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Title:
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Choosing the most relevant level sets for depicting a sample of densities
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Author:
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Delicado Useros, Pedro Francisco; Vieu, Philippe
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Other authors:
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Universitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa; Universitat Politècnica de Catalunya. ADBD - Anàlisi de Dades Complexes per a les Decisions Empresarials |
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Abstract:
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The final publication is available at link.springer.com |
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Abstract:
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When exploring a sample composed with a set of bivariate density functions, the question of the visualisation of the data has to front with the choice of the relevant level set(s). The approach proposed in this paper consists in defining the optimal level set(s) as being the one(s) allowing for the best reconstitution of the whole density. A fully data-driven procedure is developed in order to estimate the link between the level set(s) and their corresponding density, to construct optimal level set(s) and to choose automatically the number of relevant level set(s). The method is based on recent advances in functional data analysis when both response and predictors are functional. After a wide description of the methodology, finite sample studies are presented (including both real and simulated data) while theoretical studies are reported to a final appendix. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa
-Additive functional model
-Bivariate density representation
-Functional data analysis
-Function on function regression
-Optimal level set
-Classificació AMS::90 Operations research, mathematical programming |
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Rights:
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Document type:
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Article - Submitted version
Article |
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