• DocumentCode
    13402
  • Title

    A Characterization of the Orthogonal Grid Constructions of Copulas

  • Author

    Fernandez Sanchez, Juan ; Ubeda-Flores, Manuel

  • Author_Institution
    Grupo de Investig. de Analisis Matematico, Univ. de Almeria, Almeria, Spain
  • Volume
    22
  • Issue
    4
  • fYear
    2014
  • fDate
    Aug. 2014
  • Firstpage
    1045
  • Lastpage
    1047
  • Abstract
    A framework for constructing copulas that can be regarded as a patchwork-like assembly of arbitrary copulas, with nonoverlapping rectangles as patches, is studied in [B. De Baets and H. De Meyer, “Orthogonal grid constructions of copulas,” IEEE Trans. Fuzzy Syst., vol. 15, no. 6, pp. 1053-1062, Dec. 2007], where the authors provide sufficient conditions to derive a family of construction methods. Our aim in this paper is to provide a characterization of such constructions.
  • Keywords
    statistics; arbitrary copula patchwork-like assembly; construction methods; nonoverlapping rectangles; orthogonal grid copula constructions; sufficient conditions; Additives; Assembly; Decision making; Finance; Fuzzy logic; Fuzzy sets; Random variables; 2-increasing; Copula; orthogonal grid construction;
  • fLanguage
    English
  • Journal_Title
    Fuzzy Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1063-6706
  • Type

    jour

  • DOI
    10.1109/TFUZZ.2013.2282398
  • Filename
    6601691