La multi-application m�dianes conditionnelles

DOI10.1007/BF00535005zbMath0572.60013MaRDI QIDQ3689923

Michel Valadier

Publication date: 1984

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

conditional median multifunctionselectors of a measurable multifunction

Mathematics Subject Classification ID

Probability theory on algebraic and topological structures (60B99)

Related Items (12)

Convergent estimators for the l₁-median of banach valued random variable ⋮ Uniform consistency of r-means ⋮ Median balls: An extension of the interquantile intervals to multivariate distributions ⋮ Conditional quantiles: an operator-theoretical approach ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ The deepest point for distributions in infinite dimensional spaces ⋮ Note on the spatial quantile of a random vector ⋮ A counterexample on the existence of the \(L_ 1\)-median ⋮ The spatial distribution in infinite dimensional spaces and related quantiles and depths ⋮ Stability of conditional median under discretization of filtrations ⋮ Applications of the method of compactness and decomposition: minimization, convergence of martingales, multivalued Fatou lemma ⋮ Lp approximation of variational problems in L1 and L∞

Cites Work

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• Convex analysis and measurable multifunctions
• Best approximants in L 1 space
• Almost everywhere convergence of prediction sequence in L p (1 < p < ?)

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