolios in finance.


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