Jensen's inequality for medians
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We prove an analogue of Jensen's inequality, with medians instead of means. A novel definition of a median is given, which allows a natural extension to higher dimensions.
[1] Probal Chaudhuri,et al. On a transformation and re-transformation technique for constructing an affine equivariant multivariate median , 1996 .
[2] Eric Schechter,et al. Handbook of Analysis and Its Foundations , 1996 .
[3] S. Basu,et al. The Mean, Median, and Mode of Unimodal Distributions:A Characterization , 1997 .
[4] C. Small. A Survey of Multidimensional Medians , 1990 .
[5] W. Chan,et al. Unimodality, convexity, and applications , 1989 .