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ICDM
2006
IEEE

A Probability Distribution Of Functional Random Variable With A Functional Data Analysis Application

13 years 9 months ago
A Probability Distribution Of Functional Random Variable With A Functional Data Analysis Application
Probability distributions are central tools for probabilistic modeling in data mining, and they lack in functional data analysis (FDA). In this paper we propose a probability distribution law for functional data. We build it using jointly the Quasi-arithmetic means and the generators of Archimedean copulas. We also define a density adapted to the infinite dimension of the space of functional data. For this we use the Gˆateaux differential. We illustrate the utility of this tool in FDA, applying it in a mixture decomposition classification.
Etienne Cuvelier, Monique Noirhomme-Fraiture
Added 11 Jun 2010
Updated 11 Jun 2010
Type Conference
Year 2006
Where ICDM
Authors Etienne Cuvelier, Monique Noirhomme-Fraiture
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