A copula-based nonparametric measure of regression dependence

dc.contributor.authorDette, Holger
dc.contributor.authorSiburg, Karl Friedrich
dc.contributor.authorStoimenov, Pavel A.
dc.date.accessioned2010-02-16T09:23:15Z
dc.date.available2010-02-16T09:23:15Z
dc.date.issued2010-02-16T09:23:15Z
dc.description.abstractThis paper presents a framework for comparing bivariate distributions according to their degree of regression dependence. We introduce the general concept of a regression dependence order (RDO). In addition, we de fine a new nonparametric measure of regression dependence and study its properties. Beside being monotone in the new RDOs, the measure takes on its extreme values precisely at independence and almost sure functional dependence, respectively. A consistent nonparametric estimator of the new measure is constructed and its asymptotic properties are investigated. Finally, the finite sample properties of the estimate are studied by means of small simulation study.en
dc.identifier.urihttp://hdl.handle.net/2003/26707
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-15903
dc.language.isoende
dc.relation.ispartofseriesDiscussion Paper / SFB 823;05/2010
dc.subject.ddc310
dc.subject.ddc330
dc.subject.ddc620
dc.titleA copula-based nonparametric measure of regression dependenceen
dc.typeTextde
dc.type.publicationtypereportde
dcterms.accessRightsopen access

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