Jensen's inequality for medians

DOI10.1016/j.spl.2004.11.010zbMath1074.60023OpenAlexW2010276956WikidataQ56051047 ScholiaQ56051047MaRDI QIDQ2483843

Milan J. Merkle

Publication date: 1 August 2005

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2004.11.010

zbMATH Keywords

probability distributionmultivariate medianJensen's inequality for \(n\)-dimensionsnovel characterization of median

Mathematics Subject Classification ID

Multivariate analysis (62H99) Inequalities; stochastic orderings (60E15) Statistical distribution theory (62E99)

Related Items (9)

Generalized expectation with general kernels on g-semirings and its applications ⋮ Construction-Free Median Quasi-Monte Carlo Rules for Function Spaces with Unspecified Smoothness and General Weights ⋮ Conditional quantiles: an operator-theoretical approach ⋮ A Universal Median Quasi-Monte Carlo Integration ⋮ Jensen's inequality for multivariate medians ⋮ Median Aggregation of Distribution Functions ⋮ A refined Jensen's inequality in Hilbert spaces and empirical approximations ⋮ Approximate calculation of Tukey's depth and median with high-dimensional data ⋮ Quantile Jensen's inequalities

Cites Work

• On a transformation and re-transformation technique for constructing an affine equivariant multivariate median
• Analytic Inequalities
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