Gather, UrsulaKwiecien, Robert2007-05-252007-05-252007-05-25http://hdl.handle.net/2003/2430910.17877/DE290R-264Jensen'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).enJensen's inequalityMultivariate medianRobustnessTukey depth004report