Jensen's inequality for the Tukey median

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.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.identifier.uri	http://hdl.handle.net/2003/24309
dc.identifier.uri	http://dx.doi.org/10.17877/DE290R-264
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
eldorado.dnb.deposit	true

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