Jensen's inequality for the Tukey median

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DC Field	Value	Language
dc.contributor.author	Gather, Ursula	-
dc.contributor.author	Kwiecien, Robert	-
dc.date.accessioned	2007-05-25T10:39:02Z	-
dc.date.available	2007-05-25T10:39:02Z	-
dc.date.issued	2007-05-25T10:39:02Z	-
dc.identifier.uri	http://hdl.handle.net/2003/24309	-
dc.identifier.uri	http://dx.doi.org/10.17877/DE290R-264	-
dc.description.abstract	Jensen's inequality states for a random variable X with values in Rd and existing expectation and for any convex function f : R^d -> R, that f(E(X)) <= E(f(X)). We prove an analogous inequality, where the expectation operator is replaced by the halfspace-median-operator (or Tukey-median-operator).	en
dc.language.iso	en	de
dc.subject	Jensen's inequality	en
dc.subject	Multivariate median	en
dc.subject	Robustness	en
dc.subject	Tukey depth	en
dc.subject.ddc	004	-
dc.title	Jensen's inequality for the Tukey median	en
dc.type	Text	de
dc.type.publicationtype	report	en
dcterms.accessRights	open access	-
Appears in Collections:	Sonderforschungsbereich (SFB) 475

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