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    Por favor, use este identificador para citar o enlazar este ítem:http://uvadoc.uva.es/handle/10324/38327

    Título
    Robust Approaches for Fuzzy Clusterwise Regression Based on Trimming and Constraints
    Autor
    García Escudero, Luis ÁngelAutoridad UVA Orcid
    Gordaliza Ramos, AlfonsoAutoridad UVA Orcid
    Greselin, Francesca
    Mayo Iscar, AgustínAutoridad UVA Orcid
    Año del Documento
    2018
    Editorial
    Springer International Publishing
    Documento Fuente
    García-Escudero L.A., Gordaliza A., Greselin F., Mayo-Iscar A. (2018) Robust Approaches for Fuzzy Clusterwise Regression Based on Trimming and Constraints. In: Gil E., Gil E., Gil J., Gil M. (eds) The Mathematics of the Uncertain. Studies in Systems, Decision and Control, vol 142.
    Resumen
    Three different approaches for robust fuzzy clusterwise regression are reviewed. They are all based on the simultaneous application of trimming and constraints. The first one follows from the joint modeling of the response and explanatory variables through a normal component fitted in each cluster. The second one assumes normally distributed error terms conditional on the explanatory variables while the third approach is an extension of the Cluster Weighted Model. A fixed proportion of “most outlying” observations are trimmed. The use of appropriate constraints turns these problem into mathematically well-defined ones and, additionally, serves to avoid the detection of non-interesting or “spurious” linear clusters. The third proposal is specially appealing because it is able to protect us against outliers in the explanatory variables which may act as “bad leverage” points. Feasible and practical algorithms are outlined. Their performances, in terms of robustness, are illustrated in some simple simulated examples.
    Patrocinador
    Spanish Ministerio de Economía y Competitividad, grant MTM2017-86061-C2-1-P, and by Consejería de Educación de la Junta de Castilla y León and FEDER, grant VA005P17 and VA002G18.
    Idioma
    spa
    URI
    http://uvadoc.uva.es/handle/10324/38327
    Tipo de versión
    info:eu-repo/semantics/draft
    Derechos
    openAccess
    Aparece en las colecciones
    • DEP24 - Capítulos de monografías [7]
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