Ordered probability spaces
From MaRDI portal
Publication:2013069
DOI10.1016/j.jmaa.2017.05.046zbMath1373.60007arXiv1612.03213OpenAlexW2565414991MaRDI QIDQ2013069
Publication date: 3 August 2017
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.03213
Inequalities; stochastic orderings (60E15) Probability measures on topological spaces (60B05) Noncommutative probability and statistics (46L53) Convergence of probability measures (60B10)
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Repetition invariant geometric means ⋮ Barycentric maps for compactly supported measures ⋮ Contractive barycentric maps and \(L^{1}\) ergodic theorems on the cone of positive definite matrices ⋮ The stochastic order of probability measures on ordered metric spaces ⋮ The order properties and Karcher barycenters of probability measures on the open convex cone ⋮ Matrix-valued Jensen's inequality and its application to eigenvalue analysis ⋮ Existence and uniqueness of the Karcher mean on unital \(C^\ast\)-algebras ⋮ Convergence theorems for barycentric maps ⋮ Operator means of probability measures ⋮ Stochastic order on metric spaces and the ordered Kantorovich monad ⋮ Strong law of large numbers for the \(L^1\)-Karcher mean
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