• Login
    View Item 
    •   UCrea
    • UCrea Investigación
    • Departamento de Matemáticas, Estadística y Computación
    • D21 Artículos
    • View Item
    •   UCrea
    • UCrea Investigación
    • Departamento de Matemáticas, Estadística y Computación
    • D21 Artículos
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    A Topologically Valid Definition of Depth for Functional Data

    View/Open
    A topological valid ... (258.9Kb)
    Identificadores
    URI: http://hdl.handle.net/10902/9546
    DOI: 10.1214/15-STS532
    ISSN: 0883-4237
    ISSN: 2168-8745
    Compartir
    RefworksMendeleyBibtexBase
    Estadísticas
    View Usage Statistics
    Google Scholar
    Full record
    Show full item record
    Author
    Nieto Reyes, AliciaAutoridad Unican; Battey, Heather
    Date
    2016-02-10
    Publicado en
    Statistical Science, Vol. 31, Num. 1 (2016), P. 61-79.
    Publisher
    Institute of Mathematical Statistics (IMS)
    Enlace a la publicación
    http://dx.doi.org/10.1214/15-STS532
    Abstract:
    The main focus of this work is on providing a formal definition of statistical depth for functional data on the basis of six properties, recognising topological features such as continuity, smoothness and contiguity. Amongst our depth defining properties is one that addresses the delicate challenge of inherent partial observability of functional data, with fulfillment giving rise to a minimal guarantee on the performance of the empirical depth beyond the idealised and practically infeasible case of full observability. As an incidental product, functional depths satisfying our definition achieve a robustness that is commonly ascribed to depth, despite the absence of a formal guarantee in the multivariate definition of depth. We demonstrate the fulfillment or otherwise of our properties for six widely used functional depth proposals, thereby providing a systematic basis for selection of a depth function.
    Collections to which it belong
    • D21 Artículos [232]

    UNIVERSIDAD DE CANTABRIA

    Repositorio realizado por la Biblioteca Universitaria utilizando DSpace software
    Contact Us | Send Feedback
    Metadatos sujetos a:licencia de Creative Commons Reconocimiento 3.0 España
     

     

    Browse

    All of UCreaCommunities and CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    LoginRegister

    Statistics

    View Usage Statistics
    About UCrea
    What is UcreaGuide of self-archivingThesis archiveOpen accessCopyright guideInstitutional policy
    Thinks in open
    Piensa en abierto
    Share

    UNIVERSIDAD DE CANTABRIA

    Repositorio realizado por la Biblioteca Universitaria utilizando DSpace software
    Contact Us | Send Feedback
    Metadatos sujetos a:licencia de Creative Commons Reconocimiento 3.0 España