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Optimal level sets for bivariate density representation

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Τίτλος: Optimal level sets for bivariate density representation
Συγγραφείς: Delicado Useros, Pedro Francisco, Vieu, Philippe
Συνεισφορές: Universitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa, Universitat Politècnica de Catalunya. ADBD - Anàlisi de Dades Complexes per a les Decisions Empresarials
Πηγή: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname
Στοιχεία εκδότη: Elsevier BV, 2015.
Έτος έκδοσης: 2015
Θεματικοί όροι: 2. Zero hunger, Àrees temàtiques de la UPC::Matemàtiques i estadística, 05 social sciences, Matemàtiques i estadística [Àrees temàtiques de la UPC], Minimum distance estimation, Nonparametric-estimation, 16. Peace & justice, 01 natural sciences, Error, 62 Statistics::62G Nonparametric inference [Classificació AMS], Functional data analysis, Nonparametric density estimation, 0502 economics and business, Classificació AMS::62 Statistics::62G Nonparametric inference, 0101 mathematics, Bivariate density representation, Multidimensional scaling
Περιγραφή: In bivariate density representation there is an extensive literature on level set estimation when the level is fixed, but this is not so much the case when choosing which level is (or which levels are) of most interest. This is an important practical question which depends on the kind of problem one has to deal with as well as the kind of feature one wishes to highlight in the density, the answer to which requires both the definition of what the optimal level is and the construction of a method for finding it. We consider two scenarios for this problem. The first one corresponds to situations in which one has just a single density function to be represented. However, as a result of the technical progress in data collecting, problems are emerging in which one has to deal with a sample of densities. In these situations, the need arises to develop joint representation for all these densities, and this is the second scenario considered in this paper. For each case, we provide consistency results for the estimated levels and present wide Monte Carlo simulated experiments illustrating the interest and feasibility of the proposed method. (C) 2015 Elsevier Inc. All rights reserved.
Τύπος εγγράφου: Article
Περιγραφή αρχείου: application/pdf
Γλώσσα: English
ISSN: 0047-259X
DOI: 10.1016/j.jmva.2015.04.005
DOI: 10.13039/501100004837
DOI: 10.13039/501100003329
Σύνδεσμος πρόσβασης: https://upcommons.upc.edu/bitstream/2117/86017/1/DensLevSets-2014-JMVA-Rev1.pdf
http://hdl.handle.net/2117/86017
https://upcommons.upc.edu/handle/2117/86017
http://upcommons.upc.edu/bitstream/2117/86017/1/DensLevSets-2014-JMVA-Rev1.pdf
https://ideas.repec.org/a/eee/jmvana/v140y2015icp1-18.html
https://www.sciencedirect.com/science/article/pii/S0047259X15000937
https://dblp.uni-trier.de/db/journals/ma/ma140.html#DelicadoV15
https://upcommons.upc.edu/bitstream/2117/86017/1/DensLevSets-2014-JMVA-Rev1.pdf
Rights: Elsevier Non-Commercial
CC BY NC ND
Αριθμός Καταχώρησης: edsair.doi.dedup.....d9d40f3a11a639b1dec8dbca8eda5ea7
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  Data: Optimal level sets for bivariate density representation
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  Data: Universitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa<br />Universitat Politècnica de Catalunya. ADBD - Anàlisi de Dades Complexes per a les Decisions Empresarials
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  Data: <searchLink fieldCode="DE" term="%222%2E+Zero+hunger%22">2. Zero hunger</searchLink><br /><searchLink fieldCode="DE" term="%22Àrees+temàtiques+de+la+UPC%3A%3AMatemàtiques+i+estadística%22">Àrees temàtiques de la UPC::Matemàtiques i estadística</searchLink><br /><searchLink fieldCode="DE" term="%2205+social+sciences%22">05 social sciences</searchLink><br /><searchLink fieldCode="DE" term="%22Matemàtiques+i+estadística+[Àrees+temàtiques+de+la+UPC]%22">Matemàtiques i estadística [Àrees temàtiques de la UPC]</searchLink><br /><searchLink fieldCode="DE" term="%22Minimum+distance+estimation%22">Minimum distance estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Nonparametric-estimation%22">Nonparametric-estimation</searchLink><br /><searchLink fieldCode="DE" term="%2216%2E+Peace+%26+justice%22">16. Peace & justice</searchLink><br /><searchLink fieldCode="DE" term="%2201+natural+sciences%22">01 natural sciences</searchLink><br /><searchLink fieldCode="DE" term="%22Error%22">Error</searchLink><br /><searchLink fieldCode="DE" term="%2262+Statistics%3A%3A62G+Nonparametric+inference+[Classificació+AMS]%22">62 Statistics::62G Nonparametric inference [Classificació AMS]</searchLink><br /><searchLink fieldCode="DE" term="%22Functional+data+analysis%22">Functional data analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Nonparametric+density+estimation%22">Nonparametric density estimation</searchLink><br /><searchLink fieldCode="DE" term="%220502+economics+and+business%22">0502 economics and business</searchLink><br /><searchLink fieldCode="DE" term="%22Classificació+AMS%3A%3A62+Statistics%3A%3A62G+Nonparametric+inference%22">Classificació AMS::62 Statistics::62G Nonparametric inference</searchLink><br /><searchLink fieldCode="DE" term="%220101+mathematics%22">0101 mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Bivariate+density+representation%22">Bivariate density representation</searchLink><br /><searchLink fieldCode="DE" term="%22Multidimensional+scaling%22">Multidimensional scaling</searchLink>
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  Data: In bivariate density representation there is an extensive literature on level set estimation when the level is fixed, but this is not so much the case when choosing which level is (or which levels are) of most interest. This is an important practical question which depends on the kind of problem one has to deal with as well as the kind of feature one wishes to highlight in the density, the answer to which requires both the definition of what the optimal level is and the construction of a method for finding it. We consider two scenarios for this problem. The first one corresponds to situations in which one has just a single density function to be represented. However, as a result of the technical progress in data collecting, problems are emerging in which one has to deal with a sample of densities. In these situations, the need arises to develop joint representation for all these densities, and this is the second scenario considered in this paper. For each case, we provide consistency results for the estimated levels and present wide Monte Carlo simulated experiments illustrating the interest and feasibility of the proposed method. (C) 2015 Elsevier Inc. All rights reserved.
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      – SubjectFull: 2. Zero hunger
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      – TitleFull: Optimal level sets for bivariate density representation
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