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  • 2003Book Chapter
    [["dc.bibliographiccitation.firstpage","123"],["dc.bibliographiccitation.lastpage","137"],["dc.contributor.author","Freitag, Gudrun"],["dc.contributor.author","Munk, Axel"],["dc.contributor.author","Vogt, Majbritt"],["dc.contributor.editor","Akritas, Michael G."],["dc.contributor.editor","politis, dimitris"],["dc.date.accessioned","2017-09-07T11:53:21Z"],["dc.date.available","2017-09-07T11:53:21Z"],["dc.date.issued","2003"],["dc.description.abstract","We suggest diagnostic tools for the assessment of shape similarity of distributions, i.e. whether several distributions are equal up to a pre-specified semiparametric deviation, such as a simple shift in location or a scale deviation. This will be called a structural relationship between distributions, and it is of importance, for instance, in an initial analysis within the (nonparametric) analysis of variance. Our approach is based on a modification of a trimmed version of Mallows distance between distribution functions. Asymptotic theory for the corresponding test statistics is provided and a bootstrap limit theorem is shown. In particular, the case of dependent samples is covered as well. A simulation study reveals the bias corrected and accelerated bootstrap as an adequate method for the assessment of shape similar distributions. A medical application is discussed."],["dc.identifier.doi","10.1016/b978-044451378-6/50009-0"],["dc.identifier.gro","3145075"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/2771"],["dc.language.iso","en"],["dc.notes.intern","Crossref Import"],["dc.notes.status","zu prüfen"],["dc.publisher","Elsevier B.V."],["dc.publisher.place","Amsterdam"],["dc.relation.isbn","978-0-44451-378-6"],["dc.relation.isbn","978-0-444-51378-6"],["dc.relation.ispartof","Recent Advances and Trends in Nonparametric Statistics"],["dc.title","Assessing structural relationships between distributions - a quantile process approach based on Mallows distance"],["dc.type","book_chapter"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]
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